diff --git "a/data/dm_maths/full_data/10007_11255.jsonl" "b/data/dm_maths/full_data/10007_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10007_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Three letters picked without replacement from prrrrrrpprrr. Give prob of sequence rrp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-4))\/a)**(-7\/4)\/(a**(-9)*a**(-10)))**(9\/5) assuming a is positive.\nAnswer: a**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Let v(p) = -p + 3. What is 10*d(g) - 2*v(g)?\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 - 124. Let m be 2*1*(-78)\/12. Put n, -2, m in descending order.\nAnswer: n, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3227, 12969, 29229, 52019, 81351?\n\"Answer: 2*y**3 + 3247*y**2 - 13*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 810983891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l + 24. Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 42*c + 5. Let z(h) = -8*h - 1. Let j(o) = -2*g(o) - 11*z(o). Let y(r) = -r + 21. Let i be y(16). Let x = i - 6. Determine j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -11\/4 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 15*s**3 + 3*s**4 + 5*s**3 + 1 - 5*s**4 - 33*s**3 to u*s**3 + o*s**2 + a*s + n*s**4 + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmm when three letters picked without replacement from aammiab?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7361 is divided by 154?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, -0.1, 2\/3, 6555\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28848367 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = -2*j. Suppose -7*y + 17 + 11 = 0. Let l = y + j. Do l and 3\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - 5*x)*(4 - 3 + 1) + (-3 + 0 + 2)*(-114*x + 776 - 776) + 21 + x - 3*x - 18.\nAnswer: 110*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1541 = -2*u - 3*u, -4*u = -5*h + 7705. Let a = -672 + h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1226127 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 30695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfgrofrookss. What is prob of sequence rkrg?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -409.6 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/28 and 125\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319465807?\nAnswer: 37, 8634211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56493, -112984, -169475, -225966, -282457?\nAnswer: -338948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/((-72)\/(-6))*218\/(-109)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 96\/18)\/((-3)\/54). Let m = p - -24. Solve -40 = -4*w + 5*l, -2*w = -m*l + 2*l - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003833700496 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((0 - 1 - -27) + (289 - 257)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -105445?\nAnswer: -105452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43 and 32884164.\nAnswer: 32884164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -431 - -1?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d - 7*d + 182 + 2*d + 4*d. Let g(o) = -2*o. Give p(g(i)).\nAnswer: 2*i + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i - 8. Let j be z(-4). What is the greatest common divisor of 120 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -4, 0.2, 145971, -2\/9, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:50 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 - r - 15. Let o be i(4). Let d(l) = 2*l - 7. Let b be d(3). Let p(m) = m**3 + m**2 - 1. Let z(y) = -y**2 + 2. Give b*z(j) + o*p(j).\nAnswer: -3*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 681066\nAnswer: -68106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*u + 5, -11 = -3*z - 5*u - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 + 200*s - 420 = 0.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21762, 87060, 195890, 348252, 544146, 783572?\n\"Answer: 21766*x**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*p - 236*p + 15 = -4*q - 38, -9*p + 39 = 3*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.833562us to nanoseconds.\nAnswer: 8833.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h. Let r(m) = -90083*m. Determine r(t(q)).\nAnswer: 1171079*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 4*j + j + 4*t, 4 = 4*t. What is the remainder when 221 is divided by j?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 - 2*g + 5. Let h(d) = d. Let o(m) = h(m) + y(m). Let z be o(3). Let q = -0.01 + -0.29. What is the biggest value in q, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 155*w + 41*w + 45*w.\nAnswer: -80*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/(-306) - (712\/18)\/2. Put -2, -2\/3, m, 0.5 in ascending order.\nAnswer: m, -2, -2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2. Let y(t) = -5 - 20*t + 2 + 3. What is r(y(d))?\nAnswer: -800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3 = 3*u. Let t(c) = c**2 - c - 1. Let b(m) = -13*m**2 + 2*m + 3. Let l(n) = -b(n) - 4*t(n). What are the prime factors of l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 32054496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/9)*b*b**(-21)*b*b**(1\/9)*b**14 assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + ((-39)\/(-27))\/(28\/(-140)))\/(-7 - -5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -3 (b) -0.4 (c) 12603 (d) 5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.96007 litres?\nAnswer: 57960.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5958752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8328 and 1968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 37*n. Let s(u) be the first derivative of -7*u**3\/3 - 4303. Calculate s(t(q)).\nAnswer: -7*q**4 + 518*q**3 - 9583*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -22*f**3 - 4*f - 7. Is u(-6) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, 1 k, and 1 s when four letters picked without replacement from {k: 1, s: 3, b: 1, j: 1, m: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/(k**(-13)*k) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 8*k**3 - 28*k**2 - 16*k.\nAnswer: 4*k*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24433, 24436, 24441, 24448, 24457, 24468?\n\"Answer: p**2 + 24432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36768 - 3296.49?\nAnswer: -40064.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -w - 2, 6*h + 117659 = -2*w + 117643 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + (-52)\/(-12). Suppose r*y = 12 - 2. Solve -6*z = -y*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(1\/48). Let d be 8\/((-32)\/(-12)) - v. Suppose 2*n - d = -13. Solve -3*l + 1 + n = -k, k - 2 = -2*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513757219 rounded to the nearest one hundred thousand?\nAnswer: -513800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*p - 18, 2*t - 8 = 3*t - 3*p. Let f be ((-2)\/30)\/(2\/t). Let m = -164 + 167. Which is the smallest value? (a) m (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94091?\nAnswer: 37, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-392)\/35 + 11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60744, -60753, -60762, -60771, -60780?\nAnswer: -60789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 21 = 34*w. Suppose 5*q + w*s - 371 = 282, -5 = 5*s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*a**3 - 30027*a + 30026*a - 27*a**3 + 0*a**3.\nAnswer: -92*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/3206921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5 + 3580850*d**4 + 71617548*d**3 + 451191748*d**2 + 701855126*d - 1228245270 = 0.\nAnswer: -7, 1, 1790445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -58, -85, -112, -139?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 - -878. Calculate the greatest common factor of k and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (-28)\/10. Let x(o) = o**3 + 2*o**2 - 4*o - 1. Let g be x(m). Let h be ((-26)\/39)\/((-3)\/(-9)) - -4. Solve -3*q = -g*q, 0 = h*s + 5*q + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001114606294 rounded to 6 decimal places?\nAnswer: -0.001115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.97 - -0.03. Let x = 2 + c. Put -4, x, -3 in descending order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 17098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (208\/(-39))\/(3\/(-648)). Calculate the common denominator of -29\/3 and 1\/2*b\/(-81)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541942 to the power of 1\/2, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3324 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(76) + -4 - -6*(-1 + sqrt(76)))**2.\nAnswer: -364*sqrt(19) + 3893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1160456\/66 + (-7)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (624 - 1151 + 41 - 530 - 1361)*(f - f - 2*f) to k + h*f and give h.\nAnswer: 4754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -212*a**4 + 650 wrt a?\nAnswer: -848*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27869 is divided by 4383?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -54506, -108993, -163478, -217961, -272442, -326921, -381398?\n\"Answer: m**2 - 54490*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 349*m + 3572. Calculate v(105).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26912 * 1521.\nAnswer: -40933152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k + 8. Let d be p(-6). Let t(y) = y**2 - y. Let x be t(d). Let n = 13 + -79\/6. Which is the second biggest value? (a) n (b) x (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*q**2 - 53*q**2 - 2 - 7*q + 102*q**2 + (-7*q + 3*q + 2*q)*(-2*q - q + 0*q).\nAnswer: 7*q**2 - 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47797171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x = -2*b - 40, -105 = 5*b - 4*x. Let u = -15 - b. Let d = -14 - -33. Calculate the remainder when d is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*21\/(-525)*6*(-10)\/4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 4*m + 41\/2*m**2 - 12. Differentiate f(o) wrt o.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/275 - (-1496)\/935?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w**(-11)\/w*((w*w**(-9))\/w)\/((w*w**(1\/4))\/w*w))**(-1\/39) assuming w is positive.\nAnswer: w**(19\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + 1 + (17 - (17 + 10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 2 + 3*v**2 + 4*v + 2*v - 2*v - 3*v**3. Let t be z(-2). Suppose -3*b + 4*b - t = 0. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597349 is divided by 2004?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4882 is divided by 162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-5))\/(-6 + 60\/8)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/7)*k**(1\/5)*(k**(-1\/3))**(-2\/37))\/((k\/(k**2*k*k)*k*k*k)**13)**(3\/20) assuming k is positive.\nAnswer: k**(3622\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + -2.04. Let x = 0.26 - z. What is the nearest to x in -0.2, -3, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -445*b + 36130. What is r(82)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292951 - 176687 - 210426 = -8832*b for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/3*(-9)\/2. Suppose -1186*x + 9902 = -7888. What is the highest common factor of k and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0.5, 0.2, -24 in decreasing order.\nAnswer: 4, 0.5, 0.2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36009500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 5*q + (-4 + 2 + 4)*(-2*q + 2*q - q) + 5*q - 2*q - 2*q)*(q + q - 4*q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347096?\nAnswer: 2, 43, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -4. Let t be (0 - 0) + (-6)\/(-3). Suppose -t*q = 2*i - 8, -4*i + n = q - 0. Put -5, i, 1 in increasing order.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5\/6 - d**4\/2 + 9*d**3\/2 - 25*d**2\/6 + d = 0. What is d?\nAnswer: -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 2*i)*(0*i - 4*i + 0*i) + 4*i**2 - 2*i**2 - 3*i**2 - 3*i**2 + 3 - 3.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -5613776?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u - 16*u + 250. Let t = 46 + u. Put -1, t, 2, 3 in increasing order.\nAnswer: t, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 26) + (-11 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 18*t**2 + 114*t - 147. What is j(-20)?\nAnswer: -3227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 4*s - 7 = 0, 0 = -3*s + 6. Suppose -5*y - q + 20 = 0. Let p be y + (0 + 3 - 3). Solve -p*z - z = 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 6*c - 2. Give n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 0*r - 4*r + 6*r + 3*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -94, 121727 in increasing order.\nAnswer: -94, 15, 121727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 + 4 + 8*o - 13*o**2 + 1 + 18*o**2 - 4. Let s(w) = w + 1. Determine -c(a) + 2*s(a).\nAnswer: -a**2 - 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 42771 (b) -4.79 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*l**4 + 88*l**2 - 52*l**4 + 3*l**3 - 4*l**3 - 6*l**2 - 70*l**4 wrt l.\nAnswer: -4632*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -14) + (5 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50\/30)\/(5 + 525\/(-108)). Solve 10*w + y = 16*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7702 or 1?\nAnswer: 3\/7702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24961 = 13*x + 7060. Suppose 7733 = 14*z + x. Is 77 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.8. Let d = -3 - y. Let j = -1 - 1. What is the second biggest value in j, -1\/3, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462668756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 108\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-84)\/(-8))\/(-7))\/((-54)\/(-18)). Let g = 1.07 + 51.93. Is n >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 5*j**2 + 4*j**2 + 2 + 30*j**3 - 32*j**3 + 3*j**2. Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/((-14)\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, w: 2, k: 4, d: 4}. Give prob of picking 4 d.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 64. What is the units digit of (-925)\/d + (-2)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*k - 0*k - 27, 3*b = -2*k + 12. Suppose -b*c + 51 + 3 = 0. Factor -5*p**3 - 3*p**3 - 4*p**3 + 9*p**3 - 6*p + c*p**2.\nAnswer: -3*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-21) - (-92398)\/21. Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 6*l - 14. Let h be t(6). Suppose -y + h = -20. Is y a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/75 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -5 (c) -1\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 15. Suppose -o - 5 = -5*j. Suppose -3*i = j*i. Solve p - 4 = i, 6 = -h + 4*p - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4114 or 4118?\nAnswer: 4118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -1. Let j = 171.78 - 173. Let c = q - j. Round c to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 + 1\/12*h**4 + h**2 + 0*h**3 + 0*h. Let i(x) = -x. What is i(j(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 651 - 428. Let v = m - 82. Let y = 194 + v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25933 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 271.5 and -152561319.\nAnswer: -152561047.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b - 5. Let x be v(4). Let w = -17 + x. Let c = -15 - w. Solve -c = 2*m + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5097036 times -17?\nAnswer: -86649612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 312 = 92. Let y be 1\/2 + 183\/2. Let x = y - t. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -602.0995357 - -602.1. Round z to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.12 + -0.12. Let n be (6\/81)\/(4\/(-24)). Let l = -12.9 - -13. Which is the closest to l? (a) n (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k**2 - 11*k. Let r(t) = -3*t**2 - 2*t. Calculate 11*r(z) - 2*x(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -69 + -96 + -145 + 297\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {c: 4, j: 10, n: 2, u: 2, d: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -11*b**6\/720 - b**5\/4 - 19*b**4\/24 - 25*b**2 + 1. Let a(i) be the second derivative of c(i). Differentiate a(l) wrt l.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*u + 491*u = 52. Suppose -46 = 5*x - 16. What is the third biggest value in x, 3\/5, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -272?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*i - 38*i + 61*i**2 - 37*i - 25*i.\nAnswer: 61*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*4*(-28)\/(-24). Let f = t + 36. Find the common denominator of 99\/26 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 21980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -560*y**3 + 10*y**2 - 15*y + 2. Let o(a) = -2238*a**3 + 42*a**2 - 63*a + 9. Calculate 5*o(b) - 21*s(b).\nAnswer: 570*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -18 + 45 + 22 + -59.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (10 + -6 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -3 (d) 747\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Suppose m = f + 1. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13122*h**4 + 7255212120*h**3 + 3224536992*h**2 + 1433127296*h\/3 + 70771712\/3 = 0. What is h?\nAnswer: -552904, -4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0*o**3 + 1\/20*o**5 - 1\/4*o**4 + 1\/2*o**2 + 10*o + 0. Determine a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - n = -4*k + 240, 0 = -2*k - 4*n - 472. Let y = -1222\/5 - k. Which is smaller: y or -6\/31?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9207744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.89 - -16.88998901. What is p rounded to 7 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33, 0.4, -4, -59, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**4\/4 + s**3 + 5*s**2\/2 + s + 3. What are the prime factors of a(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 at most as big as 58579\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*w + 9. Let b be w\/((-6)\/(-15) - 0). Suppose -4*u = b*o - 125, o - 2 + 5 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z - 4*q - 160 = 0, -z + 3*q + 45 = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 500*l**3 - 34954640*l**2 + 9787236*l + 1677816 = 0?\nAnswer: -3\/25, 2\/5, 69909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4539 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 22. What is the biggest value in 2\/9, -2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4 and -79\/4436.\nAnswer: 4436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (247 - (133 - 11))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3387 or -2?\nAnswer: 3387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -82 - 0 - (-3 + 2 + 5). Let k = 91 + v. Let z(c) = c**2 - 4*c - 6. Calculate z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - -16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Suppose 0 = -z*i + 2*c, 5*i - 3*c + 4 = 3*i. Suppose 16 = -3*q - q. What is the smallest value in q, i, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p\/p**3))**(-1\/2)*(p**(2\/25))**(-3\/5) assuming p is positive.\nAnswer: p**(-387\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255 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: Suppose -5*j = -r - 4 - 3, 2*j = 4*r + 10. Let d be -2 - 2 - j - 2. Let b = -5 - d. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (6 - (-47 + 0 + 13))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 - 8)) + 4 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 = -129*g - 2089 - 819 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1696482 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**7\/280 - s**5\/40 + s**3\/3 + 2. Let t(v) be the third derivative of u(v). What is the second derivative of t(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 195\/64*(-24)\/(-14). Let u = k - 81\/14. What is the common denominator of u and (-1)\/2 + 40\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63014 and 0.6.\nAnswer: -37808.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5158496 + 4?\nAnswer: 5158500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5)*(-5)\/3. Let v = -1.107 + 0.107. Is v at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 1 + -11*2\/(-4). Solve -3\/4 + 1\/4*x**2 - y*x = 0 for x.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152062*d**2 - 1120*d + 97.\nAnswer: 304124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v + 6. Let t be w(5). Let j(m) = -8 + t - m - 1. Let y be j(-7). Solve 0 = y*d - 18 - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let i(w) = 4*w - 15212998. Calculate i(l(t)).\nAnswer: -8*t**2 - 15212998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2208, 2200, 2180, 2142, 2080, 1988, 1860, 1690?\n\"Answer: -y**3 - y + 2210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (2 + 0\/(-4)). Suppose 4*h + h + 18 = g*d, 29 = 5*d - 3*h. Suppose -184 = 3*y - d*y. Calculate the remainder when y is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ffxxfffffxxxx?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25616*k - 6374*k - 6406*k - 6367*k - 6409*k.\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 13*q + 13. Is j(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 + 8 = 0. Suppose p*o - 200 = o. 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: Let m(p) = -p**3 - 18*p**3 + 21*p + 17 + 6*p**3 - 5*p**2 - p**2. Let b(s) = -7*s**3 - 3*s**2 + 11*s + 9. Let h(n) = -11*b(n) + 6*m(n). Determine h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -1105 - 567. List the prime factors of j.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j + 5*o - 8 = 0, -o - 4 = 3*j. Which is the nearest to 2? (a) j (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2898 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936.763 years to decades.\nAnswer: 93.6763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0*n**2 + 0*n**2 - n**5) + (0*n + 9*n**3 + 0*n)*(1 - 1 - 2)*(6*n**2 - 3*n**2 - 2*n**2) - n**5 - n**5 + 0*n**5.\nAnswer: -19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/12, 0.0562, -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*h - 5*i, -3*i + 1 = h - 10. Find the first derivative of h + 20*x**3 - 6*x**3 - 4 wrt x.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkkkvvvvkvvkkvv. What is prob of picking 1 v and 1 k?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-38))\/(15\/20).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 2*b - 3*b + 6*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1415570 divided by 1.\nAnswer: -1415570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-242)\/120 - 2\/(-1). Let g = -937\/20 + 47. Let p = r - g. What is the third biggest value in -0.5, p, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -44041114?\nAnswer: -44041123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -654225 smaller than -654224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -2*x + r + 6, 0 = -3*x - 5*r - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:29 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175418945 to the nearest integer?\nAnswer: 13245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 9. Suppose -q + 67 = s + 3*s, -5*s - q = -83. Suppose 5*t = -2*h + h - s, t + 12 = 2*h. Let b be d(h). Solve 5*v - b = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 6*x**2 + 5. Let u be f(-6). Suppose 0 = 2*y + y + 4*n - 145, 3*n = -u*y + 249. Suppose y = 2*p - 551. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -51.227. Let z = -0.173 - p. What is the third biggest value in -5, 11, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose i = -3*g - w + 61, 4*g + 8*w = 3*w + 85. What is the smallest common multiple of g and (-500)\/(-42) - ((-256)\/42 + 6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 16785*r + 16788.\nAnswer: -3*(r - 5596)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*-3)\/sqrt(2)*3 + 0.\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1022, -1120, -1216, -1310, -1402, -1492, -1580?\n\"Answer: m**2 - 101*m - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -4 - (251 + -250) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -5*x + 41, -5*x = -12*t + 10*t - 33 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + (sqrt(833) - (-3*1*sqrt(833) + sqrt(833))))**2 + -3).\nAnswer: -126*sqrt(17) + 22485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/48)\/((-6)\/220) and -65\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - q**2 - 1838564 - 553*q**3 + 587*q**3 + 1838564 + 0*q.\nAnswer: 34*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 5. Let d be j(5). Suppose c = 3*w + 22, -c + d*w = -0*w - 28. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -190 + 205. Let a be (-56)\/(-8) + -9 + -1 + m. Determine v, given that v**2 + a + 27\/5*v = 0.\nAnswer: -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 + 19*u + 22. Let l(k) = 6*k**3 - 29*k**2 - 94*k - 112. Let v(p) = -2*l(p) - 11*z(p). Solve v(h) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (289363 + 1)*(-5)\/(-10). Let f = d - 964682. What is f rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*x - 475, 5*m + 3*x - 760 = x. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 68, 65, 20, -79, -244, -487, -820?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (104027\/(-360))\/49 and 29\/12.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 5. Let b(v) = 2*v - 6. Let w(q) = 5*b(q) + 6*t(q). Let j(m) = 4*m. Let z(y) = 21*y. Let g(l) = -22*j(l) + 4*z(l). Calculate g(w(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -15*a - 38. Let k be u(-7). Let x = k - 66. What is the closest to x in -1\/3, 3\/2, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*i**4 + 0 - 28\/5*i**3 - 62\/5*i**2 + 252\/5*i = 0. Calculate i.\nAnswer: -9, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -v + 44 - 2, t + 3 = 0. Solve v*u + 1 = 14*u, -w = 3*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*l + 14 = 0, -2 = -3*l + 4. Let c(n) = -n**2 + x*n + 25*n + 4*n - 3*n + 53. Let v be c(26). Calculate the highest common divisor of v and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -16, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 4. Let w(s) = s**2 - 2*s - 4. What is the least common multiple of ((-64)\/20)\/(1\/(-5)) and w(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-63354)\/(-21) + 5\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 607 = -3*f, -465 = -3*r + 4*f - 3*f. Suppose r + 2 = -13*s. Is -12 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-8))**(-26))**(-40))**39)**(6\/5) assuming s is positive.\nAnswer: s**(-389376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103582 (base 10) to base 11.\nAnswer: -70906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -172719*r + 172719*r + r**2. Let w(q) = q**2 - 21*q. Give w(k(u)).\nAnswer: u**4 - 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r - 1740 = 3*h, 5*r - 3*h = 2175. Let o(a) = -443*a + 894*a - r*a. Let d(p) = 2*p + 2*p - 3*p. What is o(d(y))?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926 is divided by 242?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 11:59 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 5*u - 3. Calculate the remainder when c(-3) is divided by (1 - 0 - (-1 + 1))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -43592*o**2. Let r(l) = -7*l. Calculate r(h(a)).\nAnswer: 305144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 128643, 5 in decreasing order.\nAnswer: 128643, 5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 99498*l + 1791271. Calculate r(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + c)*(-2 - 1 + 1)*(3 - 1 + 0)*(1 + 2*c**3 - 4*c**3 - c**3 + (5*c - 4*c - 3*c)*(-3*c**2 + 0*c**2 + c**2) + 2*c - 2*c + c**3).\nAnswer: 8*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/156 and -7\/1031325.\nAnswer: 53628900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 32390 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18404354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:20 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icwc when four letters picked without replacement from iwwcwwiicwwi?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -f. Let v be 3 + f + (1 - -13). What is the units digit of (-6)\/v + 37\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266\/(-28) - -9 - (-3)\/(12\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8319089*n**4 + 469342*n**2?\nAnswer: -199658136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 - k. Let t be d(1). Let p = 1.1 - 0.1. Which is the third biggest value? (a) t (b) p (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 3*a, 7*a - 3*a = u + 7. Let p(w) = -2 + 928*w - 461*w - 466*w. Give p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v + 271 = 99 + 120 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254680.\nAnswer: 2, 5, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5349 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -350.4 + 350. Let s = 0.1 - -0.1. Which is the nearest to 1? (a) m (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*6451710\nAnswer: -83872230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 8*p**2 + 2*p**2 + 4*p**3 + 2*p**2 to j*p**3 + g + u*p + h*p**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4901 + 5070. Is 83 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-36) - ((-1680)\/64)\/(-35).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/(-25)*54\/24. Which is the second smallest value? (a) -2\/17 (b) 17 (c) 2\/5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134.576 to the nearest integer.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g*g*g*g*(g*g**(-12)*g)\/g*g))\/g)**32\/(g\/g**(4\/9))**(-4) assuming g is positive.\nAnswer: g**(2036\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33407008 divided by 3?\nAnswer: 33407008\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)*x*x*x*x**(1\/5)*x*(x**(-8)\/x)\/x**(2\/5) assuming x is positive.\nAnswer: x**(-296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - n + 9, -13 = 480*o - 484*o - n. Solve 2*q + 3*c = -9, -4*q + 4*c + 8 = -o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, 0, -1, 5 in decreasing order.\nAnswer: 13, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 78*m**2 - 158*m + 272. Calculate d(-41).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13736 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 359, 784, 1379, 2144, 3079?\nAnswer: 4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5079 and -0.5?\nAnswer: 2539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107278590 minus 14873?\nAnswer: 107263717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16985910 divided by -20?\nAnswer: 1698591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694558040 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3 + (-180460)\/60153) + 3. Let c be (2\/(-5))\/(6\/n). Suppose 4*y = d + 2133 - 10138, -2*y + 2*d - c = 0. What is y rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(-c + 0 + 0) - 1378 + 1378 + 1776*c - c - c + 0*c to q*c + l and give q.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.279612 + -2.28. Round w to five decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 398992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 876.355 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 70 and 32933\/462 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let t(m) = 2366*m + 112. Let y(b) = 64*b + 3. Let p(w) = 3*t(w) - 112*y(w). Determine n(p(i)).\nAnswer: 4900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67\/200 - 1\/25. Which is the nearest to 2\/7? (a) 1 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/4608)\/((-18)\/(-32))?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 809386940 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0449997 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 28?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 440*x - 11. Let d(o) = 441*o - 15. Determine -2*d(b) + 3*w(b).\nAnswer: 438*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4 - 4 + 10*i**2 + 6*i - 58*i**2 + 52*i**2 + 4*i**2 + i**3. Calculate f(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 4*a - 36, 5*s - 48 = 4*a. Let r = -166 - -170. Solve 0 = r*g - 3*i - 3, g + s = 3*g + 2*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 2816*g\/3 + 44940.\nAnswer: -4*(g - 749)*(g + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, l: 2, t: 4, m: 3, g: 3}. What is prob of picking 1 x and 1 l?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 706 from 12.\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -207.0618 - -207. Let u = j - -0.0618. Put u, -1\/45, -0.2, 0.3 in increasing order.\nAnswer: -0.2, -1\/45, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18061.9999923505 + -18062. Round o to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40582202 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8991720 and -23\/400.\nAnswer: 89917200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19856373211\/611464 + 26766\/10919. Suppose 4*v = -f + 129904, 2*v + 3*f = -0*v + 64962. Let d = v - p. What is the common denominator of -67\/20 and d?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1127392 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3891*m**2 + 26*m - 1939*m**2 - 1937*m**2)*(-3*m + 1 - m**2 + 3 - 5) to w + o*m**4 + u*m + t*m**3 + v*m**2 and give t.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 3 + 8*u + 2.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4\/(-18) + ((-6)\/8 - 5955755\/(-468))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 73. Let o(j) = -j**3 + 16*j**2 + 16*j + 19. Calculate the least common multiple of o(17) and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -126, 0.4 in descending order.\nAnswer: 0.4, -0.1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -14 (b) -5 (c) -1849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 29679581 and 29679579 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16059\/11 + -1461. Let q = -24.2 + 27. Let u = 3 - q. Sort u, v, -2\/13.\nAnswer: v, -2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s - 2*s + 11*s**2 + 8 + 0 + s**3 + 5*s. Calculate the remainder when 206 is divided by n(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228369137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 244199276 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -9.5.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 989175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7985, -15977, -23969, -31961, -39953, -47945?\n\"Answer: -7992*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Suppose 2 + a = -s. Let p(z) = z**3 - 15*z**2 - 34*z + 11. Let x be p(17). Put x, s, -4 in ascending order.\nAnswer: s, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 7. Let o be w(-11). Suppose 0 = b + g - 3, o*b - 8 = -0*g - 2*g. Calculate the highest common divisor of 11 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 3, -1\/2, -5, -85 in increasing order.\nAnswer: -85, -14, -5, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459576 to the power of 1\/2, to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12264.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 246782, 2\/7, -1\/4 in increasing order.\nAnswer: -1\/4, 2\/7, 2, 246782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2274720 divided by -6770.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:05 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 16*n + 10. Calculate j(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1222230 (base 5) to base 3\nAnswer: 1012011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -40. Let d = 45.44 - u. What is d rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 = -0*v + v, -4*v + 5*d + 16 = 0. Sort 4, v, -5.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5275.061 and 14.271?\nAnswer: 5260.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*j = 13*j - 324. Suppose -125 = 5*m + 5*g, -3*m - 4*g - 40 = -m. Let h = j - m. Calculate the remainder when 21 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 2*g - 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppac when four letters picked without replacement from pappizczpcic.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.580659 minutes to seconds.\nAnswer: 334.83954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (2 + sqrt(833)*-1) - (sqrt(833)*-1 + -4 - sqrt(833))) + -2*sqrt(833)*-3 + -1 + 4)**2.\nAnswer: 700*sqrt(17) + 83325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) 0.3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*m = -132. Suppose 19*h - m*h + 51 = 0. Suppose 4 = 5*a + 4*r - h, -5*r = a. Solve -a*x = -12 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 1. Let s(f) = 2*f - 1. Let m = -56 + 59. Let u(l) = 72*l - 71*l - 4 - 6 - m. Let v be u(8). Calculate v*s(j) - 4*w(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dee when three letters picked without replacement from nuennnundununbdeend?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108634 - 108634. Determine l, given that 4\/5*l**3 - 24\/5*l**2 + r + 4\/5*l**5 + 16\/5*l**4 + 0*l = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = -2*q - 6, -4*r - 15 = -q. Solve -2*m + q = 3*t - 2*t, -6 = -3*t - 5*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddzzzzddpdzpdzz. What is prob of sequence dz?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 5*o + 2550005, -5*i + 4249999 = o. Round i to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357167\/4698 - -2211\/29. Find the common denominator of 513\/60 + 2\/(-8) and m.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366494 less than -366489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 2, c: 1}. Give prob of picking 1 l, 1 c, and 1 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -677*q**3 + 784*q**4 + 677*q**3 - 458 - 3*q**2 wrt q?\nAnswer: 18816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {d: 2, k: 1, z: 1, u: 5, m: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 12*d + 22. Suppose 2*k - 962 = -r, d*r - 328 = 2*k - 1310. List the prime factors of k.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 5.6. Let r = -6.00001 - n. Round r to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, 1\/9, 3, -184, -2 in decreasing order.\nAnswer: 3, 2, 0.4, 1\/9, -2, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 69*b - 8311. What is a(63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**6\/10 + 2*u**3\/3 + 3*u. What is the second derivative of q(v) wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -944 less than 3846984?\nAnswer: 3847928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 80 = 20. Let k = y - 41. Let t = k - -16. What is the third smallest value in t, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15. Let b(g) = -4*g - 220. Let r(c) = b(c) - 16*k(c). Let x(y) = y + 1. Calculate -r(u) - 3*x(u).\nAnswer: u - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 5. Let u(t) = -t**3 + 11*t**2 - 11*t + 23. What is the remainder when (-257)\/h + 6\/(-15) is divided by u(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1259, -1255, -1251?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 1. Suppose 192 = -33*r + 17*r. Determine s(r).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440532243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 2*w**5 + 0*w**4 + w**4 + (2*w + w**4 - 2*w)*(2*w + 2 - 2) + 0*w**5 + w**5 - 2*w**5 - 3 + 3 - 2*w**5.\nAnswer: w**5 + 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0917048 nanograms to grams.\nAnswer: 0.0000000000917048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151329.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -466 (b) -0.3 (c) 6 (d) 1\/12 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -3, -5.\nAnswer: -5, -3, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r. Let p be f(-3). Let s = p + -4. Calculate the lowest common multiple of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1438 and 1436 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*z = z - 166, 3*g + 142 = -5*z. Let p = g - -87. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1 (b) 2\/7 (c) -10 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 15*v - 55. Let j be (-3)\/((147\/(-6))\/7 + 2). Suppose 5*r + 27 = -4*b + 124, j*b - 2*r - 26 = 0. Let s be l(b). Let n(p) = 6*p. Determine n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76976, -153863, -230750, -307637, -384524, -461411?\n\"Answer: -76887*v - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -11. Let z(l) = -l**3 + 12*l**2 + 11*l + 22. Let c be z(13). Let i = n - c. Is -1\/10 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-36) - 302\/(-8). Let x = c + -18. Let n be 105\/x + 1\/(-4). Sort -5, n, 2.\nAnswer: -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 328.6 and 2?\nAnswer: 657.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8723 + 0.1277. Sort -0.4, 47, r, 2.\nAnswer: -0.4, r, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*b - 23414 = 27*b - 31*b for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 + 77. Let r be 25593\/95 + (i\/5 - -1). Suppose -r = -13*a - 2*a. What is the remainder when 106 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilogram in grams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:55 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204652\/(-14618))\/((24\/(-39))\/4).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31616 is divided by 427.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1809622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 232470.975 rounded to the nearest 1000?\nAnswer: 232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 7 = 5*l. Let q = 1 - l. Let k be 23\/5 + (-2)\/q. Sort 0, k, 1\/5.\nAnswer: 0, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 6765.\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 6. Let f(i) be the first derivative of -i**2 - 10*i + 21. Let l be f(-3). Give y(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 940 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = -38. Let h = -25 - -35. Let y = h + a. Solve y*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4987 = 614*d + 28319 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 50320909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/(z*(z\/((z\/z**(1\/3))\/z))\/z))*z)\/z**6)\/(((z\/(z**(2\/43)\/z*z))\/z)\/(z\/(z**(-1\/3)*z))))**(16\/7) assuming z is positive.\nAnswer: z**(-1264\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277478 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((15 + 10 + (-833)\/34)*56).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.996 + -0.004. Sort -0.05, d, -0.1.\nAnswer: d, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -956, -1918, -2880, -3842, -4804?\n\"Answer: -962*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 2*t + 2 + 0*t - 41*t**3.\nAnswer: -41*t**3 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 5. Let v be r(-4). Let z = -27 - -21. Let u(n) = -n**2 - 6*n + 1. Let w be u(z). Sort 2, w, v.\nAnswer: v, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/46)\/(18*43\/5934)?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -149134 times 1.8?\nAnswer: -268441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a29303 - -4?\nAnswer: 13a29307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-2)\/((-2)\/(-3)). Suppose -4*k = 5*h - 334, 202 = 3*h + 4*k - i*k. Suppose -3*l + h = 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94.947 and -22.\nAnswer: 2088.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**42*s**(1\/18)*s**(-1\/9))**(-28) assuming s is positive.\nAnswer: s**(2660\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31491 divided by 3.\nAnswer: 10497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-462)\/(-168))\/((-1)\/4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/10*8\/(-5). Suppose -5*y + 4 = -11. Solve y*a = 3 - 9, b*a = -3*g - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + 1. Suppose -6*j + 92 = -2*j. Let a = x - j. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s**2 - 6732. Suppose 4*j - 5*v - 28 = 0, j + 2*v = 5*j - 16. Let r(d) = 2*d**2 + d**2 - 4*d**j. Calculate p(r(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 376 - -7882?\nAnswer: 7c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -68*r**3\/3 - 8*r**2 + 30*r - 2. What is the derivative of l(f) wrt f?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750215.\nAnswer: 5, 19, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 19. Let s be n(8). Let i(u) = -6*u**2 + 4. Let p(l) = 7*l**2 - 5. What is s*i(b) + 4*p(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-1 + 0 + -5 + -3 - -15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*g**3*v**4 - 233*g**3 - 8*v**4 + 4*v**2 wrt v.\nAnswer: -1176*g**3*v - 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrzb when four letters picked without replacement from {y: 2, b: 1, z: 1, r: 3, w: 1, k: 5}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, 3, -4, 21 in increasing order.\nAnswer: -290, -4, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*i = 131624 - 20304. Calculate the least common multiple of 9 and i.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4754998113 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 33. Suppose -104 = -t - 91. Let a(j) = t*j**2 - 29*j**2 + 9*j**2 + 5*j**2. Give p(a(k)).\nAnswer: 8*k**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 9*m + 6. Let g be h(-8). Let v(j) = g*j - 2*j - 5*j. Let i(w) be the first derivative of -2*w**3\/3 - 7. What is i(v(u))?\nAnswer: -98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236057451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l**2 + 181*l**2 - 111*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 - 290. What is the remainder when i is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -454, -1016, -1802?\nAnswer: -2812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (73 + -54)) + -1 + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 - 173*g**2 + 1440*g + 5904 = 0. Calculate g.\nAnswer: -3, 12, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28828795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 0) + 3 - (-2 - (-7 - 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 1, 0.11, 0, 3\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10761139 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + b + (2*b - 4 + 4)*(3 - 2 + 1) - 3 + 3 + b - 456*b + 1543*b + 2293*b + (3*b - 7*b + 2*b)*(3 - 2 - 3) + 2*b - b + b.\nAnswer: 3392*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 239, 368, 501, 638?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32945, -34430, -36903, -40364, -44813, -50250, -56675?\nAnswer: -64088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*l + 59 = -61, 2*l = 0. Let b = 49 - d. Solve -i + 4*k + 5 = 2*k, 5*i - b = -3*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/26 + 4 - (-174)\/390?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 1. Let q(h) = -3*h - 2. Let n(j) = 5*l(j) - 3*q(j). Let f = 9 + -7. Let d be f - 2\/(2\/7). What is n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3\/3 - 56788*y**2 - 4423380*y - 86216364 = 0. What is y?\nAnswer: -42513, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 1. Let c(i) = 6*i - 4. Let x(v) = 2*c(v) - 10*l(v). Let p(j) be the second derivative of j**2\/2 - 7*j. Let f(d) = -3*p(d) - x(d). Give f(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**2))**(6\/5))**(1\/27))**(1\/4) assuming c is positive.\nAnswer: c**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 53*n**2 - 27*n + 5. Let b be x(27). What is the second biggest value in 1\/4, b, -1\/5, -76?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720350360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/44 + 12\/11. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l**2 - l - 16. Let c(a) = 5*a**2 - 4. Determine -9*c(o) + 2*v(o).\nAnswer: -3*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -3\/2, 154171, 2, -2, 1\/11, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 13628 - 13628. Let w(x) = -2*x**2 - 2. Determine y(w(d)).\nAnswer: 4*d**4 + 8*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 100 = 2*l + 2*l, -l + 125 = 3*w. What is the remainder when w is divided by (-1 - (4 + -8))*7?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -37*s + 5. Let g(m) = 66*m - 9. Let a(c) = -3*g(c) - 5*l(c). Let d(r) = -6*r + 1. Suppose -2*o = 4*x + 12, x - 2*o = -o - 6. Give x*a(k) + 9*d(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/10131 and -1\/6.\nAnswer: 20262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3)\/(1\/2*-2). Suppose 154 = 3*b - 110. Let k = -80 + b. Solve 2*f + k = t, -5*j + 0*f - 4*f + 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + -5 + 1. Sort j, 3, 4 in decreasing order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**2 - 2. Let w(r) = 4*r**2. Let n(u) = u**2. Let m(q) = -7*n(q) + 2*w(q). Give b(m(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010101000011000 (base 2) in base 11?\nAnswer: -336002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*w - n - 505, 2*w + 3*n + 336 = 0. Let q = -55 - 25. Let x = q - w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 572\/8*(-1 + -1). Let l = 347 + j. Suppose 3*s - 78 = l. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -51.8, -4\/743, -4\/7?\nAnswer: -4\/743","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/3 (b) -0.24 (c) -0.1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + v + 3*v)*(-3*v**2 + 3*v**2 + 4*v**2) + 0*v**2 - 7*v**2 + 3*v**3 + 0*v**2 to z*v**2 + f*v + g*v**3 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-1)\/(-2)*(7\/7 + 23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -25*w**2 + 5*w + 15. Let y(c) = -25*c**2 + 6*c + 15. Let q(v) = -5*v. Let i be q(-1). Let m(n) = i*y(n) - 6*x(n). Differentiate m(u) wrt u.\nAnswer: 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**2 - 600. Let s(n) = 2*n**2 + 956*n. What is w(s(d))?\nAnswer: 4*d**2 + 1912*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -533*s**6\/10 - 53*s**5\/60 - s**3\/2 - 2*s**2 - 92*s + 2. What is the third derivative of g(a) wrt a?\nAnswer: -38376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -207. What is the least common multiple of p and 102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 364116?\nAnswer: 1456464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2 + 16. Suppose 3*u - 4*m + 55 = 0, 46 = -2*u - 5*m - s. Is 6\/u - 2202\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**3 + 7*h**2 - 4*h + 7. Let k(d) = -3*d + 3 + 5*d**2 + 11955*d**3 + 2 - 11947*d**3. Give -7*k(z) + 5*p(z).\nAnswer: 4*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + d = 15733 + 86192, -3*u + 76439 = -4*d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 11, s: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3345200 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3311322100301 + -23?\nAnswer: 3311322100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3910, -15646, -35208, -62596, -97810, -140850?\n\"Answer: -3913*h**2 + 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*g + 118 - 428 = 0, 0 = -3*m + 6*g + 210. Suppose 3*w - 28 = w. Calculate the remainder when m is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 - 8*w + 6. Let n be o(4). Calculate the highest common divisor of n and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58695458, -58695446, -58695426, -58695398, -58695362?\nAnswer: -58695318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)*r)\/r*r*(r**(-5\/6)*r)\/r)**26\/((r**(-4)\/r)\/r**5*(r**(2\/5))**(-2\/147)) assuming r is positive.\nAnswer: r**(-28337\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -3981?\nAnswer: -3984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45257, -362293, -1222855, -2898707, -5661613, -9783337?\n\"Answer: -45294*x**3 + x**2 + 19*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3055 (base 8) to base 3.\nAnswer: 2011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*r + 5*r. Let u be (-15)\/(-4) - 2\/r. Suppose 3 = 3*m - 2*d - 7, -2*d - 6 = -m. Solve -u*l - 8 = -m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 0.3 (c) -1\/28087 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -89, -198, -359, -578?\n\"Answer: -v**3 - 17*v**2 - 5*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:21 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -115001015 (base 6) to base 9\nAnswer: -4112272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 p when three letters picked without replacement from hxhplphpplpll.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -249030 divided by -124515\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/3 + 104*c**4\/3 + 2*c**3\/3 - 104*c**2\/3 = 0. What is c?\nAnswer: -1, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226*m**5 + 11*m**3 - 7818*m wrt m?\nAnswer: -4520*m**3 + 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/4 + 6. Let f = -12\/31 - -122\/155. Let i = -349\/5 - -70. Which is the nearest to -2\/7? (a) o (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*f + 1 = -33*f - 239 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9651 + -9618. Suppose w - 4*y - 367 = -2*w, -25 = -5*y. Calculate the remainder when w is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 2*r + 51 - 4*r - 5*r**3 as s + m*r + x*r**2 + d*r**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -29876, -1, -30 in ascending order.\nAnswer: -29876, -30, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525522?\nAnswer: 2, 762761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18213 is divided by 13616?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -1994.4\nAnswer: -21938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f - 44 + 44.\nAnswer: -104*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.09 (c) -1\/7 (d) 3 (e) 2\/65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (-21 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/154 and -185\/331296?\nAnswer: 3644256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from bblslsbsbljasssasl?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7593, -15320, -23047?\n\"Answer: -7727*y + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*j + 3*d, d + 71 = 3*j + 31. Suppose -2*n + 10 + 0 = 0. Calculate the smallest common multiple of j and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 < -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 509*o**2. Let c(q) = -6*q + 4. Let f(y) = 35*y - 24. Let m(i) = -12*c(i) - 2*f(i). Give m(n(g)).\nAnswer: 1018*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1014 and 66161577.312.\nAnswer: 66160563.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + p - 3*p + 4*p - 9*p**2 + 2*p**2 - 2. Let m be h(7). What is the remainder when 37 is divided by 11 + 3\/(m\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11065 = -10*p - 1495. What is the greatest common divisor of 99 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 17 + 5. Let t be (1 + l + 2)\/(-1). Suppose -5*c = d + 22, t*d = -d + 2*c + 6. Put -4, d, -5 in descending order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 283, 424?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -31392?\nAnswer: 31389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -65, -197, -453, -875, -1505, -2385?\n\"Answer: -7*y**3 + y**2 - 4*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186891743?\nAnswer: 67, 97, 149, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let f = -422 - -433. Calculate the remainder when f is divided by x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2429 < 571.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4722 or -4723?\nAnswer: -4723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c + 234. Let f be u(-12). Solve -18 = -f*r + 153*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 50*w + 90. List the prime factors of b(10).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:44 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from xxhxhxxbnxxbnxn.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 255, 1148, 2653, 4782, 7547?\n\"Answer: 2*v**3 + 294*v**2 - 3*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 2*q)*(-2 + 1 - 1)*(-1 + 0 - 1 + (5 - 4 + 0)*(5 - 5 + 2) + 1 - 6 + 4).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = 10. Suppose -u*y = -0*y - 10. Suppose -2*k - y = -c + 2*c, 2*c - 2 = -k. Solve -3*p = -3*g + 15, -g + 7 = -c*p - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 16*m**2 + 35. Let p be n(-16). Let j(d) = 3*d**2 - 42*d - 275. What are the prime factors of j(p)?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = -20. Suppose 4*x + 6 = 2*l, l + 0*l + f*x - 31 = 0. What is the highest common factor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 f when four letters picked without replacement from {a: 4, v: 1, f: 2, s: 2, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -74150 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4378765 + 7828765. Let h be ((-80)\/5)\/((-3449998)\/y + 1). Round h to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - 3*r - 5*r**2 + 0*r)*(-3 + 3 - 2*r**3)*(3 + 0 + 0).\nAnswer: -6*r**5 + 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1497533, -5989942, -13477291, -23959580?\n\"Answer: -1497470*d**2 + d - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/6 + 20*g. Let l(q) be the first derivative of -16*q**3\/3 - 441. Determine l(y(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5*i - i)*(-6*i - 97*i + 25*i) - 4*i**2 + 2*i**2 + i**2.\nAnswer: 389*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 7. Let q(f) be the third derivative of -f**7\/2520 + 11*f**5\/6 + 34*f**2. Let z(w) be the third derivative of q(w). What is h(z(v))?\nAnswer: 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 - 12*f + 15. Let h(t) = -13*t**2 + 34*t - 41. Let a(b) = 3*h(b) + 8*l(b). Let d = 5 + -10. Calculate a(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 + 2 - 29) + (-291 - -292)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, -125, -174, -205, -212, -189, -130, -29?\n\"Answer: u**3 - 68*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(76)*2 + -1 - (4*-1*sqrt(76) + sqrt(76) + 0 + 1))**2.\nAnswer: 104*sqrt(19) + 12848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -114 - -115 - (-1 + 4) - (1 - 22)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 86 = -88, -5*w = -4*f - 749. What is the smallest value in w, 0.23, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 67. Suppose 2*p + 3*p + 5*b - k = 0, -b + 5 = 0. Solve 5*v - 4*u + u = -p, 0 = 3*v - u + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:15 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/((-2)\/1))\/((-198316)\/(-842843)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 73 = 13. Suppose 4*p + 4*y - w = 0, 0 = y - 4*y + 9. Sort -0.4, -2, p in decreasing order.\nAnswer: p, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224933 is divided by 14734?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494246484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2. Let x(d) = 115*d + 48. Let c(k) = 2*k + 16. Let z(g) = -6*c(g) + 2*x(g). Calculate z(q(r)).\nAnswer: -872*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -21.6, -11, -0.01, -0.3 in descending order.\nAnswer: -0.01, -0.1, -0.3, -11, -21.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 527935165 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -k. Suppose k*m - 2*d = -35, 2 + 8 = -2*d. Let a = -6 - m. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(119)\/sqrt(7))*-2 + 3 + (-1 + sqrt(1377))**2 + 2.\nAnswer: -22*sqrt(17) + 1383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 10. Suppose -u = -6 + 8. Let c(m) = -5*m + 51. What is u*c(o) - 11*f(o)?\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2288*p - 16. Let y be m(-7). What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -572 or -103969\/182?\nAnswer: -103969\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -17) + 71 + -39.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 21*x**2 + 547*x - 1696. What is y(-29)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 5*w + 35, 184 = -s - 5*w + 187 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and 1\/3*102\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1880123\nAnswer: 5\/1880123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41274 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0.4 (b) -2\/7 (c) 460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r. Let t(o) = -2*o + 135. Let f be t(0). Let h = f - 132. Let s(a) = -a**2 - 7*a. What is h*s(j) + 7*g(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*z = -38, 0 = 4*z + z + 71 - 106 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43949566?\nAnswer: 2, 881, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1245*b**2 + 1244*b**2 - 4961*b**2 + 1242*b**2 + 1242*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0*x**3 - 1\/12*x**4 - 1\/30*x**5 + 0*x + 0 - 5*x**2. Find k, given that c(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -11, -255, 3 in decreasing order.\nAnswer: 3, -3, -9, -11, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2 and -1 + (-332)\/300 - 3\/(-18).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 54*j - 171. What is x(50)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(204)*1 + sqrt(204))\/sqrt(12) + -5)*-5*1)**2.\nAnswer: -2000*sqrt(17) + 9300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2*y + 3. Let u(n) = -n**2 - 10*n - 13. Let i be 1 + -4 - (2 - 5). Suppose i = x + 17 - 8. Let c be u(x). Give s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + 0 + sqrt(405) + -3 + 1 + sqrt(405) + 0)**2 + -4.\nAnswer: -360*sqrt(5) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116724113 to the nearest integer?\nAnswer: 10804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.018, 0, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 13*g - 6. Let w be h(8). Suppose 37 = -i + 14. Let v = i + w. Calculate the smallest common multiple of 9 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 26 + 4*u**3 + 28 + u - 3*u**3 as d + q*u**3 + b*u**2 + s*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 0.46. Let v = -2.1 - 1.9. What is the second biggest value in 1, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/438766 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/3)\/a*a))\/(a\/(a\/(a\/(a\/(a**(-6)*a)*a)))))**(-22) assuming a is positive.\nAnswer: a**(-440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 l, and 1 f when four letters picked without replacement from {l: 2, f: 2, h: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 2. Let b be t(6). Let n = b - -37. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o**2. Let h(w) = -6*w**2 + 17*w. Let n(u) = -2*u**2 + 6*u. Let q(b) = 6*h(b) - 17*n(b). Calculate p(q(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 8*p**3 - 2*p**2 + 2*p**2 + 17*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3 - 11. Suppose -593*p + 66 = -527*p. Let b(t) = 4*t**3 + 4*t**2 + 2*t + 2. Let d(v) = -v**3 - v**2 - 1. Give f*d(k) + p*b(k).\nAnswer: 2*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19098 is divided by 3997?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 216432, 216438, 216444, 216450?\n\"Answer: 6*f + 216426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwvd when four letters picked without replacement from wvwwwxwwwwcwdww?\nAnswer: 11\/32760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + (-4 - -10))\/(4\/(-3)). Let n(y) be the first derivative of -6*y + 0*y**2 + 6 + 8\/3*y**w. What is the first derivative of n(q) wrt q?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 7:07 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - k**4 + (-7*k**2 + 3*k**2 + k**2)*(0*k**2 + 2*k**2 - 6*k**2))*(5 - 2 + 0).\nAnswer: 33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 != -231\/460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*p + a + 183, -148*p + 145*p + 49 = 4*a for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - 4) + (-27 - (14 + -37)) + -46?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:36 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 0*b. Solve 3*w - 8*w + 10 = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1548 + -1541. Let g(t) be the second derivative of -s*t - 5\/9*t**3 + 0 - 4\/3*t**2 - 1\/18*t**4. Factor g(b).\nAnswer: -2*(b + 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 460229*z**6 + 197262*z**2 wrt z?\nAnswer: 55227480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -51 - (-1 + (-21 + 9 - -20))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. What is the third derivative of -3 + j*b**5 + 3 - 2*b**2 - 2*b**2 wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35043810257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 55 + 255 = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) - (-20)\/(-8). Let q be (-2)\/(-5) - (-32)\/20. Let u = -0.34 - 0.06. Which is the nearest to -1? (a) u (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (7 - (-2 - -1)). Suppose a = 4*y - 0*a, -m*a = 0. Solve 2*n - 8 + 0 = y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*r - 48, r - 20 = -3*h + 6. Suppose 3*c + 18 = 6*j - 5*j, 3*j - c - r = 0. Differentiate -69 - j*s**2 + 138 - 98 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -16. Suppose 0 = m*h - 1 - 7, 4*s - 4*h - 8 = 0. Solve 4*r + 3*i - 7 - s = 0, 5*i + 17 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:17 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t + 68. Is o(0) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:24 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 391.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 86*c**2 - 2*c - 5. List the prime factors of n(5).\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22751*f**3*n**3 - 836*f**3*n**2 + f**2*n - f*n**2 + 41*n**2 wrt n.\nAnswer: -136506*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 36. Let g = -2 - h. Suppose -g*d = 5*v - 407 - 124, v = -2*d + 267. List the prime factors of d.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*l - 8, 0 = 2*r - 2*l + 3*l + 2. Let m = 20 + r. Suppose 3*z - m = -5. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 398, -35 in descending order.\nAnswer: 398, 1\/5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*y**2 + 467*y**2 + 466*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - q**3 + q**3)*(q - 2*q + 2*q)*(q + q + q + (3 + 3 - 5)*(-q + 2 - 2)).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1275)*2)\/(sqrt(75) + (4*sqrt(75) - sqrt(75) - sqrt(75))))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -484366*v**2 + 0*v + 484364*v**2 + 0*v. Let o(k) = 2006*k**2. Determine o(u(x)).\nAnswer: 8024*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 62396*g + 0*g**3 + 62419*g - g**2 - 5*g**3 - g**3 to v*g**3 + q*g**2 + a*g + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 82 - 9)*(3 + 0 - 4)*(-11*v - 12*v + 34*v) to f*v + k and give f.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 1, b: 2, s: 1}. What is prob of sequence gsb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l + 48*m - 43*m, 2*l = -4*m - 20. Solve -d - 2 = -l*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)*(-2 - -6 - 1). Let v(m) be the first derivative of -5*m**2 - 10\/3*m**s + 0*m - 2. What is the second derivative of v(g) wrt g?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 (base 7) in base 6?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1941 and 28783089.\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 5, 1 = -2*p - p - 2*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -66353517 less than -7.8?\nAnswer: 66353509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0224 + -0.0436. Let b = -0.006 - u. Let c be -3*1\/(-4) + 0. What is the nearest to b in c, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 - (-3 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:20 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 21 - 37*r + 19 - 6*r. Let w be v(-1). Calculate the highest common factor of w and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(759\/2)\/(-11). Let t = 132 + j. Is (-196008)\/t - (-1)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(448)*2.\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10 and 125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/5 + 472372*j\/5 - 283425 = 0. Calculate j.\nAnswer: -472375, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/5 (b) 0.8 (c) 1 (d) 2\/167 (e) -1.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 + 33*q**2 + 59*q**3 + 11*q**2.\nAnswer: 59*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 38*c - 88. What is the tens digit of b(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5\/3 + 400*j**4 - 3676*j**3 + 29600*j**2\/3 - 6592*j = 0.\nAnswer: -309, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:49 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*d - 71852 - 40964. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 4*x - 2*x + x - 12*x**3.\nAnswer: -13*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 3*d**3 - 3*d**3 + (-3 + 0 + 1)*(0*d**4 - d**4 - d**4) + 17*d**4 + 12*d**4 + 2*d**4.\nAnswer: 33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -120001*i**2 + 11*i - 10. Let j be q(10). What is j rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-11 - (4 - 6) - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6966 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 4*v + 30. Let p(z) = -z**2 + 2*z - 16. Let c(t) = 5*p(t) + 3*u(t). Does 5 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 4. What is w(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 46*r**2 - 306*r - 123. What are the prime factors of x(27)?\nAnswer: 3, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:29 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 15. Let y be d(-11). Let k be (-33)\/(-4)*(3 + 3\/(-9)). Let b = y + k. Let x(v) = 2*v**2 - 5*v - 4. Determine x(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2876*r**2 + 987 + 687*r**2 + 535 - 1522.\nAnswer: -2189*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320444067?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121502 (base 9) in base 12?\nAnswer: -3650b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 13. Suppose p = -4*d - 0*d. Suppose -3*o - 3*v + 41 = 11, 4*o - 5*v - 4 = d. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21102 divided by -6.\nAnswer: 3517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 + l**3\/6 - 3*l. Let f(c) = -c**2 - 4*c + 4. Let s(p) = -2*b(p) + f(p). Calculate s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqro when four letters picked without replacement from {o: 1, n: 4, q: 2, e: 3, r: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**4 - 3*n**3 + 34*n - 11. Differentiate l(d) with respect to d.\nAnswer: -12*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 18. Let l be n\/(-78)*(-3)\/(-2). Let q(f) = f**2 - 4*f - 11. Let m be q(6). Is m less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -89. Let h = 44 + r. Calculate the highest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggbggbgggjggjgbbr?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 439.\nAnswer: -5\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*n + 155735 = 136*n - 333481. What is the highest common factor of n and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhhm when four letters picked without replacement from jmhhm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1497840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 359 + 7*r - 4*r**4 - 2*r**3 - 364 - 11*r in the form u*r**4 + v + t*r**2 + m*r**3 + p*r and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6459\/15*(-10)\/12. Let f = s - -358. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 2*y**3 + 0*y**3 + (-y**2 + 6*y**2 - 3*y**2)*(y + 2*y + 2 + 0*y).\nAnswer: 5*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/7 + 155\/14. Let z = -14 + u. Which is the third smallest value? (a) z (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836840531 to the power of 1\/2, to the nearest integer?\nAnswer: 28928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 9. Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/27))**(5\/11)\/(c**(-19))**(-50) assuming c is positive.\nAnswer: c**(-282160\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w - 47. Let p be g(9). Suppose 3*a + 1 = 2*y, -7 = 2*y - p*y + 3*a. Solve 2*x = -y*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*x - 6. Suppose 3*y - 3*m - 27 = 0, 2*y = m - 3*m + x. Suppose 0 = -q + y*q. Solve q*i - 2*k = 2*i, -5*k = -i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 4\/9*j**3 - 24*j + 34\/3*j**2 + 58. Factor m(g).\nAnswer: 4*(g - 1)*(g + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*j**3 - 3179113*f**5*j - 36435*f*j**2 - 27*j**3 wrt f?\nAnswer: 20*f**3*j**3 - 63582260*f**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/121 and -2\/165.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a + 3658781 = 975503. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 353678 and 9150.\nAnswer: 26525850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*c - 808*c - 207*c - 31*c in the form k + n*c and give n.\nAnswer: -1207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1150252588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/11, -0.47, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7275 - 7276. Let k(q) = 0 - 5 + 3 - 2*q - 5*q**2. Let m(p) = -41*p**2 - 17*p - 17. Let a(u) = 51*k(u) - 6*m(u). Calculate a(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {d: 1, p: 5, m: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -15. Let d = 0.0423 - -0.3577. Which is the biggest value? (a) l (b) 23 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554595 minus 0?\nAnswer: -1554595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiaf when four letters picked without replacement from irfcaarc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-26) + 4672\/18031\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d + 19*d + 0*d)*(-7*d**2 + d**2 - 9*d**2)*(2 + 1 - 1).\nAnswer: -810*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*a - 118 - 3*a**2 + 64 + 52 + 26*a**3 + 2*a**2 in the form m*a**2 + c + b*a + w*a**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/17, -4\/9, 34, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-1)\/(70\/(-168))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*v**2*w + 2*l*v**2 - 13804*l + 217*v**2*w - 50*w + 2 wrt l.\nAnswer: v**2*w + 2*v**2 - 13804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14490)\/13455)\/((-10)\/(-1105)).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 274784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-44)*4\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22357 + 246?\nAnswer: 225a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32127*d**2 - 2261 - 32127*d**2 - 117*d**4 + 9*d**3 - 3*d**3 - 7*d**3 wrt d.\nAnswer: -468*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + -1)**2 - sqrt(252))*2 - (sqrt(252) + 5*(sqrt(252) + sqrt(252)*1))**2 - (-1*-2*(sqrt(252) + sqrt(252)*-1))**2) + -5 + 3.\nAnswer: -29988 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czcc when four letters picked without replacement from {z: 9, c: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 78378883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4419 + -4355. Let b = 7 + -12. Let q be 6 + (0 - (b - -3)). Calculate the highest common factor of q and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (95 + -45)\/((-80)\/38 + 2). Let g = -1131 + 303. Let s = c - g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/3, 0, -165?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -548*g**2*r + 858*g**2 + 3*g*r - 6*g + 17*r - 2557547 wrt g?\nAnswer: -1096*g*r + 1716*g + 3*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 43*f**5\/20 + 51*f**2\/2 + 2*f. Differentiate v(a) wrt a.\nAnswer: 129*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -102. Suppose -r - h = -4*r. Suppose -506 = -5*u - 56. Calculate the remainder when u is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(0 - (-20)\/(-175)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/12 - b**4\/24 + b**3\/3 + 11*b**2. What is the tens digit of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*b**3 - 142*b**2 - 24653*b + 1 wrt b.\nAnswer: 828*b - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 8866709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 629705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9499\/11 + -4121807\/4774. Calculate the common denominator of q and 63\/124.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3869 + -17076454965.\nAnswer: -17076451096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 u when four letters picked without replacement from zzuuucu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/18)\/(4\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446.999919 - -447. What is n rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 0*o**4 + 0*o**2 + 1\/10*o**5 - 2*o - 117 + 0*o**3 + 1\/105*o**6. Factor d(l).\nAnswer: 2*l**3*(l + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*u = -37, -f = -3*f - 2*u + 38. Let x(c) = c**2 + 3*c. Calculate the remainder when x(-7) is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 27*w - 0*f - 179, 5*w - 5*f + 185 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 7 - 31 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5 + 312*f**4 - 7416*f**3 + 37248*f**2 - 69744*f + 44928 = 0.\nAnswer: 2, 26, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2240490 and 75670?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4*z**2 - 7 + 4.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 + 3*q**2 + 234*q + 459. Calculate o(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (-18 - -23 - 11))*17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5, -5\/2, 1\/4, 2\/3, -0.109, -81.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 1.94. Let d = 36137.9 - 36138. What is the nearest to q in -7, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 11. Let x(q) = q**3 - 3*q**2 + 4*q + 1. Let h be x(2). What is the second derivative of 2*r - 3*r**5 - 5*r**h + r**5 + a*r wrt r?\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31797.97 - 31798. Let j = -1 - -4. What is the third smallest value in k, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0812646223 rounded to six dps?\nAnswer: -0.081265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/5 + 9338*b**2\/5 - 2179022*b - 2180890 = 0.\nAnswer: -1, 2335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l. Let u be k(7). Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -4) + 31848\/708 + -23?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100720188 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 18*h**2 + 12*h - 79. Let o(y) = 2*y**3 - 61*y**2 + 31*y - 49. Let f be o(30). Calculate the smallest common multiple of x(f) and 21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*a + 0)*(5*a + 5*a - 5*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/47)\/((-19605)\/(-2614))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*f - 75*f + 297*f - 73*f - 81*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -77*m**2 + 101*m + 9. Let u(o) = 536*o**2 - 706*o - 66. Let y(l) = 44*p(l) + 6*u(l). What is the second derivative of y(b) wrt b?\nAnswer: -344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*12\/(-14)*(-161)\/69.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2015\/(-31))\/130)\/(3\/492).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(975) + (sqrt(975)*1 - sqrt(975) - sqrt(975)) + sqrt(975))\/(sqrt(96)\/sqrt(2)) + (sqrt(13) + -1)*-1 + 4 + sqrt(468))**2.\nAnswer: 125*sqrt(13)\/2 + 8525\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.26 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1596*o**3 - 1832 - 457 + 365 - 563 - 1532 wrt o?\nAnswer: 4788*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4670.419 to the nearest 10.\nAnswer: -4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-60)*1\/(-6)*-4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Suppose -10 = -z*m + 2. Solve -o = -m - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -3, 25\/4, -2 in increasing order.\nAnswer: -7, -5, -3, -2, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -83 - 86 + 4*c**2 + 171 - 2*c. Determine s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1412, -5688, -12816, -22796, -35628?\nAnswer: -51312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 3*g**2 + 2*g - 1. Let k be t(-4). Let f = 8 + k. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7356820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3480 and -0.5.\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54163418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 471280 and 534232.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10005 - 9979. Put d, 1\/2, -1\/5, 2\/3 in descending order.\nAnswer: d, 2\/3, 1\/2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 24 = 5*m, 8*h - 5*m + 7799 - 7753 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324569, -324567, -324563, -324557?\nAnswer: -324549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -133. Suppose 0 = 4*p + 6 - 18. Which is the third biggest value? (a) t (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1534.16 + 1477. Let n = 50 + p. Let q = n + 7. What is q rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71\/1031 + -5788781\/4124. Let j = -2023 - -633. Let b = g - j. Calculate the common denominator of 23\/8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8455092 + 2252.\nAnswer: -8452840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*f + 6*f + 16 = 0, f = 2*u - 6. Suppose -u*q + 42 + 114 = 0. Suppose 0 = 82*l - q*l - 12. Solve l*h - 5*p = -h + 10, 2*h = -2*p - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -87. Suppose -2*q - 39 = q. Let z = q + w. Solve -4*s - z - 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(4\/(2 + -4)))\/(-1). Solve -5*w = -x*b + 5, 2*w - 3*b = -b - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/6*4\/(-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 272*q**2 - 89*q + 189. Determine w(-91).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123857363 minus 0.04?\nAnswer: -2123857363.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(153) + -5 + sqrt(153) + sqrt(153) - sqrt(153)) + -1*(sqrt(17) + sqrt(119)\/sqrt(7))*-6 + 3)**2*-4.\nAnswer: -22048 - 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19159 and 17227.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*o**3 - 1 - 4*o**3)*(-6 + 2 + 0)*(-2 + 2 - 1).\nAnswer: -4*o**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-5)*(-6 - (4 - 15)). Let m be (-10)\/(3\/(12*1)). Let k = m + y. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:02 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 284251687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-546)\/312*2\/(-7)*(-40)\/(-45)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10000, -3, 0 in ascending order.\nAnswer: -10000, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51384089 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzc when three letters picked without replacement from zpbbcbkbkwcbbbb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 + -23?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -10186?\nAnswer: 10176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 301*x - 302*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (204 - 206)*4*(-1)\/(-2) + 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j + 3*j. Let o = -0.1 + 0.12. Let s = -0.28 - o. Sort s, j, 4\/3 in decreasing order.\nAnswer: 4\/3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2352) + -1 + -5) + (0 + (-1 + sqrt(432) + sqrt(432) - ((sqrt(3) + -1 + sqrt(75) - sqrt(3))**2 + sqrt(3))))*4.\nAnswer: -320 + 188*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -18*q + 3. Give f(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228227982*y**5 + 280049*y - 223 wrt y?\nAnswer: -4564559640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {b: 3, c: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k + 140 = 4*z, 0 = -z - k + 37. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g + 39*g + 2 = 2*y, 3*y + 17 = -g. Is 6 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 22 + 16)*(-3672 + 3*d + 3810 - 2*d) to x + z*d and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**3 - 2*h**4 + 5*h**3)*(-57*h - 64*h + 112*h).\nAnswer: 18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*r + 6 + 6, 3*l - 18 = -4*r. Let j(f) = f**3 + 3*f**2 - 3*f + 4. Calculate the lowest common multiple of 14 and j(l).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502438898 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-5 - -3 - -5) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -23 - 11\/3*x**3 - 9\/2*x**2 + 0*x + 1\/3*x**5 + 0*x**4. Let l(t) be the second derivative of u(t). Differentiate l(f) wrt f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1760\/(-64)*(-4)\/(-5). Is l < -108\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169? (a) -1 (b) -17.9 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369.652 - 0.652. Let y = g + -368.9789. What is y rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, y: 4}. What is prob of sequence ysss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008522 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 95385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -3*z - 6, -2*z - 2*q = -4. Let m be 10\/(-12)*(-2)\/(-10). Do z and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 + 2*y + 4. Let n be g(3). Let m = n + 9. Let r = 56 + -27. Calculate the remainder when r is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*w - 2855 = 2391 + 5824 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 210. Suppose -2 = -3*w + 3*l + 301, -w = -5*l - 85. Calculate the highest common divisor of t and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 3, p: 3, z: 1, q: 5, u: 2}. Give prob of sequence qq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -2, 1, 2 in descending order.\nAnswer: 5, 2, 1, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wopwwswwwwwwokwwssww. Give prob of sequence sp.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-1)*(-28)\/((-22400)\/60))\/9\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 163305846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28432.84 - 28433. Which is the third biggest value? (a) 0.4 (b) j (c) -9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9013282?\nAnswer: 2, 1423, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 39 = y - 4*y, 2*y - 3972*f + 25 = -3973*f for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1466 + 1433. What is the third smallest value in 4\/5, -2, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41167618 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 4 (c) -864 (d) 0.2248 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10231 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 344.9759 + -343.28. What is c rounded to 2 dps?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6 + 26. Let x = 14 - z. Is 1\/x*(-368 + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069405822 rounded to 5 decimal places?\nAnswer: -0.00694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 11. Let x = r + -12. Let p = -3 + 1.8. What is the second biggest value in p, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -879\nAnswer: -263.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - (-42)\/10. Suppose n = -q - q. Is q + (-1*40)\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + 9*b**4)*(-5*b + 3*b + 0 - 1).\nAnswer: -18*b**5 - 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*u + 229 - 229)*(0*u + u + 4*u)*(-3 + 3 - 8*u) in the form h*u**2 + r*u + x + j*u**3 and give j.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46190267609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/126 and 83\/56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-72) + (126\/8)\/3. Suppose 40 = -4*z - l, -i*l - 44 = 4*z - 3*l. Which is smaller: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z - 15*z**3 + 7*z)*(-4 + 3 + 3) + (2 - 1 - 2)*(-4*z**2 + 4*z**2 + z**3) to i*z**2 + b*z + y + x*z**3 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 629 + 1777. Let x = -133 + j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 5. Let p = w + -27. Let l = 0 + 0.1. Which is the third smallest value? (a) -1\/5 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = -15. Suppose -l*n = y - 113, 5*n + 111 = 5*y - 574. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16859*c**5*m**3 - c**3 - 2*c*m**3 - 86*c*m**2 + 66*c*m - 2*m**2 wrt c.\nAnswer: -337180*c**3*m**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -7*w**3\/6 - 9*w**2\/2 + 8*w. Let n be u(-12). Calculate the highest common divisor of n and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611884789 to the power of 1\/4, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 13*g**2 + g + 17. What is the remainder when 43 is divided by c(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/2 - 5*o**3\/6 + 4*o. Let i be 63\/(-6)*(-4)\/3. Let y(z) = -4*z**2 + i*z - z**2 - 12*z**2. Give 11*h(g) + 4*y(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z + 1. Suppose -3*q + 0*q + 2*l = -12, l - 3 = -3*q. Suppose 5*w - q*w = 3. Give k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984315 divided by 211?\nAnswer: -4665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 18*t - 28. Let r be j(16). What are the prime factors of ((-129)\/r)\/((-27)\/396)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -9 - (193 - (262 - -49))?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*h + 10, -h - 108*c - 15 = -110*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 23*g + 5. What is the tens digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 + 10*r**2 + 1 - 26*r**2)*(1 + 9 - 3 + 4 - 2 + 1 + (0 + 1 + 1)*(4 - 2 + 0)).\nAnswer: -154*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 2464\/(-198) - (-24)\/54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:57 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - h)*(2*h - 2*h + 2*h**2) - h**3 + 0*h**3 - h**3 + (-2*h - 5*h + 6*h)*(-2*h**2 - 15*h**2 - 8*h**2) - 4*h**3 + 6*h**3 - h**3.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48.8 and 69108.\nAnswer: 3372470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - ((-2 - 2) + 1). Suppose -p*i = -6*i. Let d = 134\/3 - 45. Is d less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-6534))\/(300\/550)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/26112 and 49\/69632.\nAnswer: 208896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 2. Let w(b) = 2 + 0 - 5 - 7*b. Give 4*k(p) - 3*w(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 840?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - w - 8 = 0, 13371 = 7*r - 8*w + 13367 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*b + 881, 2*b - 5*b = 2*v - 905. Let g = 308 - b. Put 5, 0, g in descending order.\nAnswer: g, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9219 - -10876. Let l = q - 10604. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/66 + 1371\/18. Calculate the greatest common factor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -22?\nAnswer: -52\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b\/(b\/(b**(2\/21)\/b))*b)\/(b\/((b**(-14)*b)\/b)*b**(-8)*b*b) assuming b is positive.\nAnswer: b**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1003 and 1121?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.529453l to millilitres.\nAnswer: 9529.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h = -5*g + 38*h + 7260, 3*g - 2*h - 4369 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9*t + 0 + 2\/9*t**5 - 2\/3*t**3 - 2\/9*t**4 + 10\/9*t**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 5452*x + 16320.\nAnswer: 4*(x - 1360)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 14*z + 9. Let h be a(5). Differentiate -8 - 11 + h - 18 - 21*w with respect to w.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cymotycottyycoytmt. Give prob of picking 3 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let f = -59.98 + 63. Let y = -0.02 + f. Put y, 0.3, h in decreasing order.\nAnswer: y, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - d + 1. Let q(t) = -7*t**2 - 2*t + 12. Give 4*l(o) - q(o).\nAnswer: -o**2 - 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9953 + 9957. Solve 3*l - 29 = 3*z - 53, -i*l = -z + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*w = f - 17, 4*w + 12 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57330.5 rounded to the nearest one hundred?\nAnswer: 57300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 115, 229, 343, 457, 571?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 3446*k. Let l(z) = 2*z**2 + 3446*z. Calculate -2*l(x) - 3*s(x).\nAnswer: 2*x**2 + 3446*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4 + 13, -2*s + m + 43 = 0. What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 11 = -23*g - 4*z, -g = -3*z + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 31802 = -200638. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 - 3190*z**2 - 3391417*z - 1201637892 = 0.\nAnswer: -1092, -1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23802, -23804, -23806, -23808?\nAnswer: -23810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -109*o**5 - 28453*o**4 - 1868214*o**3 - 1060420*o**2 + 55226600*o + 2028000 = 0?\nAnswer: -130, -6, -4\/109, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53359 - 2240975\/42. What is the common denominator of l and 49\/33?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 14356062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -560.559112 + 0.3?\nAnswer: -560.259112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 128?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u - 5. Let d(k) = 15*k - 11. Suppose y = 3*y - 4. Let o = -11 - y. Determine o*h(g) + 6*d(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (132 + (20 - (69 + -14) - -10)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:06 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 28*o - 7. Let g be m(11). What is the highest common factor of g and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-6)*(-17172)\/(-144). Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -40410542?\nAnswer: -40410550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270213913 to the power of 1\/2, to the nearest integer?\nAnswer: 16438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1100)*3*-4)**2 - (1 + ((sqrt(1100) - (-1 + sqrt(1100)))*-4)**2).\nAnswer: -475217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 20*s**2 + 12. Give v(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718 - 61*g + 718 - 653*g + 781*g - 66*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*l = 5, 0 = 2*u - 3*l + 10 + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/18, 4, -0.053 in decreasing order.\nAnswer: 4, 1\/18, -0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 7. Let z(f) = 4*f - 6. Suppose 0*b = -h - 3*b + 3, -5*h + 5*b = -35. Give h*z(k) + 5*l(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28374, -62115, -101224, -145701?\nAnswer: -195546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29711.\nAnswer: 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.45 + 0.45. Let f = -14.993 + -0.007. Let s = x - f. Which is the second biggest value? (a) s (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3376438538?\nAnswer: 2, 11, 153474479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12115 from 2.\nAnswer: -12113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 16) to base 3.\nAnswer: 112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 + 281. Let q = f - -196. What is the remainder when 121 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -498, -1785, -4318, -8517, -14802?\nAnswer: -23593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 + 3*n - 1. What is the units digit of p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 11. Calculate y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272629343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -4, -60, -170, -352, -624, -1004?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-8)*-4*(-9)\/(-27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 3*t**2 + 3*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21128978 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -66*r - 4285. Calculate a(-65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -1147.\nAnswer: -80.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Suppose c + 2*l + 15 = 0, -4*l - 14 = 10. Let t(o) = -2*o**3 + 3*o**2 - 3*o + 2. Calculate c*n(y) - t(y).\nAnswer: 2*y**3 - 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.226 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 - 5*m**2 + 7 + 0 - 7.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 35. Let w(c) = 3*c - 34. Determine 6*w(a) + 5*z(a).\nAnswer: -2*a - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h + 2016 = 2436. Solve 4*p = -3*j + 15 + h, -3*j = 2*p - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v. Let f(l) = -4*l. Suppose -4*q = -0*m + 4*m - 4, 5*m = -q + 1. Suppose 4*s + 18 + 2 = m. Calculate s*y(c) + 6*f(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, 1 j, and 1 t when four letters picked without replacement from llmlvlllqjtllqm?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + y**2 - 5*y**2 + (-2*y**2 + y**2 + 3*y**2)*(-4 - 1 + 3) + (4 + 0 - 1)*(67*y**2 - 3*y - 95*y**2 - 11*y).\nAnswer: -94*y**2 - 42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 108 - 110 + 5*s**4)*(-6 + 1 + 2)*(1479 + s - 1479).\nAnswer: -9*s**5 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.86 and -389271021.\nAnswer: -389271022.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 134\/(-11) + 12\/66. Find the common denominator of 35\/6 and (v\/(-21))\/((-9)\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w + 1172. What is y(34)?\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - 0.4. Let z = 10.8 - 11. Let u = -1.2 - z. Is u > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {w: 4, j: 3, q: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -2*o, 3*o - 25 = 2*z. Let n(t) = -2*t + 9. What are the prime factors of n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84583476 to the nearest integer?\nAnswer: 9197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round -340108125 to the nearest 1000000.\nAnswer: -340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23.6, 269\/6, -0.13, 0.2?\nAnswer: 269\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2\/4 - 259*p\/4 - 3243\/2 = 0.\nAnswer: -23, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 102\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 divided by -47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/12, 0.242?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - (-22 + -4)) + 247848 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y + 6. Let i be (4 - 2) + y - 2. Let r be i + 1 + 3 + -4. Is -1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 4*p - 5*p)*(121 - 121 - 7*p**2) + 2*p - 2*p + p**3 + p.\nAnswer: -27*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. What is the tens digit of (v - 1)*(2 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519932 is divided by 21722.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - -2) - (148\/(-3330) + 1840\/900).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266000 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 - 5*c**2 + c**2)*(64 + 202 + 19) to z + v*c + y*c**2 and give y.\nAnswer: -1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(3 + 10\/(-4)). Let t(a) = a + 2. Let j be t(-2). Are j and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieil when four letters picked without replacement from {q: 1, e: 3, l: 1, r: 5, i: 6, t: 1}.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - 208\/(-48). Suppose -h*f = 2*t - 80, 4*t - t = -4*f + 64. What is the third derivative of 23*m**2 - f*m**2 + 14*m**2 - 24*m**3 wrt m?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5076\/(-423) + (-598)\/(-44) + -2)*2\/(-6)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 0.04 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 12, t: 3}. Give prob of picking 1 o and 1 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 9*w**2 - 16*w + 25. Let z(n) = n**3 + 9*n**2 - 17*n + 24. Let s(d) = -4*t(d) + 5*z(d). Is 9 a factor of s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z + 195*z - 1430 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*c - 0*k - 6, -5*c + 5*k = 45. Let j = c - -15. Solve 6*f - f - j = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfdqfffffqfq. What is prob of sequence rqf?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)\/(i**(-5)*i))\/(i**(-1)\/i**0))\/((i\/(i\/i**0*i*i))**(-1\/10)*i**5\/i**(-1\/4)) assuming i is positive.\nAnswer: i**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.078 in -0.1, -2\/5, 1\/8, 0.1, 0.33, 73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 116 (b) -2\/3 (c) 5 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 147069*m**3 - 8*m**2 + 7*m - 28670952 wrt m.\nAnswer: 441207*m**2 - 16*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from rmqrjrrqmrqqgqmqrrr?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 58. Let n be z(27). Solve 0 = 3*m - 2*l + 6*l - 11, 3 = n*m + 3*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.021535 weeks in minutes?\nAnswer: 20377.0728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 2. Let v be z(8). Let r be 1\/(1 - 76\/78). Let j = r + v. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 11*j - 3. Let q be w(-11). Does 23 divide 80\/1 + 3 + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 3*g**2 - 2*g. Let m be n(2). Suppose 3*v - 4 - 11 = m. Suppose 0*k - v*p = -k - 8, 5*k - p = 32. Solve -k*a = -3*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 - -10010122000?\nAnswer: 10010221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 17*m + 15*m = 12, b + 2*m + 12 = 0. Is -2\/6753 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - v - 7 - 17 = 0, x - 8 = -3*v. Suppose -x*k - 3*y = 2*y - 5, 2*k + 3*y = -1. Suppose m + 6 = k, 2*s - 152 = 3*m. Round s to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y + 3. Let w be 4\/3 + 714444\/123840. Let j = 5\/2064 - w. Find the common denominator of m(-4) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/3*(-216)\/(-900)*(-75)\/30.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5700 and 3872.\nAnswer: 5517600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -2, 21, 2, -5 in ascending order.\nAnswer: -9, -5, -2, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3 + 10*d - 18*d + 10*d. Let f be 3\/1 + (4 - 4). What is a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 2\/7 (c) -156.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2002775*y - 2003016*y - 3133 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/18*3*2. What is the remainder when 53 is divided by (-142)\/h - 26\/65?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssvs when four letters picked without replacement from {v: 3, s: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64620 and 80775.\nAnswer: 323100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + (sqrt(5)*1 - sqrt(5)) + 0)**2 + 1 + 3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 174, 5, 22, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8*(-5 - (3217 - 14)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38192 and 484176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 211.7521l?\nAnswer: 211752.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41985, -4, 445, 5 in descending order.\nAnswer: 41985, 445, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 704*l**2 - 1 + 702*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Suppose -25 = 4*t + 23. What is the units digit of (1\/(-2))\/(c\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253 - -251. Let t(k) = -4*k**3 - 3*k**2 - 3*k + 3. Let u(c) = 2*c - 2 + 2*c**3 + 5*c**2 - 3*c**2 + c**3. What is s*t(y) - 3*u(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*p - 42, 9*p + 17 - 38 = -o. Solve o*v = -113 - 13 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -1 - 350\/(-14). Solve -8*b + 27*b**2 - n*b - 81*b**2 + 1 - 5 = 0 for b.\nAnswer: -1\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*h + 5*z, 627*z - 624*z + 6 = -3*h. Factor -7\/5 + 1\/5*v**h - 13\/5*v - v**2.\nAnswer: (v - 7)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.794 + -1.874. Suppose -3*q + 3 + 0 = 0. Which is the closest to q? (a) 1\/4 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18963921.\nAnswer: 3, 6321307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -452, -1687, -3198, -4985?\n\"Answer: -138*g**2 - 821*g + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b - 39. Let q be m(7). Let c = -110 - q. Which is smaller: c or -5\/34?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-25)\/1))\/((-7)\/10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -63 + 2 - -8*5\/10. Let b = r + 50. Does -7 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 27 + 1)*(-3)\/(-9). Let v(k) = 13*k**3 + 10*k**2 - 13*k + 18. Let t(y) = -8*y**3 - 7*y**2 + 9*y - 12. Let b(a) = w*t(a) + 5*v(a). What is b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5801, 11604, 17407, 23210?\n\"Answer: 5803*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25898947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d + 27*d - 3. Let f(t) = -4*t**2 + 1. Determine f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181848049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -68, 7, 340, -3 in decreasing order.\nAnswer: 340, 7, 0, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-12)\/4)\/6*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d (base 14) in base 7?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2775*m - 3940*m - 3170*m - 2353*m - 4231*m - 4977*m)*(-4 + 5 - 2).\nAnswer: 15896*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4773 in -1\/4, 102, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -32, -42, -52, -62, -72?\n\"Answer: -10*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5 = 1. Let h = a + 3. Suppose -h*j - 10064521 = -2064521. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**3 - 9*s**2 - 6*s**3 + 27*s**2 to f*s**2 + n*s**3 + c + q*s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -22*p + 5*p**2 - 3*p**2 + 10 - 38. Let s(m) = -m**2 + 9*m + 18. Let c be s(9). What is the units digit of v(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -40*h - 33. Determine l(-3).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9*y - 2*y + 10*y - 10. Give j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 3*n - 2*n - 5*n. Let o(r) = 4*r**2. What is l(o(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 1130304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5290 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319901 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 815040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:20 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 110828037.\nAnswer: 110828038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 20*x**3 + x**2 - 5*x - 7. Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2\/11 (c) -20 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-32760)*28)\/(1\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1149560.3.\nAnswer: 3448680.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.6 + 52. Which is the second smallest value? (a) 2 (b) k (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 + -30 + 22 + 8. Which is the second biggest value? (a) m (b) -1\/44 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d**3 + 0*d**4 - 4*d**4 + 0 - 2 - 14*d**3 in the form b*d**3 + g*d + c*d**2 + x + n*d**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - c**3 + 0*c**3 + (532*c + 504*c - 1608*c**3 + 1612*c**3)*(1 - 1 - 1).\nAnswer: -2*c**3 - 1036*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 + 3 + 1. Let a = -5 + 8. Suppose 2*z = 5*b - 23, -4*b + a*b - 1 = z. What is the greatest common factor of d and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 smaller than 917\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 523762279.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -864 in -0.2, 10, 132, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-3) - (8232\/(-36) - 8)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 228 - 25 - 8*h + 50. What are the prime factors of q(-19)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(6\/(-4)) + (-40 - -47))*-3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4435957*h. Let u(x) = 3*x. Determine k(u(r)).\nAnswer: 13307871*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968667?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11872)\/1820)\/53*(-5)\/2.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from jajgaaaajjgajjjaja.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10c (base 13) to base 3\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3031 (b) -1\/14 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343777304 divided by 85944326.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 14, 1\/23 in descending order.\nAnswer: 48, 14, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21082 times 0.4?\nAnswer: -8432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*o**3*u**3 + o**3*u**2 + 41*o**3*u - 2264*o*u**5 wrt u?\nAnswer: -126*o**3 - 135840*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541354.\nAnswer: 2, 11, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/76 and 59\/11704?\nAnswer: 11704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*p - 99*i**2*p - 768895*i**2 + i*p + 39651367*i + p - 3 wrt i.\nAnswer: 12*i*p - 198*p - 1537790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/9788 and 9\/26917.\nAnswer: 107668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2073? (a) 0.4 (b) -2\/121 (c) 9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/3 + 2*s**4 - 62*s**3\/3 - 2*s**2 + 84*s = 0. What is s?\nAnswer: -7, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + f + 3*f)*(-5 + 3 + 3) + (2*f - 4*f + 0*f)*(-4 + 2 + 3) + 1 - f - 1 - 2*f - 142 + 142 - 4*f + 4*f - 2*f to the form l + w*f and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 + 5*n + 4. Let u be p(-4). Suppose -3*y + 2*f + 47 = u, y - 2*f = 2*f - 1. Calculate the remainder when 36 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/27 in -2\/11, -29, -4\/5, -4, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.9 (b) -5 (c) -2\/13 (d) -40\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.781 rounded to zero dps?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12 = -8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:50 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117961?\nAnswer: 179, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + -3 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-45) - (-1 - -1). Put -1\/6, -0.4, m, 0.3 in decreasing order.\nAnswer: 0.3, -1\/6, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) -2\/3 (b) -5 (c) 79\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857496, -857497, -857498, -857499, -857500, -857501?\nAnswer: -857502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1987181314 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 3.6366.\nAnswer: 1.6366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 105600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7081 is divided by 142.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 7\/3 + 5356\/618?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*n - 9, -2*d + 0*d = 4*n - 6. Let c = 9 + -10. Let y = -10 - -6. What is the nearest to d in c, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*q = -1352*q - 554 - 691 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/27)\/((w*w\/(w*w**5)*w*w)\/w*w)*(w\/(w**(-1\/3)\/w))\/(w\/(w\/w**(-2\/55))))**(8\/3) assuming w is positive.\nAnswer: w**(52352\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -47729 less than -47728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 253301.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**4 + 0 + 9\/40*c**6 + 0*c + 0*c**3 + 8\/15*c**5 - 108*c**2. Find the third derivative of g(l) wrt l.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-51)\/34)\/((-1)\/2). Is (n\/6)\/((-2)\/(-604)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5662240 and 3483.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11462 and 6773?\nAnswer: 149006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253337939 to the nearest integer?\nAnswer: 15917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/105)\/((-2)\/77) - -8. Solve -4*s - 5*a - 9 = 26, 2*s = -3*a - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 1 - y - 5*y + (-5 + 3 + 1)*(-3 + y + 3) - 4*y - 4*y + 7*y.\nAnswer: -6*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 255 + -258. Let q(r) = -2*r**2 - 26*r + 23. Let m be q(-14). Which is the closest to -0.2? (a) g (b) m (c) 6\/11 (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 6 - 6)*(-2*p**4 - 207 + 93327*p - 93327*p) in the form o*p**3 + j*p**4 + y + v*p**2 + f*p and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 92 = 9*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:57 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -62026 * -0.31\nAnswer: 19228.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:02 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11))**(-30)\/((n*n\/n**9)\/(n\/((n\/(n*n*n*n**(-1\/3)))\/n)*n*n)) assuming n is positive.\nAnswer: n**(238\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24565 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21120200110 (base 3) to base 6\nAnswer: 3110450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*j - 3*j. Let i be 3\/(-6 + j) - -2. Let g = 1316\/255 + -26\/5. Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 2*p**3 + 121 - 121.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14358438674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9891061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118506.\nAnswer: 2, 3, 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 - 14. Give i(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/760122 and 71\/168916.\nAnswer: 1520244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(-4 + 8). Suppose 2*y - m*l - 4 = 0, -4*y - l + 6*l = -7. Let k be -1*(-5)\/1*-1. Sort k, y, 0 in ascending order.\nAnswer: k, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-12))\/(-7)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 7}. What is prob of picking 3 j and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1116 = 16*j - 19*j. What are the prime factors of j?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 1 (c) 6\/61 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/12 + j**3 + 3*j**2 + 1366*j + 2. Suppose -u + 5*s = -3*u - 9, 5*s = -25. List the prime factors of k(u).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182674 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 41*f**4\/12 - f**2\/2 + 4*f. Let j be l(1). What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - -12. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 58.3009ug?\nAnswer: 0.0000000583009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-1 + (3*sqrt(1088)*1)**2).\nAnswer: 146865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -5*y - 5, 12 = 4*d + 5*y. Suppose 4*x = -4*a + 24, -5*a + 2*x = -d*x - 80. Calculate the highest common divisor of a and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13399324427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 123\/(-2)*12\/9. Let t be -3 + h*(-4)\/56. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212010221022 (base 3) to base 6.\nAnswer: -13433055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-7)*2\/20.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 12*q = 35. Let d be (1 - (-1)\/(-4))\/3. Let w = -31\/7 - -33\/7. What is the closest to -7 in d, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 4*t**2 - t + 1. Suppose -2*p + 3*g = -7*p - 27, 0 = 3*p + 2*g + 17. Let h be n(p). Let o = h + 20. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 5*n + 0*n)*(0*n + 2*n - n) + (-2*n + 3*n + 3*n)*(11 - 20 + 13 - 7*n).\nAnswer: -31*n**2 + 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 960790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10423, -21033, -31827, -42805, -53967?\nAnswer: -65313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/55 - 3360\/5236. What is the third smallest value in 1\/5, 3, 0, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m + 6 = 0. Let k be m\/4 + 90\/(-21) + 3. Is k less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/((-21)\/3))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + 2.2. Let w = -21.15 + s. Let d = w - -19. What is the nearest to d in 0, 1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/(((h\/h**5)\/h)\/h))\/(((h*h\/(h\/(h**(3\/5)*h))*h*h)\/h)\/(h\/(h*h**(1\/2)*h*h)))*(h**(2\/23)\/(h*h\/((h**9*h)\/h)))**(13\/3) assuming h is positive.\nAnswer: h**(21811\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Suppose x = c - 1, 2 = 5*c - 2*x - h. Sort -1, c, -3 in descending order.\nAnswer: c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 70?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 16. Suppose a*h - 108 = 2*k, -2*k - 3*k = -h + 45. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.94 and -2338 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 26*v. Let o(r) = 7*r - 6. Calculate l(o(g)).\nAnswer: 182*g - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -59. Let m(p) = -2*p**2 - 17*p + 9. Let f be m(q). Solve -3*r - 11 = -5*u, r - 4*u - u + f = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90564686.\nAnswer: 2, 45282343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -26 - 34. Let k be 150\/20*12\/5. What is the greatest common divisor of t and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -23*f**7\/2 - 305*f**3\/6 + f**2 - 375*f - 2. Find the second derivative of z(d) wrt d.\nAnswer: -9660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3388809318869 + 3.\nAnswer: 2.6611190681131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514127 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*c**4 - 13*c**4 - 14*c**4)*(-1 + 4 - 2) to h*c**2 + b*c**4 + w*c**3 + a + m*c and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10192)\/22932 - ((-122)\/(-9) - -2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/69*3*(-3)\/3. Let w(c) = -27*c + 10. Calculate the remainder when 317 is divided by w(v).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5.2. Let f be (-4)\/3*(-9)\/(-6). Let p be (2\/(-5))\/(18\/15 + f). Which is the second biggest value? (a) -1\/2 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21850 divided by -190.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -7*k**5\/2 + k**4 + 91*k**3\/2 + 29*k**2 - 12*k = 0.\nAnswer: -3, -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 5 (c) 28\/5 (d) -5 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 64*v + 63. Let x be g(-15). Sort 5, -1, 2, x in descending order.\nAnswer: 5, x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1423\nAnswer: -1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - -3) + (1 - -6). Let s be 56\/(-14)*(-3)\/x. What is the closest to -1\/4 in 1\/3, 0.5, s, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 36*s - 155, -2*s = -3*z - 3*s - 93 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2) - (-275)\/(-22). Is 1284\/8*(-40)\/o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 61?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 857\/207 - 37\/9. Is v greater than or equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 + 16*j + 26. Suppose -2*c + 12 = 2*q, -20*q = 5*c - 16*q - 25. Let i(m) = m**2 - m + 2. Let u(x) = c*a(x) - 4*i(x). Factor u(d).\nAnswer: 2*(d + 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2)*-2 + (-1*sqrt(13))**2*5 - (3 + 3 + sqrt(52)).\nAnswer: -4*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*b - 56 = 0, -2*u + 7*b = 10*b - 4. Factor 6*k**3 - 3*k + 23 + u*k - 25*k**2 + 34*k - 14*k**2 + 7.\nAnswer: 3*(k - 5)*(k - 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 3*g. Let m be (-5)\/((-175)\/42)*30\/(-9). Let i(x) = 7*x**2 + 4*x. Calculate m*t(n) + 3*i(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**3 + 3. Give r(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.015 - -39.015. Let b(j) = -j**3 + 5*j**2 + 19*j + 1. Let t be b(0). What is the nearest to -1\/2 in 0.4, d, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -65, 4\/5, -4\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-2) + 15)*(-12)\/(-9). Let r be (2\/g)\/(5\/20). Which is the closest to r? (a) 0 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2200700 - 13862*m**2 - 2200700 + (m - 2*m + 2*m)*(2*m + 0*m + 0*m) to g*m**2 + c*m + d and give g.\nAnswer: -13860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 12*u**4 - 9*u**4 + 45*u - u**3 - u**4 as z*u**3 + a*u + d + i*u**4 + c*u**2 and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {z: 5, d: 3, x: 4, v: 3, l: 1, i: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssts?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 10*k + 17. Let b be r(9). Suppose 8*f = -b*f + 7888. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 - 5 = 0. Suppose d = u - 1. Suppose 5*h + 2 + 3 = 0. Let n(o) = -2*o - 4. Let t(g) = -g**2 - g - 1. Give h*n(k) + u*t(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 10) to base 7\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 7*s + 299. Let v = 4 - 1. Suppose 4*k = v*x - 148 - 56, -4*k + 272 = 4*x. What is the remainder when x is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536)*5 + sqrt(1536))\/(sqrt(648) + sqrt(648)*-6 - sqrt(8)).\nAnswer: -24*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -216*m**3 + 563*m**3 - 80 - 193*m**3 wrt m.\nAnswer: 462*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/8 - 291*j**2\/8 + 335*j - 750 = 0. Calculate j.\nAnswer: -300, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055484089?\nAnswer: 11, 37, 431, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(1331).\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 2927.\nAnswer: 2927.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 185\/3. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t + 2 = 0. Let h = 0.199 - 20.999. Let n = 21 + h. Which is the closest to t? (a) -2 (b) n (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 8. Let m be n(6). Solve -3*d = -2*j - 0*j + m, -3*j + 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1530 - 56*x**2 + 4184 - 201*x**2 - 1331 - 1323.\nAnswer: -257*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*o + 91*o + 14 = -2*s, 0 = 4*o + s + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3173116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52613, 105213, 157811, 210407, 263001?\n\"Answer: -z**2 + 52603*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 90 = 6*v. What is the remainder when 27 is divided by (4\/v)\/((-2)\/(-80))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391235 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-26) - (-13376)\/(-247). Let n = m - -64. Find the third derivative of -n*t**4 - 35*t**2 - 3*t**4 - 10*t**4 wrt t.\nAnswer: -552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1\/12812345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:32 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by -97597.\nAnswer: -118\/97597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2179 and 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 12*k**2 + 93*k + 3. Let b(r) = 2*r**3 + 12*r**2 - 93*r - 4. Let x(i) = 3*b(i) + 4*p(i). What is the second derivative of x(q) wrt q?\nAnswer: -12*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:39 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13417*x**5 + 88*x**4 - 2712403*x**2.\nAnswer: 805020*x**2 + 2112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 384\/7, 1 in decreasing order.\nAnswer: 384\/7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - 8. Let d = 101 + b. Suppose -3*k - g = -4*k + d, -132 = -3*k + 5*g. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -v - v + 5, 0 = q - 3*v + 8. Let f(d) = -9*d**3 - 1. Let m be f(q). What is the tens digit of (-8)\/40 + (-142)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14833*m - 6460 = -14663*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10214 - -4?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -573*v**5\/5 - 1573*v**2\/2 - 326. Find the second derivative of c(o) wrt o.\nAnswer: -6876*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -9*u**2\/2 - 2*u - 64. Let r(m) = -m. Give g(r(o)).\nAnswer: 9*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0. Suppose 4*f + 2*f - 54 = 0. Suppose u*g - f = -0*g. Solve g*p - 9 = 0, -4*p + 4 = -n - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/18*9\/(-2). Let v be 0\/(4 - (6 + o)). Suppose x + 0*x - 16 = v. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.85 + -76.05. Let q = -10712 + 10786. Let p = q + g. Sort -5, -1\/6, p, -11.\nAnswer: -11, -5, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 2, h: 5, c: 2, i: 2, d: 2}. What is prob of sequence dtd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2)*(-149)\/3. Suppose 62 = y - 2*f, 2*y + 0*y + f - d = 0. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Suppose 2*d - h*d + 30 = 0. Suppose d*g - 5*g = 220. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 22. Solve v - 5 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047197 rounded to 4 dps?\nAnswer: -0.0472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = -z. Suppose -7 = x + 4*j + 3, z*j - 40 = -5*x. Let p be 16*-30*x\/(-3). What is p rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/2702 - 58111\/16212. Let f = -859309\/72 + 11933. What is the common denominator of f and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13838782*h**5 + 237825*h - 3 wrt h?\nAnswer: -276775640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b3ce0 (base 15) in base 14?\nAnswer: -daa4d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*n + 2*i, 4*n = 5*i - 2 + 6. Find the common denominator of (n\/24)\/((-3)\/(-103)) and 103\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t - 2*t + t**2 - 3*t**2 + t + 2. Let v be g(6). Round v to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -0.4 (c) -5 (d) -1 (e) 150\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*s**(-2\/41)\/s)\/(s*s**(-3\/5))**(25\/3) assuming s is positive.\nAnswer: s**(-1535\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bebd - -1?\nAnswer: bebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4443869 to the nearest integer?\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 541018618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36572 = w - 42*w. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 519000 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 27, -54, -187, -384?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 6:45 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**3\/2 + 9*a. Let s(p) = -p**2. What is l(s(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20ba53 - 3c?\nAnswer: -20ba8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 5. Suppose -4*x = -5*x + 4. What is the remainder when n(0) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -623\/47382 or 0?\nAnswer: -623\/47382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -2 - (0 + 2). Suppose 4*q + 19 = 5*v + 5*q, 4*v - 20 = 4*q. Let d(u) = u**3 - 5*u + 3. Let o(r) = r**3 - 4*r + 2. Give i*d(s) + v*o(s).\nAnswer: s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/9 - 56*c**4\/3 + 178*c**3\/3 + 1028*c**2\/9 - 464*c\/3 = 0.\nAnswer: -87, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 4*d + 3. Let v be j(0). Suppose -x + v*i = 3*x - 2890, -1432 = -2*x - 5*i. Suppose 9*z - x = 2*z. What are the prime factors of z?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(3 + 0 + 0)*(-4*h**2 + 2*h**2 + 0*h**2 + (-4*h + 63 - 63)*(h - h + h)) to x*h**2 + i*h + o and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:07 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214 - -216. Let h(o) = -3*o + 4 + 3*o**n + 7*o**2 - 13*o**2. What is h(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 34784?\nAnswer: 417408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:11 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6881, 6820, 6749, 6662, 6553, 6416, 6245, 6034?\nAnswer: 5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 24. Let f(q) = k*q - 26*q + q**2. Let m(g) = 2*g. What is m(f(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m + 80*m - 115*m.\nAnswer: -71*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6293 - 6328.264. Let s = -0.264 - o. Which is greater: s or -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50159 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(25)\/sqrt(320) + sqrt(5) + (4*sqrt(245))**2).\nAnswer: -15688 - 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13321*d + 13292*d + 2287433 = 0. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 870\/(-2465)*(-119)\/77\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:35 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c. Solve -5*b = -4*j + 31, b + c*b + 4*j - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g + 10*g + 13. Solve -3 = 5*a + 3*n - g, 0 = -a - 5*n - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9621447?\nAnswer: 3, 11, 291559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -257398.7 rounded to the nearest one hundred?\nAnswer: -257400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z - 2*z)*(-z + z - 2*z + (2 - 2 - 3*z)*(-10 - 2 - 7)).\nAnswer: -275*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 1. Suppose k + 3*k = 4. Determine i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 1 x when three letters picked without replacement from tacucxcaxacu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -5, 4 in ascending order.\nAnswer: -13, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/11, 2\/13, 0.1 in decreasing order.\nAnswer: 2\/13, 0.1, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**3 + 177*x**2 - 17*x. Let z(t) = -t**3 + 22*t**2 - 2*t. Calculate 6*a(h) - 51*z(h).\nAnswer: 9*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away -7435.6173?\nAnswer: 7435.5673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/4 - 2281345*a\/2 - 1040907001805\/4.\nAnswer: -5*(a + 456269)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 12. Let n be d(3). Which is smaller: -3\/41 or n?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 326, 48, 0?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 12*h**2 - 6. Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 193 = 8*b - 2*p, 905 = 5*b + 5*p. Let d be (32 - (-8)\/(12\/3)) + 3. Calculate the highest common divisor of b and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-36))\/(432\/(-1458)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15328971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -92. What is the greatest common divisor of w and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1394 - -1607.3. Let b = 197 - v. Round b to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*6*-1*1. Let l(u) = -u**2 - 8*u - 2. What is the units digit of l(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11081, -22347, -33789, -45401, -57177?\nAnswer: -69111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuy. What is prob of sequence uy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let b(t) = -t**2 + 4*t + 1. Let g be b(o). Solve p = -0 + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from essqeppi. What is prob of sequence ses?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58\/(-87) + 122\/3. Let x(u) = 3*u**2 + 3*u - 3. Let k be x(-3). Solve k = h + 2*j, 3*h - 8*h - 3*j + c = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -74*n - 242 - 1671 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = -831. Calculate the remainder when g is divided by ((-3)\/(-2))\/(69\/920).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 21*i = -70. Let g(o) be the second derivative of o**4\/4 - o**2\/2 - 2*o. Let c(s) = 5*s**2 - 2. Calculate i*c(w) + 8*g(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3 + -9.6. Let i = -23.9 - p. Are -2 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 24948636742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.031 + -0.0310027. Round i to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*t + 17 = 2*t, -2*x + t = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 + 71 - 92)*(0*z**2 + z**2 + 0*z**2).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20668584, 20668581, 20668564, 20668527, 20668464?\n\"Answer: -k**3 - k**2 + 7*k + 20668579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -134240 + -5?\nAnswer: -134245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/3 - 215\/15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/161 + (-43)\/35)*660\/24.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/60 and -67\/3950.\nAnswer: 23700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (6 - (-16 - (-19 + -15))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390073 is divided by 578.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77024 (base 10) to base 4.\nAnswer: -102303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.809 - 0.511. Let m = 2.28 - z. Let b = 63 - m. Round b to zero decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 4*r**2 - 2*r**2)*(-3*r**2 + 4*r**2 + r**2) + (12*r**3 - 80*r**3 - 4*r**3)*(0*r - 10*r - 5*r).\nAnswer: 1084*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 2*c**3 - 4*c**3)*(-50 + 29 - 13) + (6 - 1 - 3)*(0*c**2 + 0*c**2 + 2*c**3) + 4 - 2*c**3 - 4 - 6*c**3 - 3*c**3 + 2*c**3.\nAnswer: 63*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3801, -15180, -34143, -60690?\n\"Answer: -3792*v**2 - 3*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11501*v - 11467*v - 748 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 25. Find the second derivative of 1 + z**2 - 11 - m - 5*z**3 - 2 - z wrt z.\nAnswer: -30*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. List the prime factors of -2 + (x - 9*-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 - -118?\nAnswer: 15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 20218 = -60200. List the prime factors of r.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26741.8 - 633632717\nAnswer: -633605975.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*o = 92, -2*o + 84 = -2*f - 5*o. Let x = f - -48. What is the greatest common factor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17611.\nAnswer: 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14758 is divided by 75?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -999269 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 6*n. Let u(s) = 639*s**2. Give h(u(i)).\nAnswer: 816642*i**4 - 3834*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 16*h - 6*h + 7 + 8*h - 10 to n*h + i and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2231 (base 4) to base 8\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 102.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + 14\/(-10). Let t = 241 - 245. Sort t, j, -23, -3.\nAnswer: -23, t, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 11*g - 10. Let v be y(-10). Suppose 3*t - 5*t + 10 = v. Let m = 4 - t. Sort m, 2, 4.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415587527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -183, -268, -351, -432?\n\"Answer: a**2 - 88*a - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -13 - (14 - (9 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 38*f - 2461. Determine o(65).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 1. Let k(x) = -3*x**2 - 3*x. Let t(c) = -c**2 - c. Let n(v) = k(v) - 4*t(v). Give -2*n(z) + w(z).\nAnswer: -2*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3220266 - 4?\nAnswer: -3220271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 16*i - 8*i - 10*i - 2 - 2 + 2*i**4 in the form f*i + l + d*i**4 + c*i**3 + b*i**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3\/10))\/((c\/(c*c**(-3)*c))\/c)*c**(-1\/7)*c**(-2))\/(((c\/(c**9*c))\/((c**(-2\/19)\/c)\/c))\/(c*c\/(c\/c**(-1)))**27) assuming c is positive.\nAnswer: c**(6719\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*r - 1\/2*r**3 - 1\/4 + 1\/4*r**4 + 0*r**2.\nAnswer: (r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38533 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 8*q + 2. Let a be i(-10). Is (-2)\/(-8) + a\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-48)*-15 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(2055\/274)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + 8*d = -6*d - 336 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + (4 - 9 - -5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**5\/12 - 299*t**4\/12 + 40*t**3 - 794*t**2. Factor f(p).\nAnswer: -(p + 120)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14347\/1243 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 11*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19633863 to the power of 1\/2, to the nearest integer?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 11*k + 82. Give h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -3*f + c, f + 2*c - 300 = -2*f. Suppose 0*i - 2*i = w - f, 4*w = -2*i + 438. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.5 - 24.5. Let k = 0.3 - 0.2. Which is the closest to i? (a) 3 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 35*r + 64204 = 15316. List the prime factors of r.\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z - 6*z - 2 + 2*z)*(2 - 2 + 1).\nAnswer: 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-6 + 2244\/376)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k**2 + 23*k**2 + 27*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22356187 (base 9) to base 8.\nAnswer: 51272252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -896, -1505, -2212, -3011?\nAnswer: -3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*f - 0*f - 65 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 162002.\nAnswer: -4860.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-111)\/(-21) - 1)*126\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7933 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d - 26*d + 38 = -m + 29*d, -4*m - 2*d - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:34 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*sqrt(468)*1 + 5 + (sqrt(468) - ((2*sqrt(468) - sqrt(468))*2)**2 - sqrt(468)) + ((1*sqrt(468))**2 - sqrt(468) - sqrt(468))*5 + -1.\nAnswer: -66*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 28, 57, 98, 151, 216?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 60*g**2 - 5*g - 6. Let v = 5596 - 5538. What is the remainder when y(3) is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from feeefeffeeffe?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41348 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 641.6 - 642. Which is the fourth biggest value? (a) 5 (b) w (c) -3 (d) 678\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 155 - 120*m + 52*m + 67*m.\nAnswer: -m + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -0.0877571?\nAnswer: -8.9122429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115.3 + 115. Let u = -1.4 - -1.3. Which is the closest to u? (a) 3\/7 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 713\/69 - 2\/6. Which is the smallest value? (a) 12 (b) 2\/5 (c) s (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 39 = 3*p - 5*j, 25 = 5*p + 5*j. Suppose g - 5*q + 4 = 0, -4*q = -2*g - p*q + 5. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.09 (b) -0.1514 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23940 + 42681. List the prime factors of m.\nAnswer: 3, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 5. Let p be u(-5). Let y(q) = -2*q - 2 + p - 3. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 8:36 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 162 = -3*f. Let c be ((-1024)\/6 + 4)*f. Round c to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -64 = -4*z - 4*t, -z - t + 34 = -6*t. Suppose 0 = -z*b + 22*b. Solve -15 = m*h, b = -3*q - 2*h + 6*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3, -4, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7084\/(-3220))\/(33\/18).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 10:40 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33017 + -26312. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) 0.1 (c) 1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 5*k - 2*k)*(2 + 0 + 0) - 2*k + 2*k + 3*k + 5 - 5 + k - 288*k + 280*k - 530*k - 361*k to j*k + i and give j.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 627*u**2 - 5*u - 351. Is q(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5702456 divided by 1425614\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + 2 - (-1)\/1. Let a = 451 - 441. Suppose -3*w + 4*p = -14, a = 3*w - 5*p + 3*p. Solve -w*q = -6*q - u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.81. Let w = 16.99 - n. Let j = w + -16.999997. What is j rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -94, -128, -142, -130, -86, -4?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11125043 or -100125380\/9?\nAnswer: -11125043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 1516 - 2985 + 1469.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*j = 12, 0 = -0*m - 2*m - 4*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (19 + -21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and 0.01438 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-4416)\/224) + 1\/((-14)\/(-564))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12328*q + 24663*q - 12339*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665975458?\nAnswer: 2, 8317, 40037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**4\/3 + 8*y**2. Calculate v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*u + 38704 - 37164 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 929*n**5 - 26*n**3 + 7964*n - 2?\nAnswer: 18580*n**3 - 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 101175228*o + 174101613 wrt o?\nAnswer: 101175228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 2\/39 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 1\/27 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 853 - 81. Suppose 7*f = 3*f - b. Let w = f - -272. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 5*w**2 + 2*w + 6*w**2 + 2 + 1. Determine n(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 502 minutes after 8:59 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 42 - 15 = 0. Let h(q) = -3*q - x*q - 6*q + 5*q. Let f(t) = 0*t**2 + 5*t**2 - 2*t**2. Give f(h(m)).\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 - 159256*t**3 + 11604944*t**2 - 22732136*t + 11286444 = 0. What is t?\nAnswer: 1, 71, 39741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 41 + (2365 - 2363) - 73?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -67 + 3. Let j = -44257\/1371 + -24\/457. Let b = j - d. What is the closest to 2\/13 in 4, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbccccccccccc. Give prob of picking 1 c and 1 b.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 + 7*h**2 - 7*h - 7. Let t(x) be the third derivative of -x**6\/40 - x**5\/10 + x**4\/4 + x**3 + 4*x**2. Give -6*a(b) - 7*t(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. Let t be 0 + z - 0\/1. Let u = 1 + -4. Put t, -1\/7, u in descending order.\nAnswer: -1\/7, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*p + 380*p + 177 - 6372. Calculate the highest common factor of 955 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5829 and -145707\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -36 (b) -0.1403 (c) 2\/11 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l - 4 = 4*v, 2*v + 32 = -4*l. Let o be ((-42)\/l)\/7*5. Solve 6*d - o = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67437 and 4779.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1352 < -6753\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k. Let a(z) = 2596594*z + 2. Calculate a(o(w)).\nAnswer: 12982970*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -23. Let i be (-3)\/((-18)\/(-38))*-3. Suppose -2*q - 3*a - i = 0, 3*a - 6 = 5*q - 2*q. Put q, 1, z in descending order.\nAnswer: 1, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4014*s**3 + 4037*s**3 - 5 - 8068*s**3 - 3*s + 14*s**2 to the form y*s**3 + v*s**2 + p*s + b and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from rrrrrroorrrorrrrrrrr?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001101100011 (base 2) in base 11?\nAnswer: 76817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/4 - 16*x**3 + 384*x**2 + 4*x - 115. Determine s so that j(s) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 2, -1.\nAnswer: -170, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miaidmidedamadrmd. Give prob of sequence ime.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t + 4. Suppose -2*c + 20 = -4. Calculate the remainder when r(3) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7073*y**3 + 6*y + 133*y**2 - 7072*y**3 - 9*y as f*y + p*y**2 + k + s*y**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15989652 divided by -36\nAnswer: -444157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 - -242. Let l = 76 - a. Solve -2*m = -l - 3, n + m - 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 + 33815.\nAnswer: 33815.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1248*q**4 - 645*q**2 + 6*q - 97154 wrt q?\nAnswer: -14976*q**2 - 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 312102220020?\nAnswer: -312102220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n + 161. Let x(w) = -48*w + 2607. Calculate -33*f(b) + 2*x(b).\nAnswer: 3*b - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2170 = 70*d - 80*d. Let m = 447 + d. Is m bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-155)\/10)\/((-2)\/44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293*g**3 - 2*g - 91*g**2 + 149*g**3 - 2 - 1 + 142*g**3 + 4 to q*g + v*g**3 + x*g**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -73, 0.1, 0.5 in descending order.\nAnswer: 4, 0.5, 0.1, -0.4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.325, -4010, 42?\nAnswer: 0.325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Calculate the smallest common multiple of 7 and 12\/(6 - v) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 n, and 1 t when four letters picked without replacement from {t: 2, g: 2, e: 1, p: 1, n: 6, d: 7}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4096 and 4672?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/42*(2 - 5). Let k(z) = -5*z**3 + z**2 + 3*z. Let x(l) = -4*l**3 + 2*l. Let g(f) = 3*k(f) - 4*x(f). Let i be g(n). Solve -i*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:26 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 16) + (126 - 100).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 1. Let n be b(0). Sort -2\/7, n, -0.5, 4.\nAnswer: n, -0.5, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524979 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 186 = -543. Let u = 59 - x. Calculate the highest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 60*h**7\/7 + 145*h**3\/3 + 80. What is the third derivative of v(x) wrt x?\nAnswer: 7200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535845?\nAnswer: 5, 13, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 10487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28712*w**2 - 28709*w**2 + 86116*w**2 - 28695*w**2 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/212 and 39\/28.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -997 + 338. Let n = u - -657. Which is the nearest to -1? (a) 2 (b) 7 (c) n (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*o**3 - 187*o**3 - 4*o**3.\nAnswer: -359*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2695 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 364888 divided by -2512\nAnswer: -45611\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:40 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2803269390 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4a47fb (base 16) to base 6\nAnswer: 252201243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t + 20 - 13 - 7 as y + x*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1)*((-359)\/15 + 24)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2469 + 2470. What is the smallest value in 60, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5348252 (base 10) in base 8?\nAnswer: -24315634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 118*x**3 - 3*x**2 + 8*x - 20. Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 + 2462*y**3 - 50048*y**2 - 9848*y + 200160 = 0.\nAnswer: -1251, -2, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11702410 (base 9) to base 11\nAnswer: -3263767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1270674 divided by 211779\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.087 * -0.7.\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 39*l**3 + 1002. Let b(q) = -23*q**2. Calculate n(b(u)).\nAnswer: 61893*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 116*z - 84*z - 56*z)*(-2 + 3 - 2)*(2*z + 0 + 0).\nAnswer: 48*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*m - 21686093 + 21686092, -4*c = -11*m + 26 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 357*w**2 + 187*w - 48. Is j(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-1)\/(-1))*1. Let a = -46.56 - -46. Let r = 0.44 - a. Is r at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 37*x**2 - 110*x. Determine d(-21).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 2, s: 6, q: 2, v: 5}. Give prob of sequence tst.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g - 93 = -36*g. Let t(h) = -19*h - 36. Let d be t(g). What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.103 + 0.107. Let h = 0.033 - f. Let u = h - -0.031. What is the closest to u in -4, 4\/7, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:52 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -2 (c) -67 (d) -0.1 (e) -4\/3 (f) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:39 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.2, -3\/5, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 5. Let a(k) = -k**2 + k + 1. Let n(d) be the first derivative of -3 - 5\/2*d**2 - 5*d + 4\/3*d**3. Determine r*n(h) + 5*a(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, -13, -68, -175, -352, -617?\n\"Answer: -3*l**3 + l**2 - 3*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -97196 divided by -188\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 518 and 666?\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -6\/11, -2\/33, -1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 16*j**2 + 17*j - 29. Let d be t(15). Let m be d\/1 + (-144)\/(-8). Let v = -13 + m. Which is bigger: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/6)\/70)\/(4\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1407874 and 1407865 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26456181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*a**2 + 79*a**2 - 38*a**2)*(-42 + 39*a**2 + 42) - 9*a + 9*a - 2*a**4 to r + u*a**4 + i*a + s*a**3 + c*a**2 and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 4*p + 5. Let j be a(-4). Suppose j = 2*k - k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 10. Calculate q(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1247, -18, -0.16 in ascending order.\nAnswer: -18, -0.16, 2\/1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3668308, -3668307, -3668306, -3668305?\n\"Answer: k - 3668309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 82 - 1066. Suppose -325*b = -g*b. Let 0*f**3 - f**2 + b*f + 1\/2 + 1\/2*f**4 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4383.3938578 - 4383.4. Round u to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.008 - -2.092. Let n = -1.9 - x. Sort 2\/7, n, 4.\nAnswer: n, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -34, 39, -18\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 3. Let d be q(5). Does 9 divide (-258)\/(-4) + d\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 5. Suppose 24*p - 26*p - 140 = -6*p. What is the remainder when p is divided by s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2976 and 82848?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - ((-29 - -8) + 44 + 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*u = -2012*u + 33840. Let h = 93 + -60. Calculate the remainder when h is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 677646.5 tonnes?\nAnswer: 677646500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 223 - 3 + 52. Solve -f*m - 165 + 181 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2012 + -2007. Which is the closest to 5? (a) l (b) 3 (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2. Let r(x) = -458*x - 9. Determine c(r(q)).\nAnswer: -629292*q**2 - 24732*q - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8778)\/((-30088)\/631848)?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 28 + 10. Suppose 2*h + m*x = 129, 5*x + 15 - 150 = -2*h. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = l + 34. Is l >= -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 + 4*o**2 + 3*o + 4. Let p(b) = -5*b**3 + 9*b**2 + 7*b + 9. Determine 3*p(x) - 7*u(x).\nAnswer: 6*x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 (base 11) in base 8?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*z)*(-57 - 70 + 55)*(0 + 5 - 2).\nAnswer: -1512*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95695726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 6*v = -5*y + 4, -2 = v + 5*y. Solve v*d - 2 = -14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2 - 2 + 4*x**2 - 3*x**2. Let d = 0 - -22. What is the smallest common multiple of p(3) and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -4, 41\/47, -3\/2.\nAnswer: -4, -3\/2, -1, 41\/47, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1662752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 1 + 2 + 24\/(-36). Let v(z) = -z + 3. Let y be v(0). Which is the closest to g? (a) y (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - x - 1269 = 185, 2*x = -n + 1457. Suppose w - n = -4*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95116, -187705, -280292, -372877, -465460, -558041?\nAnswer: -650620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.62 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 15 = 4*r. Let y(c) = c + 17. Let s be y(-17). Suppose -2*d - r*q + 9 = s, -d - 2*d - 2*q = -21. Calculate the remainder when 44 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46\/13 - 697\/130. Calculate the common denominator of l and -121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((39\/((-468)\/16))\/(-2))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164887.767 rounded to the nearest 100?\nAnswer: 164900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40890 and 9?\nAnswer: 122670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a87 - a?\nAnswer: 2a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 66*u - 239. Let q be v(18). Which is smaller: 97 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -11 - 1. Let q(j) = 12*j - 11*j + 2 - c. Suppose f = d + 11, 0*f - 2*d - 16 = -f. Calculate q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 10. Is d(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 46*n + 200. Determine u(-41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620040 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231072076.\nAnswer: 2, 23, 269, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47660*a*v**2*z**2 + a*v**2*z - 3*a*v**2 - 2*a*v*z**2 - 4*a*v*z + 3*a*v - 64*a*z + 11*v*z**2 + 2 wrt v.\nAnswer: -95320*a*z**2 + 2*a*z - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 12\/4 - -3. Let o(g) = 1 - 7 + g - 4*g - l. Is o(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9406*g**2*s**3*y - 2*g**2*s**2*y + 7*g**2*s**2 + g**2*s*y - 28*g*y wrt s.\nAnswer: 56436*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/4 - 2*h**3 + 7*h**2\/2 + 8*h - 45. Determine o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000718 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.05 - 3.25. Let p = -44 - w. Suppose -7*g + 2*g + 17 = -4*q, 3*g = 5*q + 5. Which is the closest to 0? (a) p (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001100010 (base 2) in base 9?\nAnswer: -1476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 12:22 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 602 and -379?\nAnswer: -228158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108995894 or 108995893?\nAnswer: 108995894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 1, v: 4, d: 3, h: 1, z: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r - 48*r + 14*r to k + s*r and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -7. Let a = k - -11. Sort a, -10, 2 in descending order.\nAnswer: 2, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - i + 5 = -22*g, -15*g + 19*i = -17*g - 180 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1998672, 3996642, 5994610, 7992576, 9990540?\nAnswer: 11988502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-33))\/(((-2)\/(-8))\/((-308)\/440))\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2665*v - 2634*v + 372 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207 + -207.1. Suppose 7 - 3 = -g, 0 = -2*q + 3*g. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvqvvvvvvvv. Give prob of picking 4 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i = -71*i + 36780. Let u be (-2)\/9 - (i\/(-27))\/5. Let d = u + -137. Which is bigger: 14\/9 or d?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 877493311 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 5}. Give prob of picking 2 x and 1 v.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*h - 410 + 614. Sort 8, 4, -2, h, -13 in decreasing order.\nAnswer: 8, 4, -2, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 178 - 2*s + 12*s**2 + 9*s - 179. Is q(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 16*w - 17. Let x be 1\/2*2*1. Calculate the lowest common multiple of y(-14) and (14\/6)\/(x\/3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 4*z**3 - z**5 + (687*z**3 - 1537*z**3 - 3580*z**3)*(-4*z**2 - z**2 + 3*z**2))*(4 - 2 + 0).\nAnswer: 17718*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -n - 4*d, -4*n - 185 = 5*d - 1046. Is n > 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560121 = 143*r - 207074. What are the prime factors of r?\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6 - 1. Suppose -77*m = 7*m + 420. Put -6, m, r, -4 in descending order.\nAnswer: r, -4, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95.3 - -95.4. Let p = -0.02 + -2.98. Which is the second smallest value? (a) -5 (b) t (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4 + 197*z**3\/3 + 3728*z**2\/3 + 16432*z\/3 + 17920\/3 = 0. Calculate z.\nAnswer: -32, -28, -4, -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2492989, 4985976, 7478963?\n\"Answer: 2492987*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6*4\/714)\/(6192\/(-7224)))\/((-10)\/6).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + 4. Let q = -7.4 + g. Let x = q + 5. Which is the biggest value? (a) 0.1 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 17. Let n = j - 7. Let o = -2 - -4. Solve -o*y + c + n = -0*y, 0 = -3*y + 4*c + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 2.2. Which is the biggest value? (a) 4 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let y(i) be the first derivative of 943*i**2 - 391*i + 8. Let l(n) = 29*n - 6. Let k(c) = 391*l(c) - 6*y(c). Give k(x(g)).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173957062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b - 6\/17*b**3 - 2\/17*b**2 + 0.\nAnswer: -2*b**2*(3*b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101210 and 182178.\nAnswer: 910890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 minutes before 12:00 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide -23098 by 4.\nAnswer: -11549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1824*d**3 - 50*d**2 - 2258743*d?\nAnswer: 10944*d - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46277\/92 - -503. Let m = b + 189\/460. Let x = 0.4 - 0.2. Are m and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110061781 to the nearest integer?\nAnswer: 10491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:48 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 times -0.4\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/60 - 13*w**2\/2 + 7*w. Let m(d) be the first derivative of u(d). Let s(z) = 2*z. What is m(s(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 14*o**4\/3 + o**3\/6 - 3*o**2 + o + 38. List the prime factors of n(3).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 1. Let i(s) = -4 - 6*s + 2 - 3. Let r(l) = -10 + 17 - 7*l - 13. Let j(f) = -4*i(f) + 3*r(f). Calculate j(g) + 2*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -107309769\nAnswer: -214619538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r + 75. Let x be q(-2). Suppose -5234 = -x*s + 50*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*m + 3867 - 3384 = -8732 - 6625 for m.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4790 * -455.\nAnswer: 2179450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**4\/5 - 1005*c**3 + 415020*c**2 + 4020*c - 8300448\/5 = 0.\nAnswer: -2, 2, 739, 936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285*t + 1046*t + 56 - 56 + 80*t to s*t + m and give s.\nAnswer: 1411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 - 104212*p**3 + 208462*p**2 + 1563240*p = 0. Calculate p.\nAnswer: -52108, -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118038*i**3 - 58451*i**3 - 59733*i**3.\nAnswer: -146*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.14 - 11.9. Round y to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/34 and -13\/32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -339912 and -0.36004668?\nAnswer: 339911.63995332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -12 + -79 + 14 + 157?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22556 (base 9) to base 5.\nAnswer: -440121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 0\/(-2))\/(-1). Differentiate -z**2 + 3*z**2 - w + 2 with respect to z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/1)\/3)\/((-2604)\/11160).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 13*m**2 - 13*m - 191. Determine p(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3496*r - 3603*r + 1498 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, b: 4, u: 1, j: 6}. Give prob of sequence nuj.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 35*u**2. Let j(i) = -12*i - 5. Let s(g) = -5*g - 2. Let p(a) = -2*j(a) + 5*s(a). Give w(p(n)).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457993?\nAnswer: 43, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*c = -11, p + c = -p + 3. Let k be (-3)\/(-6) + 22\/p. Solve -3*v + 15 = -k*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*g - 2*a + 523, 308 = 2*g - 3*a. Sort -8, 2, g.\nAnswer: -8, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.064 + 0.036. Let f = o - 5.6. Which is the biggest value? (a) f (b) -0.4 (c) -7 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 10154.\nAnswer: -5\/10154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = 29*y - 1197675. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 + -10 - (-139 + 221)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 6 = 18*u. Solve w = u*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(4235) + sqrt(4235) - sqrt(4235) - sqrt(4235) - sqrt(4235))\/sqrt(7) + (0 + sqrt(180)*2 + -4)**2.\nAnswer: -261*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5586 is divided by 791.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -11 in descending order.\nAnswer: -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90545 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:55 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 + -115. What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -7013?\nAnswer: -7013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2325 + -24?\nAnswer: -2349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 2*r - 3*r + (-3 + 1 + 0)*(1 - 1 - 2*r) + 3*r - 4*r + 0*r + (0*r - 16*r - 23*r)*(-1 + 1 - 2) + 2 - 2*r - 2.\nAnswer: 77*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-2)\/23 - 21266\/1426)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lar when three letters picked without replacement from jarajjalaqrb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.98 - -0.52. Which is the closest to -2\/3? (a) i (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from wcwffcfcrtraw.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n. Let t(r) be the first derivative of 37*r**5\/60 + 22*r**2 + r - 197. Let x(f) be the second derivative of t(f). Determine b(x(q)).\nAnswer: 259*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-2)*(-32)\/(-72).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2090918639+-96.6\nAnswer: -96.8090918639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -125*b**8\/336 - b**7\/210 - b**5\/30 - 9*b**3 - 122*b**2. Find the third derivative of v(y) wrt y.\nAnswer: -7500*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-11))\/(-2) - 581300\/572. Let h = 1015 + w. Let u be 25\/(-35) + (-2)\/7. Are h and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -0.2, 1\/14, 41, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gob when three letters picked without replacement from cbooghgh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 7, z: 5}. Give prob of picking 2 z.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 272405540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.96. Which is the nearest to -1? (a) -0.3 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**8\/13440 - p**7\/2520 + p**6\/1440 + p**5\/120 + 5*p**4\/3 + 17*p. Let f(u) be the third derivative of h(u). Solve f(m) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13666\/443 or 31?\nAnswer: 13666\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-30) + 1 - (-1250)\/120*-2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyb when three letters picked without replacement from bzyzzzdbyq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 1 - 1)*(-91*r - 91*r + 70*r) as o*r**2 + g*r + x and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35747316 is divided by 444.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5571*r + 4150. Is m(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2, 3*q + 141 - 118 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((((-140)\/(-21))\/(-20))\/((-2)\/(-2))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/14)\/((-1)\/(-2)). Suppose -w = j - 10. Calculate the least common multiple of j and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*f - 3)*(-2*f + 3*f + f)*(7*f**3 + 6*f**3 - 17*f**3).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(200)*-2*-4 - (2*sqrt(200) + 1)) + (sqrt(126) - (sqrt(126) - 2*-3*sqrt(126)))\/sqrt(7)*-3)**2.\nAnswer: -684*sqrt(2) + 26001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -b6?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:00 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*r**2 - 11\/5*r + 6\/5 + 1\/5*r**3 = 0. Calculate r.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11781 is divided by 527?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 2, f: 4}. Give prob of sequence fai.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -359. Calculate the remainder when 2\/(-16)*4*k is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.018 <= 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 19*m**2 + m - 16. Let w be l(19). What is the greatest common divisor of w and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*h - 139*h + 273*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7004, -14036, -21102, -28202, -35336, -42504, -49706?\n\"Answer: -17*x**2 - 6981*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbq when three letters picked without replacement from {q: 1, n: 1, b: 1, z: 2, m: 2, s: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) + (-2)\/(-9). Suppose p*x = -5*x + 110. Suppose x = 4*w - 14. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 3. Let n(p) = 12*p - 39. Let t(h) = 27*b(h) - 2*n(h). What is the first derivative of t(y) wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*i - 104*i + 731*i + 6 - 288*i.\nAnswer: 196*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -2247.01 rounded to the nearest ten?\nAnswer: -2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3a2799 (base 12) to base 10\nAnswer: -958437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -179. Let o = 620 + -609. What is the highest common divisor of d and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 111 (c) -5 (d) -16 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 64 + 40 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82.14 - 1.86. Let y = 47 + d. Let l = y + 37.038. What is l rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(-5)*0\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t. Suppose -4*w + l = -w + 193, -w + 5*l = 83. Let o be w\/49 - (-4)\/14. Let z be -4*(0 - o) - -3. Give s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + g - 25, -4*q + 9*g - 20 = 12*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/32 + 140\/224*-78.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q - 2. Let u be p(3). Let s(l) = 6*l**2 + 3 - 5*l**2 - u*l + 3. Calculate s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -15.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-1 - sqrt(405))\/sqrt(9))\/sqrt(9).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3\/4, 1.38, 2\/9, -0.103 in increasing order.\nAnswer: -3\/4, -2\/3, -0.103, 2\/9, 1.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1827 and 49624220.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b - 2*b)*(b**2 + 7*b**2 + b**2)*(3 - 1 - 1).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202554620 and 6.\nAnswer: 607663860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*-4*(-11)\/(-132).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, g: 14}. Give prob of sequence gx.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 e when three letters picked without replacement from {c: 5, f: 2, e: 1, z: 2, v: 2, i: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*(4\/6)\/(4280\/26964)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (sqrt(102)*3 - sqrt(102)))*5 - -6*sqrt(102)*-2)\/((sqrt(270)*4)\/(sqrt(40)\/sqrt(2))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 1782*p\/5 - 1784\/5.\nAnswer: 2*(p - 1)*(p + 892)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015007199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4130 + 4886.8. Let x = g - 756. Put -0.3, x, 0.4, 0.2 in decreasing order.\nAnswer: x, 0.4, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6528 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 394*m + 2302. What is o(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - p**2 - 2*p - 1. Suppose 3*g - 1 = 4*g. Let l = 1\/1363 - -94045\/2726. Find the common denominator of n(g) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 2 + 2)*2)**2.\nAnswer: 288*sqrt(17) + 5572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43884 or -43883?\nAnswer: -43884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:02 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*l + 57236 = 0, -2*i - 93*l + 90*l + 22902 = 0. Round i to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzja when four letters picked without replacement from {w: 3, z: 5, a: 3, t: 3, j: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(80))**2*-6 - ((sqrt(35)*-1)\/sqrt(7))**2 - (sqrt(605) + sqrt(605) + -4 + -5)**2).\nAnswer: -792*sqrt(5) + 5972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from itfqfgigtqqq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 12*q**2 + 11*q - 3. Give z(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*r)*(2 - 3 - 1)*(2*r + 0 + 1 + 1).\nAnswer: -20*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5393 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - n = 848, -3*n - 1265 = -3*q + 2*n. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*h**2 - 145 + 25*h**3 - 243 + 210*h**2.\nAnswer: 25*h**3 + 2*h**2 - 388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 420244311 (base 5) to base 13\nAnswer: 486744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 6, o: 4, v: 1, s: 8}. Give prob of picking 1 s and 1 c.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 3*b. Let v(i) be the first derivative of 0*i + 0*i**2 - 1\/3*i**3 - 22. Give y(v(f)).\nAnswer: -2*f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 103. Let w be m(30). Suppose w = 4*j - x, 14 = -3*j - 3*x + 5. Solve -3*s = 2*l + 17, -2*l = j*l - 2*s + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - -85 - (-1 + -1 - (-21)\/7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let t(i) = -167*i - 16. Determine t(q(s)).\nAnswer: 167*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62 - -1)*(-1)\/1. Suppose -3*d + 70 = -4*s, 5*s = -2*d + d - 97. Let q = z + s. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a**2. Let v(d) = 3*d**2 - 5*d + 5. Let o(i) = i**2 - 2*i + 2. Let t(c) = -5*o(c) + 2*v(c). Determine t(g(s)).\nAnswer: 121*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64795 (base 11) to base 9.\nAnswer: -153088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4 + 44912*f**3 - 3612160*f**2 + 72371200*f = 0?\nAnswer: -11308, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 1. Suppose -13*d + 10 = -16. Let j(i) = -3*i - 6. Let z be j(-5). Let t(f) = -5*f - 7*f + z*f. Calculate d*o(s) + 3*t(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 6*w - 5. Let t be g(-2). What is the units digit of (-173)\/t - 8\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21932548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 55 = 5*r, 3*n - r = 5*n - 31. Let l = -209 + 210. What is the remainder when (-10)\/(-20)*(-1 - l*-209) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54786 - 30735. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7205021489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from eeeeheee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10495 divided by -53.\nAnswer: 10495\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5516)\/(-7) - (-8)\/1*3\/6. Calculate the highest common factor of 99 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759000.7m to micrometers.\nAnswer: 759000700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4917 and 77.\nAnswer: 34419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339766 times 137?\nAnswer: 594547942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 376719*b + 376719*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 6 - 9*y**2 - y**3 + 2*y**4 + 12*y**2 to j*y + k*y**4 + f + t*y**3 + m*y**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 19\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -1 (c) 7096 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20417271 is divided by 11919.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168203106 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than or equal to -1.6771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/2, -32, 0, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -39612 > -277275\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n - 35*n**3 - 21*n + 35*n)*(-65*n**2 + 28*n**2 + 30*n**2).\nAnswer: 245*n**5 - 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-515)\/105 - (1 + -6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**(-3\/8)\/((c*c*(c**9*c)\/c*c)\/c**(-12)) assuming c is positive.\nAnswer: c**(-387\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7986, -8088, -8254, -8484, -8778, -9136, -9558?\n\"Answer: -32*c**2 - 6*c - 7948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6*o + 2 + 1.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 5)*(-1)\/(3 + -2). Sort 1, z, 2, 5.\nAnswer: z, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2385 to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78444 is divided by 1563.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.42275 - -0.418. What is k rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 2*v - 3*v + 4*v + 4*v - 6*v + (-2 + 5 - 4)*(-2*v - v + 5*v) + 20*v - 10*v + 6*v + (v + v + 0*v)*(-4 + 3 - 5).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 2*j + 2. Suppose 0 = -4*v + 24 - 8. Let d be f(v). Let w = -235\/4 + d. Which is the second smallest value? (a) w (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**3 + 2*v**3 + v**3 + (1 - 2*v - 1)*(0*v + 2*v**2 + 0*v) + v**3 + 2*v**3 - v**3 - 3 + v**3 + 3 - 2*v**3 + 0*v**3 + 0*v**3 + 0 - 2*v**3 + 0.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4646 = y - 4*g + 4634, -2 = y + 3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -338, -3\/5, 0.2, -2.\nAnswer: -338, -2, -3\/5, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/3)\/5*193\/965?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 57264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13871 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -221779591246?\nAnswer: 221779591250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-4) - ((-6)\/8 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(2*sqrt(500)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 667995859 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 43209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 3:30 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-8 - -2) + 35 + -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1384 and 0.092.\nAnswer: -1383.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/10 + z**4\/12 - z. Let i(w) = w**3 - w**2. Let b be (-2)\/4 - 1\/2. Determine b*x(k) - i(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((108\/(-60))\/9)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -607.3 - -607. Let i = -44 - -42.5. Which is the biggest value? (a) i (b) -1 (c) r (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7201327*o + 8457786 with respect to o.\nAnswer: 7201327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 2*w**2 - 165*w + 20. Let l be k(12). Calculate the highest common divisor of 2296 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - d - 1, -4*d + 5 + 3 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 4, h: 2}. Give prob of sequence hfh.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 232*j**3 + 2*j**2 + 3*j + 1. Let m be t(-1). Let g = m - -237. Solve k + 3*p - 12 = 0, 4*k = 2*p + g + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -64 - 189. Calculate the remainder when 197 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 34 = 159*g - 163*g, 3*g = u + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 47*r + 169. Let g be l(43). Let u(z) = 2*z - 1. Give u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4671 times -1?\nAnswer: 0.4671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 11 = 2*r - 5*r, 4*r = -k - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1\/12 (c) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n. Let d be n + 1 + 6 + -2. Let h = d + -4. What is the least common multiple of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4444 = 54. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 12, g - w + 12 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 - 1879032*a**2 - 52610544*a = 0. What is a?\nAnswer: -626316, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**3 - 8*q**2 - q + 8. Let u(i) = 31*i**3 - 14*i**2 - 2*i + 14. Give -7*o(d) + 4*u(d).\nAnswer: 19*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1)*(-5 + 0 + 1)*(19*a - 25*a - 2 + 15*a) in the form z*a + w and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4 + 52034*m**3 + 52032*m**2 = 0.\nAnswer: -26016, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213909?\nAnswer: 3, 113, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*-3)\/(-6*sqrt(44))*-5 + (3*(sqrt(156) - (sqrt(156) - (sqrt(156)*4 + sqrt(156)))))\/(4*sqrt(972) - sqrt(12)).\nAnswer: 41*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/6*(-144)\/96. Let a(i) = 14*i**2 - 8*i - 5. Let n(u) = 3 + 5*u - 9*u**2 - 3 + 3. Determine c*a(y) + 8*n(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 6. Let p(x) = -4*x - 18. Let r(l) = 8*i(l) - 3*p(l). Let v be r(0). Suppose 0 = v*g - 7*g + 4. Solve -g*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -20*i**3 + 444*i**2 - 82*i - 138. Determine a(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0 - 1\/4*q**4 + 0*q + 13*q**2 + 1\/12*q**5 - 25\/6*q**3. What is the units digit of d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 + -0.03. Suppose 29 - 71 = -3*j. Let h(a) = -a**3 + 15*a**2 - 14*a - 6. Let k be h(j). Sort -0.2, l, k.\nAnswer: k, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -4*w - 5*m, -3*w - 2*m - 11 = -136. Let l be (-6)\/4 + w\/6. Let q be (-2 + l\/2)*10. Sort q, -2, -3.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - y**2 - 2*y - 1. Let q be w(-1). Suppose d - c + 24 = -4*d, q*d + 17 = -2*c. What is the closest to -2 in -3, -0.2, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409617 divided by 9.\nAnswer: 45513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -451024 - 11?\nAnswer: -451035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62608*t + 31 = -5*h - 62604*t, -4*h + 10*t = 52 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -519\/7 + 74. Let c be (3 - (-8)\/(-4))*-2. Sort c, 0.3, a in increasing order.\nAnswer: c, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, -124, -481, -838, -1195?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3933744.89999988 + 3933745. Let k = s + -0.1. Round k to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**4 - 9*p**4 + 13*p**4)*(-5 - 1 + 8)*(-2*p - 3*p + 6*p) + 1 + p**5 - 1 + (-4*p + 4*p + 2*p**3)*(-2*p**2 + 0*p**2 + 4*p**2) - 5*p**5 + 2*p**5 + p**5.\nAnswer: 29*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10647 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -879\nAnswer: 5\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and -134*(-4)\/24 + (-10)\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 29033 = -3*x + 118353, -2*x = -4*b - 98252. Suppose 6*f - x = -17*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(6 - 6 - 7*i)*(-4*i + i - i)*(1 + 1 - 1).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 45*g - 1522. What is k(33)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = 2*u, -j = -2*u - 2*j - 1. Suppose 3*m - 63 = -u*m. Let s = -277 + 282. Solve -s*z + m = -4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57916.21 decades?\nAnswer: 5791.621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2485, -5050, -7681, -10372, -13117?\n\"Answer: i**3 - 39*i**2 - 2455*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2655689 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 667 + -1287. Let n be (-6 - 1\/(-7)) + (-2)\/14. List the prime factors of b\/(-15) + 8\/n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 83 = -27. Solve -31 + z = 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = 15. Suppose 5*u + c*u - 64 = 0. Solve v + v = -u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 308918 = -2*g, -k - 718324 + 100488 = -4*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmbmbmmbbbm. Give prob of picking 1 b and 1 m.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/62 and -17\/18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 27. Let f be b(25). Let a be (-4)\/10*95\/f. Suppose 3*l = 2*s - 7, 3*l + 4 = s - 1. Put 5, -4, l, a in descending order.\nAnswer: a, 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -450\/4201 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 80 (b) -0.02 (c) -0.3 (d) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:30 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -23, 1, 4, -4\/37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 123 + 75)*(l + 1 - 1) in the form w + o*l and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7829 + 15208 = 3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326366319?\nAnswer: 3, 29, 1303, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 2512*z + 36. Let s(b) = 6*b. Determine p(s(g)).\nAnswer: -72*g**2 + 15072*g + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus -18.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 1176 = 2*q. Let t = q - 85. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*28.8921.\nAnswer: 8.66763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4126, -2602, 2, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 7*c - 2*c + (4 - 4 + 3*c)*(-2 - 2 + 6) + c + 2*c + c)*(-28 - 24 + 91) in the form k*c + g and give k.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1684)\/10 + -1)*((-5535)\/287 - -19). Factor -2\/5 + b*h**2 + 122\/5*h**3 + 118\/5*h.\nAnswer: 2*(h + 1)**2*(61*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, 3\/7, 2, 20, -4\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 87 = -5*w, -3*b - 66 = -2*w - 310. Let 10*l - 43*l**4 - 15*l**2 - 34*l**4 + b*l**4 = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2)\/sqrt(9)*2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 25. Let k(x) = -5*x + 13. Let o(b) = -7*k(b) - 4*u(b). Let r be o(5). What is the greatest common divisor of r and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -62\/16005 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1680063.1928 + 9.8072. Let m = 1680123.99958 - k. Let v = m - 51. Round v to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 24*w + 50. Let m be s(-26). Is m bigger than -119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/35 - (-2)\/(-7). Let y be o\/((-2 + 1)\/1). Let r = -53.15 - -53.05. Is r < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 3:56 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 202 + 239 + 202 + 336.\nAnswer: v**2 + 575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -d?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3236934*b**3 - 2 + 3236909*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 174, 720, 1640, 2934?\n\"Answer: 187*m**2 - 15*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 13 + 13 + l + 2 - 2 + (-l + 4*l - 5*l)*(2 - 1 - 3) - 3 + l + 3 + 2*l - 15*l - 3*l + (-1 + 2 - 2)*(-9 + 2*l + 9).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 4*y, 3*y + 13 = 4*y - m. Suppose 5*o + w - 35 = 0, -4*w = -5*o - 0*w + y. Is 3 a factor of (2\/3)\/(o\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 0*k - 4\/3*k**3 - 3 - k**2 - 1\/2*k**4. What is q in f(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 9*x**2 - 4 + 7*x**2 + x**3 in the form l*x + d + u*x**2 + c*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (74009\/68316)\/(1\/(-6)*2*-1)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0165377 plus 0.481?\nAnswer: 0.4644623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -489 + 448430?\nAnswer: 447941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/15))\/(m*m**1))**(2\/119) assuming m is positive.\nAnswer: m**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3809474, -3809493, -3809522, -3809561, -3809610, -3809669?\nAnswer: -3809738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i**4 + 0*i**2 + 2*i + 20\/3*i**3 - 19\/6*i**6 + 0*i**5 + 4. What is the third derivative of j(g) wrt g?\nAnswer: -1140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvho when four letters picked without replacement from {v: 3, o: 3, h: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 452549359 to the nearest integer?\nAnswer: 21273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2592.9999997307 - -2593. Round g to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -36412553 greater than -36412551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11\/22*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 332951239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 - 7*k + 2. Let u be (7\/(-2))\/((-3)\/6). What is the smallest common multiple of c(u) and (-10)\/(-4) - (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/33 and -65\/3711.\nAnswer: 40821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14511 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77.9 - 78. Which is the nearest to o? (a) 3\/4 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)*a*a**(-5)\/a)\/(a\/a**(-2\/5)*a**5))\/(a**(1\/8)\/(a\/((a\/a**(-4))\/a))*(a*a*(a*a**0)\/a*a)**(-1\/2)) assuming a is positive.\nAnswer: a**(-1523\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65783467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2253, -2265, -2279, -2295, -2313?\n\"Answer: -t**2 - 9*t - 2243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3324 and 384.6087.\nAnswer: -2939.3913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/((-2)\/6) - 1. Let k = 29 + -1. Let b = 27 - k. Put -0.5, b, -2\/9, d in increasing order.\nAnswer: b, -0.5, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -911*b**3*v - 75*b**3 - b**2 + b*d*v + 116*b*d wrt v?\nAnswer: -911*b**3 + b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12854 and -0.77?\nAnswer: -9897.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241528?\nAnswer: 2, 7, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + 9\/(-42). Let g = 0.09 + -0.1. Let q = g + -0.39. Sort y, q, 2 in descending order.\nAnswer: 2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -1075, -1 in descending order.\nAnswer: 4, 0, -1, -5, -1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1534 + -3.1534. Let r(y) = y - 12. Let c be r(5). What is the fourth smallest value in c, 3, z, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m*m**(2\/13)\/m)**(4\/27) assuming m is positive.\nAnswer: m**(160\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.049 or -6\/41?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9 + (-121)\/(-3). Suppose -5*o + f = -o. Let g be 6\/10 + 4\/o. Which is greater: 1\/6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17 + 0 + 0 - (-105 + 110). Let y(p) = -6*p - 137. Let d be y(c). Let f(r) = r**2 + 6*r + 6. Give f(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2284793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h**3 - 93*h**3 + 31*h**3 + 32*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 4. Let t = 383 - 358. Suppose 2*p = 0, 3*p - 1 - 1 = -z. Suppose z*d = -2*d - 5*v - t, 5*d - v - 5 = 0. Calculate c(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 3*x + 4. Suppose 13*f + 3*f - 80 = 0. Give b(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 5*o - 147 = 0. Suppose -o*l - 1333 + 6184 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - -66 - (1 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:54 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 + -50.73335.\nAnswer: -36.93335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3811 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4475950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112488479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 8*k - 6. Let q be v(-5). Let j = -12 - q. Let p = 1 + j. Calculate the highest common divisor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)*(-1 + 2). Let x(s) = -s**3 - s**2 + 3. Calculate x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.65 times -0.2\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) 32 (c) -21151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**2 + d**2 - 17*d**2. Let v(r) = r**2. What is x(v(f))?\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + v**2 + 3*v)*(-5 + 1 + 2) - v**2 + 0*v**2 + 0*v**2 + (v - v - 2*v)*(13 + 2 + 1)*(-11*v - 10*v - 6*v) to the form d*v + t*v**2 + l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -0.00404.\nAnswer: 17.99596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1085 = 270*p - 263*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/561 - -4364\/187. Which is bigger: q or 22?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*n - 5576, 0 = -4*n + 7*n - 3*r - 5586. List the prime factors of n.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/28 and 59\/193044.\nAnswer: 1351308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190\/561 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 16*o + 7 - 11.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a - 63*a = 2857571 + 8693929. Round a to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1289, -2539, -3789?\nAnswer: -5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40450 - 40458 + 21*o + 26*o + 2*o + 0*o - 3*o + (-4*o + o + 4*o)*(-28 + 6 - 11) to the form i + d*o and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422252.\nAnswer: 2, 3, 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158252941 and -0.5.\nAnswer: -79126470.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 562 + -311. Calculate the remainder when j is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -476712 + -3?\nAnswer: -476715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -139\/2. Sort h, -2\/7, 0.3, 3 in descending order.\nAnswer: 3, 0.3, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, q: 1, k: 10}. Give prob of picking 1 w and 1 q.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1707172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/2)\/((-1745)\/(-28618)). Solve 3*b + 50 = i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, r: 2, u: 1, o: 1, j: 4, y: 2}. What is prob of picking 1 x, 1 u, and 1 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or -10716?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -j + 4*w, 3*j + 54 = -2*j - 3*w. Find the common denominator of -2 + -1 + 80\/j and 29\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33307393?\nAnswer: 7, 157, 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mee when three letters picked without replacement from eme.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0.1 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/157 - 7940\/1413. Find the common denominator of h and -57\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 6071?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936608806.\nAnswer: 2, 7, 23, 2908723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-72))\/(4\/(-12))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28025943\/46780 - 9\/9356. Let g = -1181\/2 + k. What is the common denominator of g and 61\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 161*r + 1290. Let l be z(-8). Solve -4 = 3*n + 4*y - 9, l*n - 3*y + 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n. Let v(j) = -162217*j. Give z(v(k)).\nAnswer: 648868*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:48 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-9*(-26)\/(-117)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.129 and 0.1.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22\/499 - 587\/1996. Let v = 0.93 - -0.07. What is the nearest to v in -1, z, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-240)*14\/63\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2114, 4230, 6336, 8426, 10494, 12534, 14540?\n\"Answer: -x**3 + x**2 + 2120*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b**4 + 0*b**3 - 1\/240*b**6 + 0 + 0*b + 1\/240*b**5 + 2*b**2. Factor y(d).\nAnswer: -d**2*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.94979m?\nAnswer: 3949790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0*n + 3*n - 3*n**2 + 9*n - 21 + 4*n**2. What is the units digit of y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*d - 638. Let t = -77 - d. Suppose -4*k = -5*u - 4 - t, -3*k + 3*u = -15. Solve k*s - 11 = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 975, 0.5, -5, 0.4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*m + 7 = -0, -3*j = -3*m - 6. What is the second derivative of 4*q - 12*q**3 + 0*q + 12*q**3 + j*q**4 wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115736 is divided by 169?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/((-30)\/25)*-3)\/(14\/210). Calculate the highest common divisor of 8450 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -27.37\nAnswer: 2.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/(-1) + (-2 - -2). Let t = o + -41. Suppose 6*q - 2*q - 5*s - 35 = 0, -6 = 2*s. Solve -3 + 25 = q*g + t*p, -2*g + p = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 7*f**3 + 3*f**3)*((-129*f + 198*f - 112*f)*(-3 + 2*f + 3) + (4 + 3 - 2)*(3 + 2 - 6)*(3*f**2 + f**2 - 3*f**2)).\nAnswer: 182*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 652.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 5*c + 9. Let y(v) be the first derivative of -14*v**3\/3 + 8*v**2 + 27*v + 96. Let i(j) = -11*d(j) + 4*y(j). What is i(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(468) - sqrt(468)*2)*-5*-2)**2 + (sqrt(260)\/(-2*sqrt(5) - sqrt(5)))\/(sqrt(20)\/sqrt(5)*-5).\nAnswer: sqrt(13)\/15 + 46796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10268*o + 33 = -10266*o, -6*o + 24 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**3 + 12*m**2 + 9*m - 2. Let j be i(-2). Let p(r) = -r**3 - 21*r**2 - 21*r - 28. What is p(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(98) + sqrt(98) + -2) + -2.\nAnswer: -42*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166235 is divided by 1196.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**4 - m**4 + 4*m + m - m**4 wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -30. Suppose -2*a + 6*a - 20116 = l. Suppose -3*i = 4*m - 622 - a, 0 = 4*m + 2*i - 5646. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*a - 45, -2*d + 3*d = -1. Let p(b) = b - 21 + a. Let w(q) = 2*q**2. Calculate p(w(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*y + 7*y - 115, 3*y - 4*f = 86. Let k = 58 - y. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3358*q - 10. Let y(h) = 2*h - 2. Determine -n(p) + 6*y(p).\nAnswer: 3370*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5245 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 6*z**2 - 3*z + 5. Determine y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/6 + -2\/3. Let v(z) be the first derivative of -1\/4*z**2 - 1\/12*z**6 - 1\/3*z**3 + y*z + 1\/10*z**5 + 1\/4*z**4 - 2. Solve v(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*l**2 + 2687 + 78*l**2 - 2*l**3 - l - 2652 + 56*l**2 + 4*l**3 to p + q*l**2 + x*l**3 + u*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1878677 to 3 decimal places.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 270 in 0.1, 2, 0.5, -0.47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w + 61*w - 35*w - 16314 + 16318.\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (34\/30 - (-418)\/(-3135))*-10?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jmjjjmjjjjm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.55 and 2.07682.\nAnswer: 5.295891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q**2 - 12*q**2 - 8*q**2)*(1 + 5 - 8 - 27*q).\nAnswer: 810*q**3 + 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, o: 3, a: 5}. Give prob of sequence ooa.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61687 minus 153?\nAnswer: -61840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 9) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10174903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*g + 3*o = 111*g - 3, 5*g + 3*o - 60 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 18 (c) 0.07 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 584*c**2 - 5*c + 1429 wrt c.\nAnswer: 1168*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1367*j + 3387?\nAnswer: -1367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000380274 rounded to seven dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110222 - 2220012221?\nAnswer: -2220200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s - 437. Let u be p(42). Calculate the highest common divisor of 17155 and u.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2. Suppose 4*i - 2*i - 4 = 0. Let a(n) = -2*n**2 - n**i + 4*n**2. Calculate a(m(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -43908 and -43908 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1434 = 7704. What is m rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -483*v**4 - 2 + 71*v**4 - 806*v - 1164*v**4 + 307*v**4 wrt v.\nAnswer: -15228*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/2 - 91*c**3\/6 + 21*c**2 - 9*c + 15. Let p be l(-15). Calculate the greatest common divisor of 114 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7065, -1, 15628, 5 in descending order.\nAnswer: 15628, 7065, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 328107 and 171016950.\nAnswer: 171345057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*q + 22 + 38, 5*o + 75 = -5*q. Let u = -10 - o. What is the smallest common multiple of 3 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 12.35. Let x = y - 0.1. Let d = -0.19 + x. Round d to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 2, w: 3, i: 1, b: 7}. Give prob of picking 3 w.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -7*y**3 - 243*y**2\/2 + 152*y. Let l be p(-6). Solve -h - 2*r = l, -h - 5*r = -6*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 35 = 82*m - 83*m, 0 = 2*m + 2*m + 12*y - 100 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1\/6 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2a2b75 (base 14) to base 2\nAnswer: 101100110010010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = 7*a + 261. Calculate the remainder when a is divided by -22*(-1 + 0\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 121 = -5*a. Let c(v) = 14*v - 10. Let t(o) = 2*o**3 - 4*o**2 + o + 2. Let u be t(2). Calculate the remainder when c(u) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50794, -101119, -151444, -201769?\n\"Answer: -50325*p - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 43*z = -8. Solve 0 = 2*y + j + 11, 5*y + z*j - 3*j = -40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 4*t + 1. Give w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d8 - 3ab7c?\nAnswer: -3b476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgg when three letters picked without replacement from {y: 2, c: 2, z: 2, s: 3, k: 4, g: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7245*l*w**5*x - 17*l*w**2*x - 194*l*x - 22*w**6 + 22*w**2*x wrt w?\nAnswer: -434700*l*w**2*x - 2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*w + 36 - 11, -5*w = 2*c - 10. Suppose 0 = -c*n + 5*x + 1095, x - 1123 = -5*n - x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15066\/(-3348)*(-32)\/63?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355610 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-442)\/65 - -6 - -3.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1065 - 549. Are 517 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 600278566 in descending order.\nAnswer: 600278566, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 8. Calculate f(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 5) in base 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 142\/4 - (-9)\/(-6). Let u = 35 - x. Calculate the greatest common factor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**4 - 97\/3*m**3 + 0*m**2 + 177\/5*m**5 - 250 + 0*m. Find the third derivative of s(g) wrt g.\nAnswer: 4248*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/37 (b) -2 (c) 0 (d) -7 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2747452 and 416.\nAnswer: 285735008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5995950 or 5995953?\nAnswer: 5995950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2198570?\nAnswer: -2198563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {r: 2, s: 2, f: 1, m: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -308*x + 776 + 1380 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5471737*c + 2*c**2 + c**3 + 3 + 6*c**3 + 5471740*c + c**3. Let i(d) = 9*d**3 + 3*d**2 + 4*d + 4. What is -2*i(f) + 3*l(f)?\nAnswer: 6*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-98))\/(189\/(-294)). Which is the third smallest value? (a) 73 (b) m (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v**3 + 139*v**2 + 18*v - 1. Let z(o) = 12*o**3 - 139*o**2 - 12*o. Determine 2*r(u) + 3*z(u).\nAnswer: 10*u**3 - 139*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 641 - 647. Let q(n) = -11*n**2 + 27*n + 17. Let g(p) = 4*p**2 - 9*p - 6. Give m*q(k) - 17*g(k).\nAnswer: -2*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-2)\/2 + (-5886)\/(-18). Suppose -2*z + v = -3*j, 4*z - 7*j - 632 = -9*j. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 8 = -13*v. Solve -2*x + 8 = -v*y, y - 15 = -2*x - 4*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -23\/7?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-1190)\/70))\/(1\/(44\/(-2))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/103 and (-34)\/85 - 0 - 433\/480.\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + (-6)\/(-24). Suppose 4*s = -5*x - 59992, 3*s = -i*x + 4*x + 48006. Round x to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xczzczcxxzxxbcz. Give prob of sequence xc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1387805824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -478.75162 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -23. Suppose 3*o - 114 = m*o. Let y = -45 - o. Calculate the greatest common factor of y and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180 + 174. What is the least common multiple of 22\/12 - 1\/w and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 18*c + 21*c = 549, -c = -3*f + 807. Is 45 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.06075?\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by 8\nAnswer: 193\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(6\/7)\/j*j**(-10)*(j\/j**11)\/(j**(-2\/31)\/j) assuming j is positive.\nAnswer: j**(-4140\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 1601, 2424, 3259, 4106, 4965, 5836?\nAnswer: 6719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 281 in 1\/7, 34, 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8 and -91\/2218.\nAnswer: 8872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*a**2 + 13*a - 13*a.\nAnswer: 89*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 65 = 5*j - 0*s, -55 = 4*j - 3*s. Let y = 6 + j. Let h = 422 - 1255\/3. Which is the second smallest value? (a) y (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -30.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4932\/(-30825)*(-135)\/(-198)?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3084)\/(-3855)*(-15)\/26.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3789*x - 27*x**3 + 1265*x + 1269*x + 2*x**3 + 1255*x.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 2 - -3585 - (235 + -233) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, -39, 17, 4 in ascending order.\nAnswer: -39, -2, 2, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/20 - n**4\/2 - n**3\/2 - 3*n**2 - 3*n. Let d(s) = s**2 - 4*s + 2. Let k be d(5). Does 3 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m, -5185 = -5*a - 71*m + 69*m. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzazzzzzzzzzzzza.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 29*z - 185 = 0. Let q = -7 + 19. Let y be ((-20)\/z)\/((-16)\/q). Solve 4*g = 4*p + y*g - 7, 2*g + 10 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 48. Let a(m) = -m**3 + 5*m**2 + 6*m + 6. Let r be a(6). What is the greatest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23233200 - -2?\nAnswer: 23233202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1267 divide 1031204923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4509717 is divided by 5575.\nAnswer: 5117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1794465 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -28*j + 331. Let y = 12200 + -12188. Calculate n(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -58. Solve -k*x = x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36145 + 36144.6. What is the fifth smallest value in 7, 4, y, -1\/10, -3\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3))**(-17)\/((i*i**(2\/15)*i*i*i)\/(i**(-4\/5)\/i)) assuming i is positive.\nAnswer: i**(-259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247\/3 - -83. Let u = 2\/283 - -2258\/849. Suppose -2\/3*f**3 + 8\/3*f**2 - u*f**4 + d*f + 0 = 0. Calculate f.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j - j**2)*(-2*j + 2 - 2) - 2*j**3 - j**3 + 4*j**3 - 7*j - j**3 + 7*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 94830 divided by -3\nAnswer: -31610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**3\/3 + 2*x. Suppose 4*t = -2*a - 1 - 1, t - 4*a + 5 = 0. Let j be g(t). Put j, 2, 3 in ascending order.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034895922 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 221 - 218. Let p(b) = -d + 51*b - 53*b + 88. Let i(c) = c. Determine p(i(w)).\nAnswer: -2*w + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/16515 and -7\/18067410.\nAnswer: 18067410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 437. Let p = -371 + u. Sort p, 1\/13, 5 in increasing order.\nAnswer: p, 1\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3578 - 3574. Solve n*d + 39 = 5*v, 0 = 10*v - 9*v - 4*d - 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 + 3860.6.\nAnswer: 4043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -26. Let i = x + 10. Round i to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16*6\/60)\/(4\/(-40)). Suppose 465 = 4*p + k*j - 15*j, 3*j + 215 = 2*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7117263 to 2 decimal places.\nAnswer: 2.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:52 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 885 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.9035958 to 1 dp.\nAnswer: 28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 2*i**2 - 6*i + 6. Calculate z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3992 is divided by 168.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.82 - 0.02. Let k = -35.8 - -36. Let h = k + t. What is the closest to h in -0.3, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22746231569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/8 and -15\/1157?\nAnswer: 9256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/387 and 41\/258.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 9 - (0 + (-19 + 6 - -13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-6 - ((5 - -16) + -18))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**3 - 2*d**3 + d**3)*(3 + 1 + 1).\nAnswer: -10*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**3 + 1631*m**2 - 451*m**2 + 10*m**3 - 1180*m**2.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**3 - 3*s**2 + 428*s - 14. Let d(f) = -3*f**3 - f**2 + 215*f - 8. Calculate 7*d(y) - 4*k(y).\nAnswer: 3*y**3 + 5*y**2 - 207*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 - j + 3*j - 2*j as h*j**2 + z + f*j and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**4 + 11208*t**3 + 122228*t**2 - 1608912*t - 3617136 = 0.\nAnswer: -2791, -18, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*w - 359*w = -664*w - 1333 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = 4*t, 0*l - 5*l - 25 = -5*t. Let g = t - 3. Let b = 7 + g. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/4 - 219*b**2\/4 + 4275*b\/4 + 399627\/4 = 0 for b.\nAnswer: -57, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(8\/(-12) - (-4)\/(-3)). Suppose -h*z + 9 - 5 = 0. Is -2\/83 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1. Let h(c) be the third derivative of -c**4\/24 - 2*c**3\/3 + 2*c**2. Suppose -l = 2*l - 2*z + 13, -3*l - 8 = -z. Calculate l*h(w) + 6*v(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6396752023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-96))\/(1\/(-1)))\/(22925\/29475).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-1\/4))))**22*(z**(-2\/3)*z)**(-21))**20 assuming z is positive.\nAnswer: z**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105693 + 162026. What are the prime factors of k?\nAnswer: 56333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425.2 times 1502\nAnswer: -638650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45675 - 169029 = -63*r. Is 89 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63060 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b. Let m be (2\/(-6))\/(6\/18). Let y(p) = -19*p**3 - 20*p**2 + 5*p. Let u(i) = m*y(i) - 5*h(i). Find the third derivative of u(z) wrt z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, r: 10}. Give prob of picking 3 r.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(0 + sqrt(243)) + -5) + 4 + 5*5*3*sqrt(243))**2.\nAnswer: -13068*sqrt(3) + 1058629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 74*i**2 + 6*i + 1. Let o be w(-1). Let d(r) = -r**2 + 9*r - 18. Let f be d(6). Suppose f = l + o - 265. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/4 + 14*z**3\/3 + 2*z**2 + 16*z + 4125. What is n(14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**3 + 11*q**2 + 12*q - 5. Let n be t(-8). Let o = n + -1850. List the prime factors of o.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 5*i + 2. Let p be (-15)\/35 + (-38)\/(-7). Calculate f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/24 - 1431*n**2. Let j(u) = -68*u**2 + 3*u. Give m(j(a)).\nAnswer: -68*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m**3 - 13*m**2 + 22*m - 43. Let s(u) = -3*u**3 - 4*u**2 + 5*u - 13. Let v(r) = 7*s(r) - 2*x(r). Give v(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6db + -1c2?\nAnswer: -8ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g - 5*g**2 + 0 - 1\/70*g**7 + 0*g**3 + 0*g**5 + 0*g**6 - 1\/24*g**4. What is the second derivative of t(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, q: 2, t: 1, c: 3, z: 2, r: 6}. What is prob of sequence gz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497?\nAnswer: 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1342, -4\/5, -3, 69, 2\/19, 2 in ascending order.\nAnswer: -3, -4\/5, 2\/19, 2, 69, 1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340973453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1613545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**7\/280 - 3*m**5\/40 + m**4\/4 + 2*m**3\/3 - 5*m. Let w(p) be the second derivative of b(p). Factor w(o).\nAnswer: 3*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - i + 1 = 0, i - 4 + 13 = 5*n. Let u = n + 3. Let m(c) = c**3 + c**2 - c + 2. Let b be m(0). Solve b*t = t + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2. What is f(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*o + 1501, 4*o + 14*p - 3007 = 11*p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 3562?\nAnswer: 32058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1756, -1785, -1804, -1807, -1788, -1741?\n\"Answer: r**3 - r**2 - 33*r - 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 5*y + 6. Let z be (-3)\/((-6)\/4) + -4. Let u be n(z). Suppose -u*f + 7*f + 6 = 0. Which is smaller: -4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31247 = 15632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322 and 20.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knknkxxgk. Give prob of picking 1 k and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 29 + 20 = 0. Suppose 0 = -v*r + 22*u - 17*u + 31, 3*r + 4*u + 14 = 0. Solve h - 26 = -5*w, -2*h - 3*w + 7 = -r*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24004 is divided by 3443.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*s + 34 - 34)*(1 - 1 + 8*s**3 + (3*s**2 - 2 + 2)*(-40*s + 45*s + 35*s)) as l*s**3 + k*s + a*s**2 + t + h*s**4 and give h.\nAnswer: -1408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118914*c**4 + 4*c**3 + 99*c**2 + 36046127*c.\nAnswer: 1426968*c**2 + 24*c + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 17. Let b = w - 13. Let y be (-6)\/2*b\/9. Put 5, 3, y in decreasing order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = 2*z. Suppose 0*c + z*c = 25. Suppose 13 + 17 = -c*x. Round x to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 2*t + t)*(-4 + 3 - 3)*(4 - 2 + 0)*(7 - 9 + 7) in the form x*t + i and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8 + 12*g**2 - 28*g**2 - 9*g + 15*g**2. Calculate w(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 7*c + 4. What is the nearest to 1\/4 in 3, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20209a (base 14) in base 3?\nAnswer: 2000221020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 11509654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 9:46 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/14)\/((882\/70)\/(-21)). Let a(d) be the second derivative of -34*d + 0 - 1\/4*d**5 - 5\/2*d**2 + 5\/12*d**4 + n*d**3. Factor a(w).\nAnswer: -5*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 - 20*r**2 - 2*r**2 - 27*r**2.\nAnswer: -62*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = u - 7, -4*u - 17 = -5*f - 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 58. Determine z(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 0.7. Let s = -3 + -2. What is the nearest to 0.1 in 0.3, s, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11516 + -1440?\nAnswer: -13156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29251920.\nAnswer: 2, 3, 5, 121883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001001111100000000 (base 2) to base 16.\nAnswer: -49f00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350.064 - 350. Is v at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781264 + -1536.1?\nAnswer: -782800.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 1, j: 1}. Give prob of sequence vl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2785 or 2814?\nAnswer: 2785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -77*o. Let f(z) = 1054*z - 186. Let t(y) = 57*y - 10. Let k(a) = -5*f(a) + 93*t(a). Calculate k(v(n)).\nAnswer: -2387*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrff when four letters picked without replacement from ffffrfff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(3\/9))\/(18\/600*10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8*q = 8. What is the least common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23\/14 + 29\/14. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1747 or -33\/41?\nAnswer: -33\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/9, -2, 1.1, -2.89 in increasing order.\nAnswer: -2.89, -2, -2\/9, 0.4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 51. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.076 + 0.024. Let b = -2.099991 + t. Round b to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*g = -51, 2*j + 42 = -j - 2*g. Let o = 7 - j. Suppose -4*b = -o - 45. Which is smaller: b or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -879810, -879734, -879658, -879582, -879506?\n\"Answer: 76*x - 879886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 233.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 7*m + 10. Let j be x(6). What is the highest common divisor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 3*v**4\/20 - 44*v**3\/5 + 51*v**2\/2 - 126*v\/5 - 43. Factor g(s).\nAnswer: 3*(s - 42)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/11 in 0.03, -3078, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33033 - 10?\nAnswer: -33103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10370.\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 34*x**2 - 3*x + 105. Calculate the smallest common multiple of 201 and s(34).\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-11))\/(-60)*22*38\/(-7733)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 7*b + 216. Let q = 66 + b. Is q < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133834069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 958 divided by 6\nAnswer: 479\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5, 4*u = -5*r - u + 35. Let k be -5*1*r\/(-15). Differentiate 0*g**3 + 0 + k - g**3 with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4728.07 in 3, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 3, n: 7, h: 1, b: 1, l: 3}. What is prob of sequence nh?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -2951*r**4\/6 - 4871*r**3\/6 - 3869*r. Find the second derivative of q(y) wrt y.\nAnswer: -11804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15978428, 15978426, 15978424, 15978422, 15978420?\n\"Answer: -2*f + 15978430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4054551 and 969.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*c**4 - 120 with respect to c.\nAnswer: 272*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = -5*j, 5*n = j - 4563 + 4486. Suppose 4\/3*r**3 - 28\/3*r**j + 28\/3 - 4\/3*r = 0. What is r?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6309967 to two decimal places.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -320001 - 6133?\nAnswer: -326134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/390*(-10)\/4)\/(1\/(18\/(-12)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10414*h**5*m - h**4*m**2 - 10*h**2*m + 838*h*m**2 wrt h?\nAnswer: 624840*h**2*m - 24*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -5*h**2\/2 - 19*h + 4. Let o be l(-4). Let x be (o - (-21)\/6)*6. What is the highest common divisor of x and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**2 - 2*q**2 + 8*q**2 + 10*q**2 - 20*q wrt q.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.03 in -5, -5\/4, 28, -0.3, -111?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633, 0, -5, -0.5, -1, 78 in decreasing order.\nAnswer: 633, 78, 0, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*f = 21, -4*y + y = f - 4. Suppose 36 = 4*k - y*o - 24, k - 30 = -3*o. Let p = -92 - -156. Calculate the remainder when p is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 255 in -4, 1, -7.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 72557.\nAnswer: 72552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3\/13 + 48*y**2\/13 - 378*y\/13 + 980\/13 = 0?\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.26*-5.\nAnswer: 106.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + 87. Let m be f\/9 + (-42)\/(-189). Let x(a) = -2*a**2. Let h(n) = 19*n**2 - 5*n + 6. Let r(b) = m*x(b) + 2*h(b). Factor r(q).\nAnswer: 2*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -863?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 6) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.02 to the nearest integer.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (-8 - 96\/(-28)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 49\/14147234?\nAnswer: 49\/14147234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2916\/5 in 0.2, 3\/2, 0.4, -3\/53, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11582, -46556, -104922, -186680?\nAnswer: -291830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04773 take away -26522909?\nAnswer: 26522909.04773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 times -0.038?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41497, 41462, 41427?\nAnswer: 41392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(-1)\/((-28)\/(-8)). What are the prime factors of 4 - -6*(-9)\/j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 14 = 2*d, -2*z + 2 = -2*d + 4. Suppose u - 10 = -z. What is the remainder when 21 is divided by 14 + (-1 - -4 - u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, 3, 116.\nAnswer: -5, 3, 23, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b + 93. Let c(y) = -14*y + 88. Calculate 4*c(r) - 3*i(r).\nAnswer: -14*r + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from xdqedeedxeqxxdexqee.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and -71\/266.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:16 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249338746 divided by 4.\nAnswer: 124669373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2968123*166.\nAnswer: -492708418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 - -6 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*b + 2*s + 1, -5*s - 24 = -3*b. Let x = -3 + 6. Suppose 2*t + x*c = 10, -5*c + 16 = 3*t + 2. Calculate the remainder when t is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123.5 - -110. Let h = -25 - -12. Let f = h - d. Put f, -1, 0.1 in increasing order.\nAnswer: -1, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 22 + 54 = 0. Let b(n) = 8 + 25*n**2 - 16*n**2 - 10*n**2 + 4*n. Calculate the remainder when o is divided by b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4081 - 4618. Which is smaller: -538 or v?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d994 + 2?\nAnswer: -4d992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, g: 1, h: 3, d: 3, y: 2}. Give prob of sequence dnh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -4)\/(3\/2 + -4). Let c(f) = 11*f - 23*f**w + 12*f + 2 - 23*f. Let m(b) = -2*b. Give m(c(q)).\nAnswer: 46*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 96\/1453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 + j + 2. Let o be f(2). Which is the smallest value? (a) -4 (b) 1\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 318420.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*k = -197, 0 = -2*v + 3*k + k + 92. Let c be (-1)\/((-3 + 2)\/2). Suppose 0 = -c*a + 10. Calculate the remainder when v is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = 5*k, 2*n - 6 = n + k. Let m be (-8)\/n - (-5 - -1). Factor i**2 - m - 3*i**2 - 4*i + 0*i**2.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + -2 + -12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 22 = -2*m, 5*g - 44 = m + 11. Suppose -5*a - g = 9. Is (-199)\/a - (-15)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 - 5055 = 304*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -1083. Suppose t = 7*a - 3*a. Suppose 0 = f - a + 84. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102.02 - 107. Let w = 5 + f. Let x = w + 0.38. Which is the second biggest value? (a) 2\/19 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 44, 3 in descending order.\nAnswer: 44, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111008.069 - -110958. Let d = 50 + j. Round d to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/26*4\/3. Let a = -492 - -491.7. What is the nearest to -1 in a, 5, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 + 3*x + 2. Let n be g(-1). Suppose -5*i - 3*z = 18, 5*z = 3*i - n + 7. Is (-2)\/(i\/(2445\/10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220294525745\/1628 + -135316037. Let a = -2\/407 + u. Find the common denominator of a and 115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41703*b**4 + 2*b**3 + 76121*b**2?\nAnswer: 1000872*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 13*v - 42. Determine p(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40 - -107)\/(11*7) - (-4)\/(-28). Suppose 8\/11 - h*x + 2\/11*x**2 = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (89 - -60) + -78.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -153885*-0.1\nAnswer: 15388.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389765433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 6b330?\nAnswer: -6b330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033912 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1001*y + 28036. What is x(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 + -1.75. Suppose -4*h = h + 20. Let u be h\/14 + (-17)\/(-35). Put q, u, 2\/7 in decreasing order.\nAnswer: 2\/7, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1085360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y. Let j be 1\/(-3 - (5 + 7300\/(-912))). Let o(i) = -470*i**2 + 231*i**2 + j*i**2. Determine x(o(b)).\nAnswer: -99*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -121 in increasing order.\nAnswer: -121, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2564*t**2 + 17768*t + 334981. What is z(2557)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945357678?\nAnswer: 2, 3, 1637, 32083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrlvbllvvvrlvvbll. Give prob of sequence ll.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + 1*sqrt(128) + (-2 + sqrt(128))*-2)*3)**2.\nAnswer: -864*sqrt(2) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**3 - 2*n**2 + 13*n + 14. Let p(a) = -a**3 - 3*a**2 - 1. Let s(f) = l(f) + 4*p(f). Calculate the remainder when s(13) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8438213315 and -3.6.\nAnswer: 8438213311.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-472)\/(-118)*(-110)\/(-22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 191 + -159 + (-2 - (2 - 1))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**5\/z*z)**1\/((z*z**(-3\/13)*z)\/z*z**5))**(-12\/13) assuming z is positive.\nAnswer: z**(-36\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, u: 7}. What is prob of sequence tt?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 549?\nAnswer: 43920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-168))\/((60\/(-88))\/(-5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17313 = 274*d - 12929 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*-1*(-4)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823234?\nAnswer: 2, 411617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 263539 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 88 + 268 = 0. Let l be (d\/16)\/(2\/(-32)). What are the prime factors of l\/(-14) - (-8)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 = -1. Let y(g) be the first derivative of -g**2\/2 + 13*g + 3. What are the prime factors of y(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 612435?\nAnswer: 612450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 1, p: 6, v: 1, g: 7}. What is prob of sequence ypy?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 - 2*u**2)*(0*u**2 - u**2 - u**2) - 3*u**4 + 0*u**4 - 2*u**4.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 55714758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 1172*s - 40970\/7.\nAnswer: -2*(s - 4097)*(s - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -560770*n**2*o**4 + 97*n**2*o - n**2 - 2*n*o**2 + n + 8*o**2 wrt o?\nAnswer: -13458480*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1223 (b) -6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + 1.01. Let t = -5 - -2. What is the closest to k in 1\/2, t, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 15 = -4*u + 5*g, 10 = u + 2*g. Suppose -u*m = -3*n + 174, 29*m = 30*m + 3. Calculate the highest common factor of n and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 21 + 35. Let k = 30 + x. Suppose -222 = -3*g - 3*f, -4*g + 3*g = k*f - 69. What is the remainder when g is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = 58 - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = 2*d + 68*m, -4*m = -5*d - 28888 + 28881 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170933.5ug to grams.\nAnswer: 0.1709335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - -4) + 1 + -4)\/(-2). Solve -r + 5*c = 19, 4*r + v*c + 13 = -c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 15*b**2\/2 - 14*b - 12. Differentiate t(l) with respect to l.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 divided by 11?\nAnswer: 404\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - (11\/32 - 0) and 94\/(-16)*(-162)\/(-126) + 8.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*a - 21556 = 10819 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 - (-34386)\/55. Let h(c) be the first derivative of c**5 + 150*c**3 - 21*c**4 - 500*c**2 + c**4 + 11 + 8 + y*c - 7. Factor h(j).\nAnswer: 5*(j - 5)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*r**0))*r))\/r**(-3\/2))\/((r**6\/r)\/(r\/(r\/(r\/(r*r\/r**(2\/23)*r)))*r)) assuming r is positive.\nAnswer: r**(-249\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27528 - 4889 = -1716*w + 6933 + 24142 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203855849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 - 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 10325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 164*m**3 + 5034*m**2 + 68552*m + 349448.\nAnswer: 2*(m + 19)**2*(m + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-1*(-1 + -1). Suppose -25 = 4*q - 37. Solve 0 = q*r - r - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 0. Suppose -3 - 36 = -3*b. Let l = b - j. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + (-4)\/(-8). Let d be 0 - (-3 + -17) - a. Solve -4*u = m - 19, -2*m + d = 3*u - 6*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-5))\/(22\/(-55)) - 926. Let q = y + 925. What is the nearest to 0.1 in q, -5, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o, 0 = 2*u - 4*o - 148. What is the third derivative of -47*n**3 - 835*n + u*n**2 + 835*n wrt n?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -5 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 17*i + 72. Let h be j(-3). Factor -h*d**2 + 90*d - 6*d**3 + 97 - 97 + 3*d**3.\nAnswer: -3*d*(d - 2)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/46770290 and 137\/70?\nAnswer: 46770290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:02 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 11*v**2 + 12*v - 24. Let s(p) = p**3 + 5*p**2 - 6*p + 12. Let d(y) = 3*o(y) + 5*s(y). List the prime factors of d(-9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.2 + -34.3. Let t = 14 - f. Let l = 0.1 - t. Which is the second smallest value? (a) -5 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305 + 18604\/61. Let w = -78275087\/259093779 + 2\/606777. Let m = r - w. Sort 2, m, -0.2.\nAnswer: -0.2, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -413771.57 and -16?\nAnswer: 6620345.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -491? (a) 4\/9 (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 994.8289 litres?\nAnswer: 994828.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5120*m**3*n**3*t**2 + 2*m**3*n**3*t + 4*m**3*n*t**2 + 2*m**2*n**3 + 6*m**2*n**2*t wrt t?\nAnswer: 10240*m**3*n**3 + 8*m**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -c289d8?\nAnswer: -c289db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 169, 4 in decreasing order.\nAnswer: 169, 17, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-154)\/28)\/(1\/(-12)*3). Let v = 73 - 50. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -15*d**3 + 1 + 14*d**3 - 7. Let j(u) = 7*u**2. Determine k(j(r)).\nAnswer: -147*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -6. Let b(k) = 2*k + 5*k - 7*k + q*k. Let t(l) = l. What is t(b(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3610938352.\nAnswer: 2, 7, 32240521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 98. Let v = 29 + f. Let m = -27 - v. Sort -9, -4, 1, m in increasing order.\nAnswer: -9, m, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31658690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/6 + 5*i**2\/2 + 12*i. Let u be q(-8). Let o be -1*(-16)\/6*u. Is -9 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*l - 128*l - 26016 = -168*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3568 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40\/14)\/(8\/140). Let x = 72 - y. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b1a9 (base 15) in base 4?\nAnswer: -232033020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 2 - u**2 + 112*u - 4*u**2 - 112*u.\nAnswer: -9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74917838 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99752.\nAnswer: 2, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143\/3 - 49. Let k = 20 - 25. Let f be (-6)\/(-18)*(-6)\/k. What is the closest to u in f, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhhffcfhf. Give prob of picking 3 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104\/45519 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -223770 and -1?\nAnswer: 223770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.2247427?\nAnswer: -0.8989708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 2093.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 5 = i. Let t be (-15)\/5 - -2*i. Let o be t\/3 + (-21)\/(-9). Solve -2*h - o = h + 4*p, 0 = -h + 5*p + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d + 71*d + 80*d + 56*d - 244*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/21010 and 89\/42130?\nAnswer: 8046830","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 1180 = -949. Which is smaller: -23 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5 + 960*x**3 - 5532*x**2 wrt x.\nAnswer: 120*x**2 + 5760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/416)\/(-4*147\/(-112)).\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**2 + 91*m - 22. Determine u(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**7\/945 + x**6\/90 + 13*x**5\/270 + x**4\/9 + 4*x**3\/27 + x**2\/2 - 7. Let y(u) be the second derivative of o(u). Factor y(k).\nAnswer: 2*(k + 1)**2*(k + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.1 + 7. Let x = f - -0.1. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 406*h - 3. Let q be u(-10). Let k = -2319 - q. Is k + 2 + 1 - (-4 + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 6. Suppose -2*q = 5*b + 28, -2*q - 5 - 3 = 0. Let h be m(b). Solve 3*y = -4*d - 15, 0*d + 4*d = -2*y - h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + 0*q**3 - 2*q**3)*(-q**2 + q**2 + 2*q**2) - 2*q**2 + 2*q**5 + 2*q**2 + (-q - q**2 + q)*(2*q - 2*q - 2*q**3) + 60*q**5 - 15*q + 15*q.\nAnswer: 68*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 3, y: 15}. What is prob of sequence yy?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -5. Let r be 32 + 4\/a*2. Let h = -12 + r. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145621135 (base 7) in base 12?\nAnswer: 3324314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3964*n*u**3 + 3*n*u + 4*n + 69869*u**3 - 3*u**2 with respect to n.\nAnswer: -3964*u**3 + 3*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 13017 + 13017.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 1 e when three letters picked without replacement from {b: 2, s: 4, r: 1, l: 1, e: 3, f: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1372\/360 + ((-8)\/18)\/4 and -21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/15)\/(1\/5). Let u = 0 + v. Suppose 0 = -u*b + 40 - 1. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 17970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15617\/36 - 3902\/9. Let b(n) = -n**3 + 11*n**2 - 9*n - 11. Let a be b(10). What is the common denominator of c and a + -1 - 138\/(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*k + 6. Let g = 1002.5 - 1000.5. Which is the third smallest value? (a) k (b) 0.2 (c) g (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8193 is divided by 3586.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r. Let m = r - 3. Put m, 0, -4 in descending order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 979 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 6. Suppose j*a = 6*a - 12. Suppose 37 - 4 = a*y. Calculate the greatest common factor of y and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/161265 and -33\/256370.\nAnswer: 9998430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/(-12) + (-2)\/(-8). Suppose i + 4 + 0 = 0, -4*n - i + 12 = 0. Put x, n, 5 in descending order.\nAnswer: 5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116278 + 55278. What is r rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2205 + 2913. Suppose -24*r + 4*l - z = -29*r, 4*l = 8. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -74.44 and -0.16.\nAnswer: -74.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/27, 3, 4 in descending order.\nAnswer: 4, 3, 2\/27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - i + 34. Let s be v(0). Suppose -n - n = -5*a + s, 2*n = -a - 22. Let j(k) = k**3 + 12*k**2 - 3*k + 7. Is j(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*z + 31*z - 12, -3*m - 24*m = 2*z - 100 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u - 210 = 2*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 384, 1 in descending order.\nAnswer: 384, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 - 3e2?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 34 - (35 + -4) - (103 + 2).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 5*r**2 + 2746*r - 13865. What is s(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 9*l**2 - 557*l - 5769. Give z(-10).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 855 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let k(c) = 15*c - 50. Let l(q) = 4*q - 12. Let i(n) = 6*k(n) - 25*l(n). Let s(h) = -i(h) - 3*m(h). Let w(a) = 2 - 2 + 3*a. What is s(w(y))?\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 4. Let t be j(2). Suppose -t*r = g - 2, 5*r - 3*g + 2 = -2*g. Find the third derivative of -2*o**3 + r*o**3 - 2*o**3 + 3*o**2 + 3*o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20570677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8074, -8090, -8124, -8182, -8270, -8394, -8560?\n\"Answer: -n**3 - 3*n**2 - 8070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 2100*d - 2104*d - 106 = 0, -5*o = -5*d - 105 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 2 - 289*p + 1 + 276*p.\nAnswer: -13*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (11 + -8 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:54 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**27*d\/(d*d*d**(-26)))**(-5\/6))**(-7\/5))**(-16) assuming d is positive.\nAnswer: d**(-2968\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-852)\/(-24) + 2\/4. Suppose -t + 5*g = -0*t + z, -g + 300 = -5*t. Are t and -62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - sqrt(19)) + -3 + -5.\nAnswer: -8 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 4*x**2 + 5*x + 4. Let q be s(4). Suppose -3*u - u = -q. Let c = -12 + u. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201435636?\nAnswer: 2, 3, 16786303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 65, 51, 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 6452 in increasing order.\nAnswer: 0, 1, 6452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16 = -3*k - 0, 10 = 5*u + 5*k. Suppose -u*l + 7 + 13 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 117 + 66 + 1311*y)*(4*y + 0*y - 2*y).\nAnswer: 2622*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 16 - 4. Suppose -v*k = -7*k + 42358180. Let p = -3589545 + k. What is p rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - 136*m**2 + 42*m - 257. Calculate r(-46).\nAnswer: 2043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/(-3) + 8 + 10. What is the nearest to 0 in -22, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 50*i**2 - 5*i + 1. Let y be x(6). Suppose -y = -w - l, 4*w - 7081 = 3*l - 4*l. Round w to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36376 divided by -18188.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2110965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245.299999143 - 245.3. What is y rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-6)\/7 - (0 + -1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t - 53*t - 2 + 3 - 46*t.\nAnswer: -75*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**8)\/v)\/((v**(4\/3)*v)\/v))\/(v**0)**(1\/43) assuming v is positive.\nAnswer: v**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284.1 + -284. Let x = 95.8 - 96. Sort 2\/3, l, 3, x in descending order.\nAnswer: 3, 2\/3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h**3 + 11*h**2 - 28. Let d(n) = 9*n**3 - 6*n**2 + 14. Let p(k) = -6*b(k) - 11*d(k). Differentiate p(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -82, -124, -166, -208?\n\"Answer: -42*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 12 = v, -488*c = -8*v - 493*c + 89 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-20)\/6 + 2). Let y(d) be the first derivative of o*d**2 + 2 + 0*d - 2\/3*d**3. Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/205755650 and -41\/100?\nAnswer: 411511300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 11*i**2 + 10*i + 6. Let y be b(-10). Let z be -2*y\/3*1200. Round z to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96099 = 4033*h - 57155 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 2*x**3 + 2*x**2)*(1586*x + 177*x**2 - 1586*x).\nAnswer: -354*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(2\/23)*k*k)*k)\/k*k)\/k**(-10)*k\/(k**8\/k)*k**(-9))**(-3\/4) assuming k is positive.\nAnswer: k**(351\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 42*n + 1194. Is 24 a factor of h(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 169*q**2 + 0)*(1 + 0 + 0)*(3 - 4 + 2).\nAnswer: -169*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(7) - ((sqrt(9)*-1)\/sqrt(3) - sqrt(3)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -638.3695 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c**2 - 45*c**2 + 43458*c**3 - 86918*c**3 - 47*c**2 + 43468*c**3 + 143*c**2.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 149. Suppose 7*n - r = 2*n. Suppose 5*y = -n, -y = 2*g + y + 146. Round g to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -0.2. Let s = 0.47 + -5.07. Let z = 5 + s. Which is the nearest to 0.1? (a) w (b) 4\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzvjzzzzmkk. Give prob of sequence jzm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -656319, -656316, -656313, -656310?\n\"Answer: 3*m - 656322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p + 68*p - 6 = -v, -5*p = 2*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -13*f + 4. Suppose 0 = -10*p + f + 6. Let j = 1 + 0. What is the remainder when p is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/3 + 17*y + 106\/3.\nAnswer: -(y - 53)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 54469 + 3*l + 54471 - 5*l + 63*l**2.\nAnswer: 63*l**2 - 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0. Let i = -2205 - -2181. Sort n, -3, -5, i.\nAnswer: i, -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-127)\/(-43) - 45565\/331573?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 996 + 83 = 0. Let y = 85 - m. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1280056 and -49\/108684.\nAnswer: 11520504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = f - 12499, -3*w - 195 + 189 = 0. What are the prime factors of f?\nAnswer: 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.9. Let a = 161\/2 + -82. Let v be (-2)\/24*16\/6. What is the closest to 1\/3 in a, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2824726476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - (-190)\/(-30))\/(1\/3) - -561. Is h at least as big as 561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -10071 + 9996. Let q(g) = -g - 4. Let x be q(3). Let r = x - -9. Solve -d*m + 5*h - r*h = -21, 8 = -m - 4*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-14)\/36*52\/(-273).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s + 6. Let l be (17\/2)\/(s\/8). Is (10 + 4)*l\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**2 + 3. Let d(p) = -4*p**2. What is h(d(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.1 - -64. Let d = 14 - 19. What is the smallest value in 7, d, p, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257511843?\nAnswer: 3, 28612427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 99795.14 millennia in months?\nAnswer: 1197541680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddud. Give prob of sequence dd.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 99. Let w be g(33). Suppose 5*h + h - 2874 = w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 - -8 - (14 - -6) - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10334 divided by 2\nAnswer: 5167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/4*100\/(-125).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*i**3 - 3)*(76 - 76 - 22*i**2).\nAnswer: -44*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.71 + -0.29. Suppose 0 = 4*n - 5*n + 3. Which is the nearest to i? (a) -3 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3 + 0*f**4 + 4\/3*f**2 + 0 - 2\/3*f**5 + 0*f = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:11 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1825 and 46175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35d - -8?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3194, -0.4, 1\/3, 8\/5 in descending order.\nAnswer: 8\/5, 1\/3, -0.4, -3, -3194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.991793 times 5?\nAnswer: -9.958965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-8))\/((-38 - -33) + (-1091)\/(-218))?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6 - 28079614.10538?\nAnswer: -28079620.70538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/((-4)\/(16\/(-7)))*693\/132?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 265*m = -3192. Calculate the smallest common multiple of m and 12858.\nAnswer: 25716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 times -113.239\nAnswer: -64.54623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 5*j + 22, 3*c - 19 = 2*j. Is c\/(-1)*11\/(-9)*57 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 291424 = -3*q, -4*q - 388564 = 2*x - 0*x. What is q rounded to the nearest one thousand?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11223431 (base 5) to base 14.\nAnswer: 29113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 + 28*t + 10. Let l(s) = -s**3 - 9*s**2 - 9. Let h be l(-9). Is c(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*-1))))*-5 - -1*-1*sqrt(77))\/(3*-3*sqrt(14)\/sqrt(2)))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3780 and 35560.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1575254?\nAnswer: -1575253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -770 - 409. Let j = 3026 + x. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27162 = -3658*b - 13076 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4 and 91\/102924.\nAnswer: 102924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*w**4 - 180*w**3 + 2*w + 178*w**3 - 3*w**2 - 5*w + 5*w + 2 to the form m*w**2 + g*w**3 + i + v*w + h*w**4 and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 2.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (105\/36 + -3)*(-4 + 2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(200)*6 + -2)**2 + -5.\nAnswer: 480*sqrt(2) + 28799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 9*o**2 + 50*o + 449. Give g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -979 - -961. Let w = 15\/8 + -27\/8. What is the third smallest value in w, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16112698 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -2025\/58 and -34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s**2 + 14*s - 14. Let f(n) = -n**2 - n + 1. Let z(w) = 70*f(w) + 5*o(w). Let v(r) = -2*r**2. Determine v(z(i)).\nAnswer: -200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103311, 103306, 103301, 103296, 103291, 103286?\nAnswer: 103281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12377.75 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3 - -3)*3. Let l = 14 + -13. Which is the nearest to l? (a) -2 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, 1\/10, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.012 + 46. Let f = -2.012 - s. Which is smaller: -1.8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(5\/2)*((m*m\/m**9)\/m)\/m*m**10 assuming m is positive.\nAnswer: m**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 188952828 and -0.4?\nAnswer: -75581131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + s. Let a = 4 - 3. Let d be l(a). Suppose -d*j = 3*b - 24, 0*b + 28 = j + 5*b. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 19 - (-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 226030?\nAnswer: -226034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1514*j - 195489 = -1589*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3239740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (2 - 79 - (-22 + -5))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + 10644808*v**3 - 37770628044258*v**2 + 44673348811471564896*v + 223367688324389532555 = 0 for v.\nAnswer: -5, 3548271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24448759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-77))\/(-15 + (-1863)\/(-126))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0. Let p = -0.6 - d. Let g = 0.12 + -4.12. Which is the third smallest value? (a) p (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 456*n**3 + 123*n**3 + 1020*n**2 + 221*n**3 + 620*n**3 wrt n?\nAnswer: 8520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 560*d**3 + 5*d**2 + 560*d.\nAnswer: -5*d*(d - 1)*(d + 1)*(d + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67454569.\nAnswer: 7, 13, 151, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.85 + -1.05. Put -2\/9, p, 1 in ascending order.\nAnswer: -2\/9, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-2*sqrt(18)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 11. Let j(m) be the third derivative of 0 + 4\/3*m**3 - 3\/8*m**4 - 4*m + 1\/60*m**5 - m**2. Calculate j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 1023*k - 52. Let l(o) = -15*o. What is c(l(f))?\nAnswer: 225*f**2 + 15345*f - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 20, 1 in descending order.\nAnswer: 20, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(6\/(-8))\/((-3)\/(-2)). Suppose -5*v - x + 98 = 2*x, -4*v + 4*x = -72. Let r = v + -19. Put r, i, -4 in descending order.\nAnswer: i, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 88*c - 136*c. Let y = 0.17 + -0.01. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177\/2*r + 51\/2 - 21\/8*r**2 = 0. Calculate r.\nAnswer: -2\/7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(208) + sqrt(13) + (sqrt(13) - -5*sqrt(468) - sqrt(13)).\nAnswer: 47*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:19 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094000985 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmqqmqqmqqmmqqqmq. Give prob of picking 4 q.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - (-101745)\/(-1260) - (-1)\/((-2)\/(-14))?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*j + 37 = 29, 0 = y + 4*j + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11\/q)\/((q**(-2\/99)*q)\/q) assuming q is positive.\nAnswer: q**(992\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 750 + -32.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**7\/2520 - d**6\/144 + d**5\/30 - d**4\/12 + 6*d. Let o(u) be the third derivative of b(u). Let a be o(4). Is -2\/21 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 d when three letters picked without replacement from ttfdbfbaftjt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 2\/((-24)\/68). What is the nearest to -2 in g, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -62\/761, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - f = -503, d + 3*f - 262 = -2*f - 279 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1853\/384 + -29\/6. Let r = 253\/384 - y. Factor 4\/3 - r*b**2 - 2\/3*b.\nAnswer: -2*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03963 - 2.44067. Let l = 2.4 + h. What is l rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35618 - -35617.978995. Round h to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, -3, -510666 in increasing order.\nAnswer: -510666, -21, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 281563383 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 911 + 2190. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23272?\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3\/5, -5, 4, 0, -63, -11 in decreasing order.\nAnswer: 4, 0, -3\/5, -5, -7, -11, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1717955 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 208*b**3 + 2*b - 2*b.\nAnswer: 208*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 205318889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057*r + 1057*r - 49*r**3.\nAnswer: -49*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -321 + 7?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.6, -0.104, 0, -1\/2 in increasing order.\nAnswer: -1\/2, -0.104, 0, 5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346019 and 96638.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12426, -12413, -12400?\nAnswer: -12387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 1.2324, 0.4, -4.4, 3 in descending order.\nAnswer: 5, 3, 1.2324, 1, 0.4, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525702?\nAnswer: 2, 3, 41, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 0*z - z**3 - 5*z + 9*z - 8*z**3 + 68.\nAnswer: -9*z**3 - z + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 5*u + 4. Calculate the least common multiple of 5 and l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -209639.357 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.05 (b) -3 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 12\/10 + (-4)\/(-5). Let q = 2 - -4. What is the second derivative of -2*d + i*d + 10*d + q*d**2 + 8*d**2 wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*x - 6 - 42, 0 = -5*i + 5*x + 50. Is 14 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4, 5*u + 2*a - 23 = 3. Suppose 8*y = -18 - u. Let t(p) = p**2 - 1. Let o(b) = -b - 1. Let g(s) = y*o(s) + 3*t(s). Suppose g(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 - 0 - (-10)\/(-27)*-6. Solve s*n = 2*y - 4, -6*n = -7*n - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26347138.\nAnswer: 2, 29, 317, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:15 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:46 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 179*f + 3 = -173*f, 3*j - f = -4 + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from cqsqsqqqyyqqqqyqsy?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 + 284*d\/13 - 720\/13 = 0. Calculate d.\nAnswer: 4, 90\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-6)\/50*-10*(20\/(-8))\/(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*i - 2 - 1 = 0, 111*u - 8*i + 61 = 114*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 16865*o**3 + 14577285*o**2 - 596727675*o + 582167250 = 0. Calculate o.\nAnswer: 1, 42, 1665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {g: 4, i: 12, y: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0089849 rounded to four decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/7 (b) -41 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 15*f = -5*z - 30, 12 = -3*z. What is the nearest to -13\/8 in f, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(-8\/9)))*s**(-6\/11)\/s)**(2\/3))**(-16))**6 assuming s is positive.\nAnswer: s**(9088\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111561567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (0 - 0 - -2). Let i = 52.832 - 48.832. Which is the third smallest value? (a) 25 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-420)*(18960\/(-2448))\/(-79)\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d**2 - 13*d**2 + 3*d**3 + 2*d**3 - 20 = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 835*t.\nAnswer: -t*(t + 835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -49*w**4\/9 - 308*w**3\/27 - 64*w**2\/9 - 16*w\/9 - 13. Factor l(f).\nAnswer: -4*(f + 1)*(7*f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5084*n**2 + 549074*n - 210. Give h(108).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 24 + 16*r + 16 as c*r + w and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353622.\nAnswer: 2, 3, 58937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.09 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let x(t) = t - 3*t - 12 + w*t. Let y be x(-9). Solve -4*z = 26 - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -78*a**2 + 4*a - 18. Let h be n(-6). Let k = 62731\/22 + h. Let b = -12369\/22 + 562. Calculate the common denominator of k and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1919*s - 231 = 1916*s. Suppose -u - u + 166 = 0. Let h = u - s. Solve -5*p - 18 = -c, c + 2*c + h = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 136, 126, 118?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*a = 85, -41 = -3*f - 104*a + 105*a. Let j(p) = -12*p + 144. What is j(f)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03213 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92407600 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2152283733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 4*t + 34. Determine x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 490533.\nAnswer: 1471599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 15675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - j + 12, 0*v + 4 = 3*v + 2*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)*x)\/(x**(-1\/33)\/x) assuming x is positive.\nAnswer: x**(56\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 659, 658?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 + 1.295\nAnswer: 3.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 727966558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 462, 909, 1344, 1767, 2178, 2577?\n\"Answer: -6*m**2 + 465*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144504 = -1375*q - 409*q for q.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rje when three letters picked without replacement from {l: 1, r: 1, j: 1, t: 3, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195483 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -74 - 38. Suppose -u*i = i - 30. Solve 3*o - 3*d = 27, -i*d = -5*o + 16 + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19841231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b + 3*b)*(0*b**3 + 0*b**3 - 2*b**3)*(1 - 4 + 1 - 2 + 0 + 0 + (-2 + 3 + 1)*(3 + 0 - 2) - 1 + 2 - 3 - 2 + 4 - 1).\nAnswer: 24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10620 + 10620 + 13*h**4 + 13*h**4 - 5*h**4 - 20*h**4 + (-2*h**3 + 3*h**3 + h**3)*(-4*h - 2*h + 4*h) to o*h**4 + c + d*h**3 + n*h + f*h**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1483, 11011, 36897, 87325, 170479, 294543, 467701?\n\"Answer: 1364*k**3 - 5*k**2 - 5*k + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-8)\/14*-7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -x + 3*x. Let y = -5 + x. What is the third derivative of -y*c**4 + c**2 - 3*c**2 + c**4 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + i**2 - 20*i**2 + 9*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.2 - 15. Let s = 3550 - 3549. What is the third biggest value in s, w, -4\/3, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:56 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75269 + 68455 = 7*y. What is the greatest common divisor of 174 and y?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1186.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -1055, 2, -507.\nAnswer: -1055, -507, -4, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.24 times 1535\nAnswer: -1903.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -213, -180, -153, -132, -117, -108?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n - 13. Let j(x) = -15*x + 10. Let w = 67 - 72. Let f(k) = 10*k - 7. Let p(i) = w*j(i) - 8*f(i). Calculate 7*p(b) + 3*z(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0.3. Let t = -21.1 - -10.8. Let j = 10 + t. Which is the nearest to 1? (a) 4 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*o + 132, -19*d = -16*d - 18. What is the greatest common factor of 5423 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6326, -6443, -6682, -7043, -7526, -8131?\nAnswer: -8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/8, 1020, -0.3, 7428?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 - 2*d**2 + d**2 - d - d**3 + 0. Let c = -16 + 16. Give x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, n: 2, t: 3, u: 4, a: 3}. Give prob of picking 2 i and 1 a.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612433 is divided by 8831?\nAnswer: 5191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2 - 5. Let b(n) = -n**2. Let h(p) = -6*p**2 - 7*p + 7. Let t(r) = 3*r**2 + 4*r - 4. Let k(x) = -4*h(x) - 7*t(x). Give d*b(u) + 2*k(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5035 and 3323860?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g + 3 - 6*g + 3*g. Let v(m) = m**2 + 9*m + 4. Let w be v(-8). Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 0, -4*j = 5*p - 3*j - 15. Suppose 4*l - 3*i - 1 = -5, 0 = -5*l + 5*i. Which is the closest to 1\/4? (a) l (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 9, w: 2, e: 1}. What is prob of sequence ww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2333 by 1.\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1 + 17*b - 2 - 2 - b**2. Let f be c(7). Let z = -32 + f. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 41. Let w = b + -13. Solve w*q + 2 = -23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0)*9\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 205678, 205676, 205674, 205672?\n\"Answer: -2*w + 205680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*o. Suppose o*h = 4*z - 15, -15 = -5*z - 2*h + 5*h. Solve z = -2*s + s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**3 - 5*g**2 + g + 5. Let b(i) = 8*i**3 + 6*i**2 - 6. Give -6*a(l) - 5*b(l).\nAnswer: 2*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-340)\/(-204)*(498\/581 + 886\/(-1050))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from phqqp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 186, 591, 994, 1395, 1794, 2191?\n\"Answer: -h**2 + 408*h - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**3 + v**2. Let s(m) = m - 8. Let b be s(7). List the prime factors of i(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -0.2 (b) -2\/9 (c) 3 (d) 3\/4 (e) -108.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 6*h**2 + 6*h. Let f(g) = -9*g**3 + 17*g**2 - 17*g. Let u = 15 + -11. Let n be 4 - (-8 - 0)\/u. What is n*f(v) + 17*t(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 13 - 307*t - 14 - 14 in the form m + f*t and give f.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 9*f**3 + 4*f**3 - 9*f**2.\nAnswer: -5*f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -15 - 8) + (9 - (21 - 4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 4. Let z = -105 + 208. Suppose -4*r = -c*l + 76, 4*r + 3*l = -2*l - z. Calculate the common denominator of -59\/5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1925634 by 1.\nAnswer: -1925634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 + 2*w**2. Let d(z) = 23*z**2 - 7. Let k(l) = -45*l**2 + 13. Let r(n) = 7*d(n) + 4*k(n). Determine r(y(b)).\nAnswer: -19*b**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 970802179 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85)*1 - sqrt(85)))\/(-1*sqrt(405)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(-72)\/(-16). Let o be 15 + -19 - 10\/1. Let g be o\/(-16)*8\/28. Which is the closest to 0.1? (a) 0 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f878 + -15?\nAnswer: -f88d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71664161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 6*y + 47. Let h be b(-8). Find the third derivative of 2 + 703*z**3 + 4*z**4 - 697*z**3 + h*z**2 - 2 wrt z.\nAnswer: 96*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1896279*2.1\nAnswer: 3982185.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)*s*s\/s**(1\/4))\/(s\/s**(1\/28)*s**(-2\/9)) assuming s is positive.\nAnswer: s**(-41\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -394 + 555. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -11, 6, -0.02, 781, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*o = -785 - 4306 - 7168 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = 0, -38 = -x - 0*b - 2*b. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 11*a - 35. Let c be z(-4). Suppose -393*y + 392*y + 29 = 0. Solve c = y*i - 34*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12499 = -2*u + 7*u + h, 4*h = -u - 2496. Let m be (1 + -5 - -17964)*u. What is m rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or 940?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/44*950\/570?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594467907 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 355640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 6*c - 268 = 0. Let j = 156 + c. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 173300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -198, -199?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -1 (c) -3\/35 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 5*k = -12. Let c(q) = 4*q - 5. Let x(m) = -1. Let a(g) = k*x(g) + c(g). Let f be (1\/(-1 - -2))\/1. Calculate a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62966162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 11 - 1 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:55 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.4, 1142276, -1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:16 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 287963, 575956, 863979, 1152038, 1440139?\n\"Answer: x**3 + 9*x**2 + 287959*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 31*i - 172. Let t be a(7). Calculate the highest common factor of 60 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 + -2. Let m = -0.0915 + 0.0636. Let s = m - 2.9721. Which is the nearest to s? (a) -1 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/24? (a) 0.5 (b) 3 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2\/5 (c) 18\/11 (d) -0.3 (e) 5\/13 (f) -1 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96930242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 18*m. Let i(w) = -72*w - 6. What is y(i(f))?\nAnswer: 5184*f**2 + 2160*f + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l - 4*p - 82 = 0, 3*p + 164 = 4*l. Suppose 2*x = -5*t - 30 + 143, 5*t = -4*x + 111. Let i = t + l. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-3 + 1 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*n**5*r + 10*n**4*r + 10*n**2*r - 16*n**2 + 2*n wrt n.\nAnswer: -1200*n**2*r + 240*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 864098748 to the power of 1\/2, to the nearest integer?\nAnswer: 29396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79965 is divided by 292.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 2150397 = 122*x + 2009248. Round x to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (20 + 1 - (120 + -201 + 82))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/3)*g**2*(g**0\/g)**(-23)*g\/(g*g**(-2\/9))*g**(2\/3)\/g*(g*g**0*g)**(-27) assuming g is positive.\nAnswer: g**(-259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 1, f: 2, j: 1, z: 1, c: 2}. Give prob of picking 1 f, 1 g, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 6:40 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00633 + 0.05196. What is i rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 230187*f**2 - 3324*f + 12.\nAnswer: 3*(277*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*o**2 + 2*o - 27.\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 81*p - 10477. Give l(129).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 1.8. Let r = 11.5 - 11.4. Sort q, -2\/7, r.\nAnswer: q, -2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51298.71888 - -35.\nAnswer: 51333.71888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 24.7811 - 5?\nAnswer: 19.7811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-15))\/((-2)\/5). Suppose -n = -4*q + 8, 2*q = n - 1 + 5. Suppose n = -0*a - p*a + 4. Solve -a*h - k - 2 = 2, 15 = -3*h + 3*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837148 + 3*z - 6*z - 837148 + z + 3*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + ((-4 + sqrt(128) + -4 + sqrt(128))**2 - (-4 + (sqrt(128) - (sqrt(128)*1 - sqrt(128))))) + -2 + 0).\nAnswer: -3438 + 1584*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*u - 4*o, 0 = -2*u - 3*o - 8 + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r + 3351071 = -7911431. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 22*i + 98. Calculate l(-20).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or 14.2?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -2*v**4\/3 + 97*v**3\/6 - 122*v**2. What is the first derivative of q(i) wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*s, -60*y + 57*y - 2*s - 8 = 0. Let j be (4 + 0 + 2)\/(-2). Put -1, j, y, 57 in ascending order.\nAnswer: j, -1, y, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h + 1\/3*h**3 - 1\/2*h**2 - h**4 + 134. Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61 and 549?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Suppose 0 = -p - 0*p - 5*a + 25, 4*p - 20 = -4*a. Let g be (8 - 498\/63)*1. What is the third biggest value in g, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 9. Let v(h) = 3*h**2 - 59*h - 257. What is the lowest common multiple of v(-4) and y(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 6. Let k be a(3). Suppose 5*d + 104 = 3*r, -4*r + 128 = -d - k*d. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-1) + (172\/(-4) - (-3528)\/72).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/22 - 1) + (-900)\/(-132). Calculate the greatest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (8 - 5 - 4))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 8 = 46*u - 2 - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + n + 11 = 0, 0 = p - 5*n - 7. Suppose p*w - 10*w - 8 = 0. Which is smaller: 4\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d + 3*p, -28 = -3*d - 0*d + 4*p. Let n(a) be the second derivative of a**4\/12 - 2*a**3 - 2*a**2 + 927*a. Determine n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 871040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + d - 163 = 0, -3*v - 5*d + 127 = 26. Suppose -4*c + v = 14. Factor c*i + 2*i**2 + 3*i - 8*i.\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 122*d**2 - 97*d - 1336. Calculate o(62).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77003, -154119, -231235, -308351?\nAnswer: -385467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 24*b - 19. Let i be h(-23). Suppose 0 = 3*p - 3*z - 3, 5*p - i*p = -z + 3. Solve g - p*x - 4 = -g, 4*x = g - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 10*o**2 + 38*o - 240. What is t(8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 43817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 + -1.76. Let a = 0.14 - o. Let r = -0.5 + 1. What is the biggest value in a, 1\/8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/15)\/(2\/(-5)). Let f(r) be the third derivative of -1\/8*r**4 - 1\/60*r**5 + 0*r + 0 + 4*r**2 + 1\/6*r**3. Determine f(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11826860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i**3 - 24036*i**2 - 43216*i - 19200 = 0 for i.\nAnswer: -1200, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2577*q - 2274*q + 2634 = -5290*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -237. Suppose -n + 4 = 0, 6*a + 2*n = 2*a + v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*s - 2*s. Let v(i) = i**2 + 6*i + 5. Let u be v(s). Suppose g + u*g = 3*r + 20, 0 = 2*g + 2*r. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8700 and 14090172?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 30. Let s be (-8)\/m + (-12)\/5. Let u be s\/(-3) - 24\/54. What is the smallest value in 3\/5, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -1.35282\nAnswer: 2.05282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 3*o - 42 = 0. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-24)\/140) + 1. Let n = f - -52. Calculate the smallest common multiple of n and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 52 = -3627. List the prime factors of w.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.27404m in micrometers?\nAnswer: 59274040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -65*i + 4. Let w be v(-2). Let u(c) = 53*c + w*c + 15*c - 36*c. Is u(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40669, 81374, 122119, 162904?\nAnswer: 203729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(19)*-1 - (sqrt(1539)*1 + sqrt(1539)))**2 + 4*(sqrt(190)\/(2*sqrt(10)) + 4 + sqrt(38)\/sqrt(2) + sqrt(19)).\nAnswer: 10*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 1:00 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(52) + sqrt(117) + sqrt(13) + -3))**2*4.\nAnswer: -5184*sqrt(13) + 68688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 35 = 5*b, 0 = b + 4*b + 3*i. Let u be (-10)\/b*12\/(-8). Find the second derivative of 2*s**2 - 2*s**2 - 2*s - 2*s**u wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from hhhthpxhlttxtzht.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 11:15 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 5 = 0. Let l(c) = -4*c**2 - 2*c - 5. Let n(v) = -4 + 0 + 5. Let q(b) = k*l(b) - 5*n(b). Find the second derivative of q(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k - 1. Let q(n) = 30*n**2 - 42*n - 279. Let h(g) = 7*b(g) - q(g). Find the first derivative of h(v) wrt v.\nAnswer: -60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3 - (-3)\/(-1). Sort -5, 3, -2, a in decreasing order.\nAnswer: 3, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3531 - 3533. Put -2\/11, -0.4, 0.1, f in increasing order.\nAnswer: f, -0.4, -2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69472.67 nanometers in centimeters?\nAnswer: 0.006947267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c4 (base 15) to base 5.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 1312*q\/13 - 18760\/13.\nAnswer: 2*(q - 670)*(q + 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 219*r - 9897. Give i(57).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13154 + 13141. Put 2\/9, 17, 0.4, x in descending order.\nAnswer: 17, 0.4, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 7\/(14\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2522*s**4 + 2519*s**4 - 85*s + 22*s - 3*s**2 as k*s**2 + c*s**3 + o*s**4 + l*s + j and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159654300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80276, 321109, 722498, 1284443, 2006944?\nAnswer: 2890001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863509 is divided by 494.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3)\/15*-5. Let k be 0 + (1 - b) - -10. Suppose -2*n + n + 25 = 4*q, 2*n + k = 2*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by 7992\nAnswer: -95\/1998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {r: 6, e: 1, x: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let s(z) = -1. Let x(k) = -b(k) + 5*s(k). Let j be x(-6). Let u = 11 - 9. Solve j*h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(425) + 1 + sqrt(425) + -3 - (sqrt(425) - 2*sqrt(425)*4)) + -4)*-3*-3)**2.\nAnswer: -393660*sqrt(17) + 25122069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -1\/6*t**3 + 2*t**2 + 0*t**4 + 0*t - 1\/15*t**5 + 0. Let a be -1 + (-1 - 0) + 1. Give f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 318\/5 - 10\/(-25). Let l be v\/12 + 2\/(-6). Suppose -40 = -10*z + l*z. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 + 526 = 4*l + i, 3*l - 5*i = 241. Calculate the greatest common divisor of 26709 and l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -803.9999647 - -804. What is b rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v = 2539 + 2218 - 697 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-3 - 0)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (-38 + (34 - -49)) - (-12 - 1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009524 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101022 - -20?\nAnswer: -10101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/25, -1\/7, 21.26, -2\/25, -0.2, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 - (6 + -7). Let j be 2\/n*(5 - 0). Solve -5*l - j = 5*g, g + 2 = l - 3*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 10*x = -421. Suppose -7*d = -2*d - 5, 3*t + d = x. Calculate the highest common divisor of 350 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by 57?\nAnswer: 27\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 2:26 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201092?\nAnswer: 2, 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)*107 + 7. What is the greatest common factor of 399 and x?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7062 - -7060. Which is smaller: z or -0.1453?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4121391 and 1965?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 10120*f**4 - 100464*f**3 + 845984*f**2 - 1854208*f + 1290240 = 0 for f.\nAnswer: -2520, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 4*n + 20 = -94. Solve -6*p = -8*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -26*y. Let x(s) be the second derivative of -17*s**3\/6 + s - 803. Calculate w(x(n)).\nAnswer: 442*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-38)\/133)\/(432\/1386))\/((-1)\/(-4))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose s*o - 10 = 2. Suppose 13 = -r + o*r - v, 3*r - 7 = -5*v. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19108*q + 12 = -19120*q. Let l(u) = 1. Let c(w) = 2*w - 7. Calculate q*c(y) - 5*l(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*g - 222 - 5 = -48 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 251.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903 is divided by 183.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9283980948 rounded to the nearest one million?\nAnswer: 9284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - y - 780, -393 = -j + 2*y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 67*d + 8479. Give v(63).\nAnswer: -3680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let h(m) = -209*m**2. Determine h(u(j)).\nAnswer: -209*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 2, m: 1, r: 3, p: 4, g: 6}. Give prob of picking 1 d, 1 m, 1 t, and 1 r.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g + 5*g)*(-69 - 19 + 43) - 2 + 2 - g + 8*g - g - 2*g.\nAnswer: -356*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*((o**(-2)\/o)\/o)\/o)*o*o)\/o**(3\/25) assuming o is positive.\nAnswer: o**(172\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-26)\/325*5)\/((-4)\/5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060150173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, 12, -1\/3, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21058, 21059, 21060, 21061, 21062, 21063?\nAnswer: 21064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f\/f**(-2\/5)))\/f)\/f)*f**(-4)*f)**(-42\/5)\/(f**(14\/9)*f**14) assuming f is positive.\nAnswer: f**(-4256\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than 1158\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 1248749.\nAnswer: 69929944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -69. Let a = v - 31.5. What is the second smallest value in 7\/6, 0.4, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1928312.2 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 2*y + 2. Let u(j) = 8*j**2 + 2*j + 25. Suppose -3*o - 168 = -9*o. Let q(x) = o*v(x) - 4*u(x). Factor q(k).\nAnswer: -4*(k - 11)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 24. Calculate the least common multiple of w and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-4 + (sqrt(1700)*-6)**2).\nAnswer: 1101528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uku when three letters picked without replacement from uurkukk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -13*x**3 - 46*x**2 + 111*x + 284. Let t(c) = -3*c**3 - 12*c**2 + 27*c + 71. Let u(g) = 2*k(g) - 9*t(g). What is u(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeezeoooeeeo. What is prob of picking 1 z and 2 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -56. Let q be (t\/(-300))\/(2\/(-10)). Which is the closest to 0.3? (a) 3 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135831?\nAnswer: 3, 19, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178127739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*f - 340 + 344, -2*f = s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i**2 - 785. Let f(t) = 6. What is -3*f(k) + g(k)?\nAnswer: -10*k**2 - 803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1.2 (c) -0.3 (d) 9473 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 16*q + 30*q - 21 - 82*q + 17*q.\nAnswer: -3*q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4\/q**7*q**(-3\/8)\/(q\/((q\/q**(-3\/2))\/q)) assuming q is positive.\nAnswer: q**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11300 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58620300 to the nearest integer?\nAnswer: 7656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**4 + 13537*b**2*u**2 - 7492*u**2 wrt b?\nAnswer: 12*b**3 + 27074*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 1686 = -6939. Is y a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17807972964212.1999564 + 17807977296709. Let l = 4332498 - c. Let w = 1.2 - l. What is w rounded to 6 decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8739892699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -669590*h**3 - 19*h**2 + 2*h + 4378 wrt h?\nAnswer: -4017540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*i - 9)*(-1 + 3*i + 3 + i) - 2*i + 403*i**2 + 3*i - 5*i**2.\nAnswer: 390*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 910915531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 621829255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.2 and 0.05.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3\/3 - 18. Let i(x) = 80 - 3*x**2 - 5*x - 76 + 5*x. Determine r(i(v)).\nAnswer: -9*v**4 + 24*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172806587 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*w**3*y**3 + w**2*y**2 + 909*w**2 - 2*w*y**3 - 4*w*y**2 - 2*w*y + 26624*y**3 wrt w?\nAnswer: 114*w*y**3 + 2*y**2 + 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36158*r**3 + r**2 + 3*r - 3*r.\nAnswer: -36158*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**4 - 23130*v**3 + 208515*v**2 + 787410*v + 555768 = 0.\nAnswer: -7719, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s, -3*m + 2*s - 198 = -134. Are 5 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1159\/1455 - 1\/291. Sort 4, m, 2\/3 in increasing order.\nAnswer: m, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**6\/10 + w**2\/2 + 5*w. What is the derivative of o(l) wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 23 - 13*j + j**2 - 28 + 13. What are the prime factors of z(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 622778*r + 1868340. Give t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77898714 plus -0.01587?\nAnswer: 2.76311714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11840122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1892150, -1891849, -1891560, -1891289, -1891042, -1890825, -1890644?\nAnswer: -1890505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6103, 6105, 6107, 6109, 6111?\n\"Answer: 2*u + 6101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/(-16))*135\/(-90).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 768.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*v**3 - 94*r*v**2 + r*v - 8166*r + v**3 + 17*v**2 + 86*v - 950 wrt r.\nAnswer: v**3 - 94*v**2 + v - 8166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 86381.26 meters?\nAnswer: 86381260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let t(d) = -185090*d + 101. Give t(c(z)).\nAnswer: 185090*z**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1869, -1871, -1873, -1875, -1877, -1879?\n\"Answer: -2*o - 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/7 + -2\/7. Sort 0.4, x, 13 in decreasing order.\nAnswer: 13, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(95) - (sqrt(95)*-1*-2 - sqrt(95))))\/(sqrt(5) + -2*sqrt(320) - (sqrt(605) - (1*sqrt(605) + sqrt(605)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p. Let i(f) = -4*f - 5. Give i(z(k)).\nAnswer: -40*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128 - 11 - 24)*(0 + 4 - 3)*(-10*y + 5*y - 7*y) to the form h + z*y and give z.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 2*r**3 + r**3)*(3 - 13 + 23).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 1. Let z(o) = -315*o - 2. Let g(v) = -b(v) - z(v). Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11232121 (base 4) to base 14.\nAnswer: -878d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 21*w**2. Let r(v) be the third derivative of v**4\/6 + 75*v**2 - v. Give r(m(j)).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*q + 634*h*q - 577*q wrt h?\nAnswer: -4*h*q + 634*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 33 - 1 = 0. Let i(g) = -g**2 - 13*g - 34. Let q be i(a). Find the second derivative of -20*s**3 - q*s + 4*s - 11*s - s wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153235 (base 8) to base 13\nAnswer: 1c013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 391.9123 millilitres?\nAnswer: 0.3919123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 1 = a + 3*s, 2*a + 12 = 4*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o - 1. Let x(z) = 4*z**2 - 9*z - 4. Let m(i) = -3*q(i) - x(i). Let d be m(5). Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 + 197*c - 29. Let q be r(28). Which is bigger: 1\/653 or q?\nAnswer: 1\/653","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 8) to base 16.\nAnswer: -299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178202 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 5*g + 4. Let k be i(6). Let f be k\/4 + 15\/6. Suppose -f*r + 9 + 1 = 0. Calculate the remainder when 14 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111110110000110100 - 110?\nAnswer: -110111110110000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -371.9999976 - -372. What is x rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 62*p + 161. Calculate r(0).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*y - 1658, -b + 174 = -4*y - 250. Suppose 12*n - b - 316 = 0. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64722 = -77*t - 56021 for t.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1150362 + -12?\nAnswer: 1150350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 12, 40, 82, 138?\n\"Answer: 7*k**2 - 7*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0537 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44536708*o*w**2 - 91125626*w**2 with respect to o.\nAnswer: -44536708*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499987 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 9*y + 9. Give v(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70768 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 11, p: 1, y: 5}. What is prob of picking 2 k?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, e: 5, h: 4, k: 2}. Give prob of picking 2 p and 2 k.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 39*q. Let h(x) = 549*x**2 - 6. What is y(h(d))?\nAnswer: 21411*d**2 - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**3 + 3*k**4 - 2*k**3 + 4 + 23*k**2 - 18*k**2 + 7*k**3 + 2*k**3 to w*k**3 + h*k**2 + o*k + f + l*k**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = 0. Let w = 39 + i. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 40*d**4 + 2 - 2*d**2 - d + 20*d**4 + 21*d**4 to the form b*d + z*d**3 + v*d**2 + f + w*d**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6007, -6019, -6055, -6127, -6247, -6427, -6679, -7015?\n\"Answer: -2*h**3 + 2*h - 6007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.157, 2\/21, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 - 242. Which is the closest to 0.018? (a) k (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 + 275. Suppose -x = -0*q - 2*q. Suppose 5*v - q = -3*y, -19 = y - 3*y + 5*v. Calculate the greatest common factor of 48 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 1, s: 2}. Give prob of sequence ss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(117) - (sqrt(117) + 3*(sqrt(117)*-2 + sqrt(117) + sqrt(117) - sqrt(117)) + sqrt(117)))**2 + sqrt(832)*2*-6).\nAnswer: -1872 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*2 + sqrt(165))\/sqrt(5))\/(sqrt(216)\/sqrt(8)) - ((sqrt(176) - sqrt(176)*1) + sqrt(110)\/(sqrt(30)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -172, 2 in decreasing order.\nAnswer: 15, 2, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Let k = -61 + 97. Suppose y*w + 3*c = 36, -3*w + 4*c + k = c. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 2*a**4 + 4*a**4 + (-2*a**3 + 4*a**3 + 0*a**3)*(-4 + 4 + 2*a) + 5*a**4 - a**4 + 5*a**4.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*x - 5 = 0, -3*v - 3*x = -0*v - 3. Let t(w) = 22*w. What is the smallest common multiple of t(v) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4952)\/(-619))\/(-4*23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**2 - 829*j**4 - 112 - 10*j**4 - 312*j + 156*j + 156*j wrt j.\nAnswer: -20136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1\/5, -2\/4657, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -19. What is the tens digit of (-154)\/(3*(-6)\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/16)\/((-1)\/22). What is the highest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100\/141 + 2\/47. Let r = 20 + -19. Suppose 2*d = 3*d - 1. Which is the nearest to r? (a) i (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 20?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 0.027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(16) - sqrt(144)))\/(sqrt(16)\/sqrt(2)*3).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.55 take away -29?\nAnswer: -68.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 0?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1912 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 118480 times 2\nAnswer: 236960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849022437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (12 - 25) - 18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 4, j: 6}. What is prob of sequence jz?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let m = -103 - -61. Let f = m - -47. Calculate the remainder when f is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.046736 - 28.916264. Let u = n + -0.037. Let y = 28.999905 + u. Round y to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 239.96, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -7 - -3) + -8 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 3003813?\nAnswer: -3003813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13597, -27196, -40795?\n\"Answer: -13599*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/10 and 41\/700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7766 - -12049. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*x. Suppose -2*q - 2*y = -x*y - 16, q - 3*y = 4. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015829 to five dps.\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**3 - 2*a**2 + 15*a - 3. Suppose 26*f + 40 = 18*f. List the prime factors of m(f).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66502 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: Simplify (d**(-2\/3))**(24\/5)*d**(1\/3)*d**0*(d**(3\/5)*d**(-4))**(-38) assuming d is positive.\nAnswer: d**(379\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 5*f - 623. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 785217517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32901691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 8*u - 1. What is g(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppopppooopopoomooooo. What is prob of sequence pmp?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) + (-143)\/156?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*u**4)*(3 - 17 - 32 + 0 - 2 + 3 + (-3 + 4 + 0)*(7 - 2 - 4)).\nAnswer: -88*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 11*z**2 - 9*z + 41. Let d be n(-12). Solve -d*j + 15 = 3*g - 8*g, 0 = -2*j - 3*g + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 171*z**2. Let x(m) = 6*m**2. What is o(x(c))?\nAnswer: 6156*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-875)\/(-22750))\/((-10)\/3 + 3).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 2 - (-42 + (46 - 4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 12, 15, 36, 81, 156, 267?\n\"Answer: z**3 - 16*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:20 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 2*s + 3*s - 136942. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -967*o + 954*o = -2600. What is the remainder when 205 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n + 17. Let s(b) be the third derivative of b**5\/60 - b**4\/8 + b**3\/3 + b**2. Is s(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r - 3. Let t be n(8). Let u = t - 56. Which is the third smallest value? (a) u (b) 3\/7 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jelj when four letters picked without replacement from {k: 2, e: 3, j: 3, i: 1, l: 1, g: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 26*o**2 + 15*o + 45. Let w be a(20). Suppose 8*s - 1679 - w = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - (-38 + 24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 7830 = -17*h + 9*h. What is the highest common factor of h and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 50 (b) -1 (c) 52 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84729902 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = 7. Let y be 12\/2 + (1 - n). Suppose 0 = y*o - 6*o + 10. Solve -o*r + 6 = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2 + 2)*(22 + 3*x - 22) + 0*x**2 - 2*x**2 + 0*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152 + 152 - 46 - 256 + 675*g**2 to m*g + z + v*g**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*v**2 - 16*v**2 + 33*v**2)*(-v**2 - 3*v**2 + 2*v**2)*(1 + 2 + 2) to the form l + o*v**2 + y*v**3 + b*v + t*v**4 and give t.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 17.97 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let n(x) = 3*x**3 - 4*x**2 + 58*x. Let z(c) = 3*g(c) - n(c). What is the second derivative of z(y) wrt y?\nAnswer: -18*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 4:23 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10313 - -1?\nAnswer: 10314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 11 = -3*q. Let d(z) = 0*z**2 + 1 + z + 2*z**2 + z**2. Let t be d(q). Solve -18 + t = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6269362 and 1496.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31\/4? (a) -6 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001489697 to 7 dps.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:14 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 4. Let n be c(6). Suppose -2*b + 8 = 0, 4*p = 3*p - 5*b + 14. What are the prime factors of (3\/n)\/((-1)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 11463.9\nAnswer: -137566.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27*(-5)\/(-15) - (1 - 2). Find the first derivative of 23*k - 5*k + j + 30*k + 56 - 147 wrt k.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (129 - 2) - -61?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/11)\/w**(-3))\/(w**1*w)**(-1\/10))\/((w*w**(-3\/7))\/w**(-3\/7)*w**0*w*w**6*w) assuming w is positive.\nAnswer: w**(-329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1006 + -51?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*o - 3 = 0, 2*c - c + 19 = -5*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r + 140. Let p(k) = -15*k - 351. Calculate 5*p(i) + 12*s(i).\nAnswer: -3*i - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.4606 rounded to the nearest integer?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*f = 126402, 4*i - 16*f = -19*f + 252832. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11137536 * 3.\nAnswer: 33412608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 20*g**2 - 12*g - 36.\nAnswer: -4*(g - 3)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 733798.25 rounded to the nearest ten thousand?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -28.9 and -1856\/1007 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(1\/19)*y\/y**(-10) assuming y is positive.\nAnswer: y**(227\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*c - 35, 4*w + 26 = 5*c. Which is smaller: 27\/481 or w?\nAnswer: 27\/481","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 1)*(z**2 + 2*z**2 - 11*z**2) + 0 - z**2 + 0 to the form f*z + b + l*z**2 and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5369 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -316*p**2 + 52*p**3 - 227*p - 308 - 56*p**3 - 393*p.\nAnswer: -4*(p + 1)**2*(p + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15676004 - 2?\nAnswer: -15676006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1d79d61?\nAnswer: -1d79d5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 193710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 916.9465 litres to millilitres.\nAnswer: 916946.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 53537.\nAnswer: -5\/53537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53878876 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(25200\/(-189)))\/((-2)\/(-110))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 557867595 a multiple of 645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 - 8*l - 2. Let d be c(-7). Suppose 0 = 3*u - 2*v - 20, 3*v + 4 = u - d. What is the greatest common factor of u and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x - 3 + 19*x - 53*x - 227*x**2 + 17*x.\nAnswer: -227*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 85485*q\/2 - 2435895075\/4.\nAnswer: -3*(q - 28495)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1485, 2974, 4463, 5952?\nAnswer: 7441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Let i be 265\/(-20) + 1\/m. Is i smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l - 317. Determine x(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 206*o**2 + 65*o - 5. Let i(g) = 2*g**2 + 2*g - 2. Let k(y) = 6*i(y) - 2*v(y). Find the second derivative of k(j) wrt j.\nAnswer: -800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -26. Calculate the remainder when 44 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + l + 3*l**2 + 5 - 3*l**2 - 5*l**2. Let r be n(0). Suppose -156 = -3*a + 5*v, -r*a + 3*v + 95 + 149 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 37345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*l - l. Let o = l + -67. Let d be (o\/(-35))\/((-2)\/(-5)). Solve 4*b + 6*k = d*k - 8, -5*b - 8 = 4*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -374 - -374. Let n = -1.1 - -0.8. What is the closest to -0.1 in 1\/2, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 110*q - 36. What is v(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 - 6*u - 6. Let b be j(-5). Let y be 12\/7 + b - 1. Let h = 0.28 - 0.28. What is the nearest to 2\/5 in 2\/7, h, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 14*y + 15. Let h be p(-7). Suppose h*w - 27 = 6*w. Let f(z) = 678*z + 7. Is f(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) + 0 - (sqrt(243) - -2*sqrt(243))\/sqrt(9))**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Suppose 3*n + 14 - 5 = 0. Let a(x) = -2*x**2 + 3*x**2 + x**2. Calculate n*a(w) + 8*h(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r + 100*r - 14088 = -191*r - 205*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 597 + -590. Suppose 2*n + 4 = 4*l + s*n, -3*n = -2*l + 2. Suppose 8*x = 5*x + 9. Solve -l - x = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 2\/1)\/(45\/((-3375)\/(-50)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -252, 85, 1006, 2511, 4600, 7273, 10530?\n\"Answer: 292*z**2 - 539*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/77)*f**15*(f**9*f)**(-4\/15) assuming f is positive.\nAnswer: f**(2855\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 52.9. Sort j, -3, -5 in increasing order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*w + 77 - 309, 12 = -3*w. Let p = -13 - -22. Suppose p*u - 5*u = k. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 254 = -2*c + 3074, 3*r - 7008 = -5*c. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Suppose 0 - 12 = f*q. Sort -2, 2, q in ascending order.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(343) + -1 + 2 - ((sqrt(1008) - sqrt(1008)*-1) + sqrt(448))) + 2)*6)**2.\nAnswer: -6600*sqrt(7) + 157984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.96 + 0.24. Let h = d + -45. Let x = 3.1999946 - h. What is x rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 11 - 1. Suppose 4*j + 5*b = 245, 4*b - 2*b - 182 = -3*j. Let z = j - 50. What is the remainder when z is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.0764\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*m - 2*v, -4*m + 32*v - 27*v = -41. Sort -4, -30, -1, -5, m in increasing order.\nAnswer: -30, -5, -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - -0.04. Which is the nearest to 2\/5? (a) n (b) 2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsmssgoxsnssss. Give prob of picking 1 g, 1 m, and 2 n.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 92*g**2 + 604*g + 1092.\nAnswer: 4*(g + 3)*(g + 7)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4380838 and 35\/1251668.\nAnswer: 8761676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3344 - 33549\/10. Suppose -36 = -3*i - 3*l - 0*l, 0 = 5*i + 4*l - 61. Let d = -8 + i. What is the common denominator of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 375 and 2480?\nAnswer: 186000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192951 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 3219 (b) 4 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*i*t**4 + 5*h*i*t**2 + 2*h*i*t - 3344*h*t**4 + 3*h*t**3 - 7*h - 10*i*t - 14*i wrt t?\nAnswer: -48*h*i*t - 80256*h*t + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*k = -30, u = -79*k + 80*k + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 54.3 (b) -3\/335 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 21. Solve 0 = u*a - 0*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 5, y: 10}. Give prob of sequence ccck.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 - 2*t**3 + 4*t**3 + (0 + 3 - 5)*(-t**3 + 3*t**3 - 3*t**3) + 2*t**3 + 2*t**3 - t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 54442200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1229 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/104 and (12\/(-10))\/((-138)\/10) - 1427\/(-5014)?\nAnswer: 11336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/19, 255150, -0.4?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**3 - 3 + j**3 - 9*j**2 - j + 3*j**2. Give k(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -916, -1397, -1880, -2365?\nAnswer: -2852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 15. Let i be -10700002 - 3\/((-3)\/j). What is i rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(468) + sqrt(468)*1)\/(sqrt(4) - -2*sqrt(8)\/sqrt(2))).\nAnswer: 10 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-3*q + q + 4*q) - 2*q + 1 - 1 - 2*q + 43*q + 20*q to the form i*q + d and give i.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2926*s + 65565 = -2771*s. What is the remainder when 493 is divided by s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/3 + 8*l**3\/3 - 6*l**2 + 27*l + 1. Factor n(d).\nAnswer: -4*(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410 times 0.7\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25865 (base 13) to base 16.\nAnswer: -10fa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3611 - 3586. Solve 0 = -d + 2*x - 8, 0 = d - 6*d + 5*x - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69\/61 - -544\/427. Which is the nearest to -0.1? (a) -1.76 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17619*k**3 + 3488616*k**2 + 172694511*k + 529254 = 0. What is k?\nAnswer: -99, -18\/5873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371991 a multiple of 2912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57586, -57581, -57574, -57565, -57554, -57541?\n\"Answer: y**2 + 2*y - 57589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376265477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 525*o**2 - 532*o - 3156 = 0. Calculate o.\nAnswer: -526, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 6 = 4*q, -3*p + 3063*q = 3065*q - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2632*x + 2628*x - 72 = -2*i, 2*i - 5*x = 91 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3*16\/(-1020))\/((-18)\/45)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 + 24*h**2 - 42*h**2 + 9*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*k**3 - 69*k**3 - 49*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326180 and 1504.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from biiqiqqddbqqqqq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162646399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-8))\/h**(3\/5)*(h**11)**26 assuming h is positive.\nAnswer: h**(1397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufuuufuuuffdffufuuf. Give prob of sequence ff.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -1\/10, 44\/271, -116, -0.032?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2. Let q(f) = 2*f + 75. Calculate q(z(h)).\nAnswer: -6*h**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4882541255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 1. Let m be l(-1). Let o = -0.13 + 3.13. Let h = 1.1 - 0.8. Which is the closest to 0.1? (a) m (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -21. Let i(j) = 7*j**2 - 4*j + 6. Let x be i(4). Suppose k*m + 182 = -x. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*((-1 + sqrt(3))*-1 - sqrt(3)) - (3*5*(0 + sqrt(12)))**2.\nAnswer: -2682 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-2\/21)*(m\/m**1)**(-32) assuming m is positive.\nAnswer: m**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - l + 60 = 0, -60 = -4*h + 3*l + 2*l. Suppose -t - 6 = t + k, -5*k = t - h. Which is the smallest value? (a) 2\/13 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 6, w: 7, a: 5}. Give prob of picking 2 o and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1571 + 579 + 208 - 1379)*(5*o**2 - 5*o**2 + 13*o**3)*(0*o - o - o) + o**4 - o**4 - o**4.\nAnswer: 56237*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1577690274?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.463.\nAnswer: 0.1389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*p - 15836, 2*x + 4*p - 7913 - 7931 = 0. Suppose -4*z + 4*q = -0*q - 10544, x = 3*z - 5*q. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/3 + 23\/3. Let n = -3.57 - -3.8. Let q = 0.03 - n. What is the second smallest value in q, -0.1, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616 by 44.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67164984?\nAnswer: 2, 3, 310949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*v = -14, -3*u - v = u - 16. Suppose u*g = -0*g + 45. Let x = 25 - g. Calculate the smallest common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.63 + 5. Let p = 0.6282 + q. Round p to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-10))\/((-6)\/(-90)). What is the second derivative of 4*i**4 - 3*i**3 + u*i**3 - 6*i**4 - i wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4703*d + 3*d**2 - 5 + 6*d**2 + 4708*d + 4 to the form p*d**2 + v*d + m and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 321*r - 312*r - 729. Calculate the highest common factor of 2043 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -109. Calculate the common denominator of (-34)\/3*9\/16 and (2\/16)\/(f\/1464).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eveewqwwqewqw. What is prob of sequence wvwq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y. Suppose y*h = -h - 5, -3*d + 5*h + 25 = 0. Which is the nearest to 1\/4? (a) -0.3 (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 5 = 35, 16 = -5822*s + 5824*s - 3*t + 71 + 10 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(4\/11)*d*d)\/(d*d**10)*d**(8\/7)*d**10 assuming d is positive.\nAnswer: d**(270\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0, -3, 4, -298, -1 in ascending order.\nAnswer: -298, -48, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 5*b = 19, 2*b = -4*c + 40. Suppose -4*s = 2*m - 17 - c, 2*s - 10 = 0. Let 2\/9*v - 2\/9*v**m + 0 + 0*v**2 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 91755179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 23 + 8 = 0. Suppose -15 = -3*k - 8*w + 5*w, 0 = -2*k + c*w - 4. Suppose 0*g - 6 = -g. What is the smallest common multiple of k and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 47*r - 47*r + 36*r**3 + 6 as n + z*r**2 + s*r + g*r**3 and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a0436 (base 13) to base 12.\nAnswer: 35531a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 2. Let f = -8 + 2. Let p be r(f). Suppose 5*w = 3*s + 572, 5*w = -p*s + 3*s + 580. Calculate the greatest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -109*p**5 - 13*p**2 + 91*p - 13. Let f(j) = -54*j**5 - 6*j**2 + 45*j - 6. Let c(x) = 13*f(x) - 6*l(x). Find the second derivative of c(h) wrt h.\nAnswer: -960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26923 and 1277807?\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 1:36 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*z + 27 = 0, -3*z + 10 = t + 27. Is (184\/(-12))\/(t\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24385 take away -15.6?\nAnswer: 15.84385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -1. Let j = 11 + -10.6. What is the second biggest value in 0.3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -105 (b) 13 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.412172s to microseconds.\nAnswer: 412172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36950393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vurrvuurun. What is prob of picking 1 n, 1 r, 1 u, and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748777*n = 748971*n + 117 - 3256 - 12575 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Suppose -2*z = 3*b - 4*b - 6, -5*z + 4*b = -9. Suppose z*r + 9 = 24. Solve 1 = -r*p + d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37472077 bigger than -37472077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*(-30)\/(-4). Let s(c) = -c + 5. Let p be s(5). What is the third biggest value in 0.1, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 231*q - 166. Let g be a(2). Calculate the highest common divisor of 111 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16484 is divided by 98.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12399 and 855.\nAnswer: 3533715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 + 3*b**2 - 4*b - 2. Let s = -3110 - -3112. Give a(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -253570466.\nAnswer: -253570471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let b be (-3)\/2*(-88)\/33. Solve 3*f**2 - 2 + b + j - f**2 - 6*f = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17004036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34*-4\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/182455 and -19\/805.\nAnswer: 4196465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 394\/10 - ((-186)\/(-15) - 12). Solve 0 = s*c - 112 - 83 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3\/(-1) + 387\/(-4). Let x = 101 + v. What is the nearest to -1\/2 in x, -1\/4, 0.22?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.442, -2\/9, -3, 4, -1.6, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 806933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2794980*f**3 - 2*f**2 + 114*f - 1245?\nAnswer: -16769880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -56222671?\nAnswer: -224890684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 996548 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 4. Let a(c) = -c**3 - 5*c**2 - 2*c - 7. Let p be a(-5). Let m be t(p). Put 4, -1, m in ascending order.\nAnswer: -1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.85 - 37.85. What is the closest to -2 in -6.1, -3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/248952 and -47\/13776.\nAnswer: 3485328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/28 + 76\/28. Solve -2*u + 1 = t*h, 2*h - 6*h + 5*u + 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 60*z - 1656. What is the units digit of o(111)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 8*s + 4. Let f be u(5). Let d be 1 + 2 - f\/(-4). Let r = -50 - d. What is the smallest value in 3\/7, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 5*h + 1. Let r = -2 + -1. Let j be l(r). What is the units digit of 0 + 0 + (j - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1146555*k**2 + 113 + 64662*k**2 - 53 - 58.\nAnswer: 1211217*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**4 - 32*h**3 - 60*h**2 + 32*h + 64 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 289, 682, 1251, 2002, 2941, 4074?\nAnswer: 5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5622.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -3. Let s = u + -10.0232. What is s rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (184\/(-10))\/((-2)\/(-10)). Let o = h - -95. Solve 12*j**3 - 10*j**4 - 51*j**2 + 2 + 21*j + 4 - 33*j**o + 55*j**4 = 0.\nAnswer: -1, -1\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469 divided by 6?\nAnswer: -469\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 597 - 636 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1905980, 1905981, 1905982, 1905983, 1905984, 1905985?\nAnswer: 1905986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158784892?\nAnswer: 2, 7, 523, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 22*q + 17. Is g(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3617*-1\nAnswer: -0.3617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34247116*u**3 - 2*u**2 + 5*u - 159824 wrt u?\nAnswer: 205482696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-8)\/(-32)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = -4*x + 118. Which is smaller: -66 or x?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531860 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/120 + 13*c**5\/60 + 17*c**4\/24 - c**3 + 13*c**2. Is 9 a factor of t(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-7)\/(-4))\/((-7)\/70). Which is the nearest to 1\/4? (a) -0.1 (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14568, -58272, -131118, -233112, -364260?\n\"Answer: -a**3 - 14565*a**2 - 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168600061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17258642*k*n**2*q**2 + 3*n**2*q**2 - 14*n**2 - n*q**2 + 917*n*q + q**2 + q wrt k.\nAnswer: -17258642*n**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38317 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y + 46. What is o(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 6\/(-1))*2. Find the first derivative of b - 12 - 47*b**y + 3*b**4 + 22*b**4 wrt b.\nAnswer: -88*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(1\/6)))**39\/(r**(-2\/11)*r\/r**(-5)) assuming r is positive.\nAnswer: r**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10243 (base 5) to base 7.\nAnswer: -2015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((((r*r**(-2\/7))\/r*r*r)\/r)\/r*r)\/r)**(-13)\/((r\/r**(-10))\/r**(-1\/19)) assuming r is positive.\nAnswer: r**(-2705\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1478, 1478, 1476, 1472?\n\"Answer: -g**2 + 3*g + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.4 - 6. Let q = 1 - 5. Let u = q + -2. Which is the nearest to 2\/7? (a) h (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27984 and 7986?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -3, -24, 0 in decreasing order.\nAnswer: 2, 0, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 8. Let o(w) = 2*w**2 + 4*w + 3. Let u be o(-2). Calculate the highest common factor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 404, 1618, 4056, 8126, 14236, 22794?\n\"Answer: 68*m**3 - 78*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m = -43*m + 5, 61 = -5*o - 11*m for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-497)\/(-56) - (15\/8 + -2). Solve 0 = 3*b - i + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -203, -400, -593, -782?\n\"Answer: 2*i**2 - 203*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k + 558 - 508 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-12) + (880\/64 - 14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 4, n: 9}. What is prob of sequence qa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 + 231. Suppose -2 = -2*l + 2. Suppose l*f + 128 = 6*f. What is the greatest common divisor of f and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46784641 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - z + (5 - 4 + 0)*(-2*z + 4 - 4) - 14*z - 12*z + 20*z + (2*z + 0 + 0)*(-1 + 0 + 0) to o + m*z and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 212, 334, 466?\n\"Answer: 5*r**2 + 97*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173.6 - -173. Which is the nearest to -2\/3? (a) 2\/9 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920 and 506?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96*(-3)\/(-27))\/2?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137542469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4197 - -4197. Which is the closest to r? (a) 5 (b) 3\/7 (c) 3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from mreamyeacmmam?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*t**3 + 1270812*t**2 + 37615981*t wrt t?\nAnswer: 90*t + 2541624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.19269 + -239890?\nAnswer: -239159.80731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.2, 10, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 800\/(-2) + 0 + -1. Let v = -148 - q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 25524?\nAnswer: -25535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(84\/(-9))\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 13*r**2 + 11*r - 14. Calculate h(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:17 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1. Let x(z) = z**3 - 8*z**2 + 6*z + 5. Let b be x(7). Let p(m) = -3*m. Give b*r(t) - p(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*k + 61*k + 53*k - 77 - 38 - 166 in the form j*k + r and give r.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11. Suppose 5*t - 145 - 190 = j. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 3. Suppose -3*u - 10 = -u. Let n = u + 5. Suppose n = 5*w - 20 + 5. What is c(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**6\/120 - j**5\/15 - j**4\/24 + j**3\/6 + 3*j**2\/2 + 2. Let d(o) be the second derivative of c(o). Determine d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:46 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let u(j) = 2*j - 1 + s - 3. What is the units digit of u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6))**(-24)\/((d**(6\/17)\/d)\/d*d**(1\/8)) assuming d is positive.\nAnswer: d**(2927\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 2\/5, 1, -3, -0.2, 0.0097?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11835 or -11824?\nAnswer: -11824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = 5*z, 4*d - 48 = 208*z - 212*z. Let a(b) be the first derivative of 7 + 0*b - 11\/4*b**4 - 1\/3*b**z - 1\/2*b**2. Give a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -869 (b) 0.2 (c) -0.2 (d) 0.4 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1744 - 3212 = 156*g - 1780 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-7)\/(-15)*(-7)\/(49\/(-70)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 1, t: 2, i: 2, e: 9, l: 1, v: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8878, -8862, -8866, -8914, -9030?\nAnswer: -9238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/1)\/(-13*63\/(-72) - 11) and 930.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -42. Suppose 0 = -50*t + 550 - 100. What is the greatest common divisor of t and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.4, 2\/9, -44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -13, -66, -187, -400, -729, -1198, -1831?\n\"Answer: -4*i**3 + 2*i**2 + 13*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*l + 25. Let h be (5 + (-156)\/10)\/(-3) - 4. Let b = 19\/15 + h. Sort l, b, 1\/7.\nAnswer: 1\/7, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/95 in 14, -1, -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + 11*f**3 - 6*f**3 - 2 + 2 + 5*f**3 + (2*f - 3*f - f)*(0 + 0 + f**2) in the form r*f**3 + a*f**2 + l + z*f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49740.67 millimeters in centimeters?\nAnswer: 4974.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -128\/7 - 4*b**3 - 66\/7*b**2 - 2\/7*b**4 + 32*b = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1547 + -4709. Let n = -3162.0003161 - z. What is n rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/9, 0.4, -0.85, -1\/4, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14176.2 and 46.\nAnswer: 652105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014042 nanometers in millimeters?\nAnswer: 0.000000014042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354 - -521535?\nAnswer: 521141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.0039, -2.74, 5\/6, 1\/2 in ascending order.\nAnswer: -5, -2.74, -0.0039, 1\/2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-7 - (-11 - 10 - 6)) + (-14 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2708244 by 123102.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743858383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 596 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 18) + -8 - (-1 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -63. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38362986719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -187 in ascending order.\nAnswer: -187, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 111881, -1 in increasing order.\nAnswer: -1, 2, 111881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/4 - m**3\/3 - m + 16. Let z(o) = -o**3 - o**2 - 1. Let h be 0 + (0 - 1) - -2. Give h*z(t) - g(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {q: 2, m: 1, o: 1, v: 1, e: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22565415 and 63480?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 42*s**3 + s**2 - 6*s - 8. Calculate the remainder when n(3) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82948179*f**2 + 41474180*f**2 + 41474000*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5174 - 3634. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1\/1*15)*8295\/(-474)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77121609109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/12*(-6)\/(-36)*8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265743246.\nAnswer: 2, 13, 127, 686173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.414 - -1.04. Let r = d + 18.3765. Let a = r - 12. Round a to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85067 * -5.\nAnswer: 425335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 621304 + 5?\nAnswer: 621309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 1 = -5*l + 11, -10 = -2*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 + 291. Let s(w) = -w**3 + 3*w**2 + 6*w - 5. Let t be s(4). Solve -t*j = -0 - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(10 + -7)\/(-63)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1225043000*w - 273920*w**3 + 1024*w**4 + 27477600*w**2 + 81924750625\/4.\nAnswer: (8*w - 535)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-6) + (-105)\/(-14). Let g be (1 + -2)\/((-1)\/4). Let s(m) = m**3 + 7*m**2 + 5*m - 3. Let z be s(-6). Solve 5*a + g*y = -7, -y = l*a - z*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0 - 90. What is the greatest common factor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1625 (base 11) to base 2\nAnswer: -100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*n + 2*n - 151*n.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 209616 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.535701 and 32228.\nAnswer: 32227.464299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28*(1040\/(-1248))\/((-12)\/7 + 1). Find r such that -8\/3*r**3 + 128*r**2 + 130*r + b = 0.\nAnswer: -1\/2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 0*j - 2 + 6*j - 4*j - 2*j**2. Let d(u) = 5*u - 5 + 4*u**3 - 2*u + 2*u - 5*u**2. Give 2*d(n) - 5*x(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/192 and 113\/120?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -43. What is the second biggest value in -5, n, -1, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/20 + p**4\/6 + p**3\/6 + p**2\/2 + p. Let n = -11 + 14. What is i(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Suppose l = x - 3 - 6. Solve -d = 2*k + 6, -4*k = -x*k - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 41 + 15 = 4*v, -v - 5*x + 25 = 0. What is the remainder when 42 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11713000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 226\/(-42) + 5 + (-2)\/7. Which is the second smallest value? (a) 0 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*a + 13048 - 8863 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10.9. What is the closest to 3 in o, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 19*q**4\/6 + 67*q**3\/6 + 49*q**2. What is the hundreds digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4988 (b) 0 (c) -38 (d) -4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -315*i**2 + 10*i - 42. Let l(a) = 629*a**2 - 21*a + 91. Determine 6*l(f) + 13*y(f).\nAnswer: -321*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 4727.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/(-16) + -5 + 0 and 2 - 3\/((-120)\/34).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011299 rounded to six decimal places?\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5764 is divided by 1440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2 (b) 77\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.111\nAnswer: -0.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -29*k - 51 + 103 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 4, -2, 6, -5 in descending order.\nAnswer: 9, 6, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1561 + 1909?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 62 - 2 = 0. Solve -4*w - 2*p + 0*p = -20, -4*p + j = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)\/b*b*((b\/b**(-1))\/b)\/b)\/((((b*b**(-13))\/b)\/b)\/(b**15*b)) assuming b is positive.\nAnswer: b**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11672 and 49\/48.\nAnswer: 70032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -11. Solve -4*m - w = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u - u)*(5*u - u - 3*u) - 2 + 2 - u**2 + (-u - u + u)*(-4*u + 8*u + 2*u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 10. Let t be w(-8). Let i = 4 + 0. What is the smallest common multiple of i and (-2 + t)*(-4)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25133763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 + -0.23. Let a = 750 + -754. What is the nearest to c in -2\/7, -1, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 6*x**2 + 9\/4*x - 3\/2 + 9\/4*x**3 = 0?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 20 = -3*n. Suppose 5*t = -n*f - 0*t + 19843, -29777 = -3*f + 5*t. What is the tens digit of 2\/9 + f\/54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + 0))**2 - ((sqrt(228)\/(-2*sqrt(12)))**2 - sqrt(19)).\nAnswer: -19\/4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -10\/3*a**3 + 13 - 1\/4*a**4 + 0*a + 11\/2*a**2. Let j be m(-11). Solve -2*u + 2 + j = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:53 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 956393601\nAnswer: -956393591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32412 + -21859. What is the greatest common divisor of l and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 7, u: 12}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -79 (b) 0 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 - 1964*l**2 - 6758112*l\/5 - 1424304576\/5.\nAnswer: -4*(l + 492)**2*(l + 1471)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*v + 20, 2743*t + 22 = 2742*t - 4*v. Suppose 4*u - 6 = -2. Sort 47, -4, u, t in ascending order.\nAnswer: -4, t, u, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 854*l**3 - 132 - 851*l**3 - 3*l**2 - 1586*l + 1585*l to u*l**2 + i + d*l + g*l**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let h = 7493 - 224789\/30. Which is the second biggest value? (a) h (b) 2 (c) u (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580 = -54*w + 112*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -226 + 11. Suppose g*d = 206*d + 702. Let a(c) = 2*c + 2. Let f be a(12). What is the greatest common divisor of d and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + (-66)\/15. Let l = 409 + -411. Let q = -108 - -98. Which is the third smallest value? (a) l (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 40 = 68 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3633*a = -3644*a + 17402. What are the prime factors of a?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, -14444428 in descending order.\nAnswer: 0.3, -0.5, -14444428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2565 and 1485.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - a**2 + a**2)*(139*a + 139*a - 110*a).\nAnswer: 504*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1969981, 3939953, 5909921, 7879885?\nAnswer: 9849845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Solve 3*c + x*v - 21 = 0, -4*c = -2*c - v + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.4 - -64.1. Which is the second smallest value? (a) -77 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 62994*q - 377673. What is o(6)?\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:36 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19552*i**2 + i**3 + 19552*i**2 + 4*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 7*b + 2*b - 24 to h + g*b and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*c - 18, -2*c + 11 = 3*i - 3*c. Suppose 3*x + 146 = 2*l + 2*l, -i = 2*x. What is the remainder when 67 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84051 is divided by 28016.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((((s\/(s*(s\/(s**(-1\/2)*s*s))\/s))\/s)\/s*s)\/s*s*s)*s)**(1\/26)*(s*s**5)\/((s*s**(-1\/9))\/s) assuming s is positive.\nAnswer: s**(2869\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 3*k**2 + 0*k**2)*(-1 + 1 - 2*k**2) + 4*k**4 + 0*k - 6*k**2 - 3*k**4 - k.\nAnswer: -3*k**4 - 6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.127 - -0.12699911. Round b to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 + 5*r + 2. Let b(n) = 5*n**2 - 6*n - 2. Suppose 0 = 3*q - 9, 2*c - 19*q + 18*q = 5. Determine c*g(s) + 3*b(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 244 times -0.7\nAnswer: -170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 159858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 11190?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 10 = 0. Suppose -16 = -w*i - 4*u, -5*i + 8 = 2*u - 8. Is i\/(-5) - 192\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -261\/2 and -131 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**5 - y**3 + y**2. Let s(a) = 24*a**6 - 5*a**5 - 5*a**3 + 6*a**2 + 19*a. Let d(j) = -5*k(j) + s(j). What is the third derivative of d(c) wrt c?\nAnswer: 2880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-35) - 0 - 18\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*z**4 - 5355*z**3 - 26134 wrt z?\nAnswer: 8*z**3 - 16065*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 16 (b) 0 (c) -26 (d) -5\/3 (e) 0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11263, -11619, -12073, -12625?\nAnswer: -13275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 5:41 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -121210 (base 3) to base 8\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 937*w**2 + 4*w + 4*w.\nAnswer: 937*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1937 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93632140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, b: 4, y: 10}. Give prob of sequence ww.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 24905*d**2 - 249149*d - 11. What is y(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 2*(2 + ((2*(sqrt(153) + sqrt(153) + sqrt(153)*-2))**2 + sqrt(153) - (-4 + sqrt(153)*-5)))).\nAnswer: 16 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 67.\nAnswer: 102\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 10) to base 3\nAnswer: -201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367562 * -0.1.\nAnswer: 36756.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1222120011120 (base 3) to base 7\nAnswer: 11650431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 23*l + 22. Let j = 25 + l. Solve -p = 2*k + k + 4, -4*p + 11 = j*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 14 = -u, -13 = 2*t - 4*u + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0663 + 0.0063. Which is the closest to -2? (a) -3 (b) -0.3 (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011061416 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66a9 (base 12) in base 7?\nAnswer: 45060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b + 1. Let r(a) = -a**2 + 8*a + 11. Let v be r(9). Give g(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25 - 64\/4) + (-21)\/3. Let h(a) = -a + 1. Let u(m) = 10*m - 9. Calculate l*u(r) + 22*h(r).\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6673*o + 333707. What is d(50)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) 0.7 (b) 4 (c) -0.6 (d) 1\/17 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 3*q - 2, -4*q = -5*n - 1. Let m = -28 + 20. Let s = m - -9. Put s, -5, q in descending order.\nAnswer: s, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 9*t + 7. Let z be o(-8). Put 2, -2, z in increasing order.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -26. Suppose 3*x = l - s, 0*x + x = 4*l - 37. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*23463.\nAnswer: -93852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djii when four letters picked without replacement from nyyyikikiyidjyii.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772, -680, -588, -496?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 3.23.\nAnswer: 16.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23532808 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12)*720\/(-320))\/((-135)\/18)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/84 - 152*u**7\/105 + 323*u**6\/5 - 3320*u**5\/3 - 6875*u**4\/6 + 125000*u**3 + 863*u**2. Factor x(p).\nAnswer: 4*(p - 25)**3*(p - 4)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 14*h + 30 + 76*h + 293*h.\nAnswer: 383*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, z: 2}. Give prob of picking 2 z and 1 u.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - j - 11 = -0, 5*n + 4*j - 31 = 0. Solve n*q - 8 = -5*m, 0 = 2*q + 3*m - 5 + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 + -1691\/7. Which is the nearest to 2? (a) -2 (b) i (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**5 - 61*p**3 - 58*p**2 + 5*p - 398.\nAnswer: -120*p**3 - 366*p - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)\/b**6)\/(b*b**(-1\/2)*b*b*b)**(22\/7)*(b**(-1\/2))**(10\/7)*(b**(-1))**44 assuming b is positive.\nAnswer: b**(-432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 5*s**4 + 0*s**4 + 4*s**4 + 2*s - 2*s + (2*s**3 - s + s)*(0*s - 4*s + 5*s) - s**4 + 0*s**4 + 3*s**4.\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 7*p - 6. Let g be n(-5). Suppose g*u + 5 - 17 = 0. Suppose 2*w + 5*c = -10, 4*w + 7 - 1 = -u*c. Solve -b + 23 = 5*y + 5, y - b = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 3*k + 11*k)*(-4 + 4 + 6)*(-2 + 1 + 2).\nAnswer: 120*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -37, 2, -0.1, -0.3, 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 17 - (-2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.54 (b) 2\/1667 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/48 and -71\/2448324?\nAnswer: 9793296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 43456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 1111 = 983. Calculate the remainder when 415 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -71*l. Let y be h(1). Let n = 100 + y. Suppose q - 25 = -2*t, 5*t = 4*t + 5*q - 15. What is the remainder when n is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44.6, -1\/2, -4, -2, -3 in descending order.\nAnswer: 44.6, -1\/2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7333801 to 2 decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = n, 2*u - 2*n + 23 = -5*n. Sort 11, 3, -5, u.\nAnswer: -5, u, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) - (-86)\/4. Let p = 31 - w. What is the greatest common divisor of 99 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100009 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: Let s = 135 - 133. Let d(f) = f**2 - 3*f + 5. Let c be d(s). Suppose c*l = 8*l. Sort -2, l, 3, 1 in descending order.\nAnswer: 3, 1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -0.04, 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -958*j**3 + 670*j**3 + 4 - 4.\nAnswer: -288*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 50 = -22. Let h(g) = -g**3 - 3*g**2 + 2*g. Calculate h(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 - 2*j + 1. Let t(w) = 2*w**3 - w**2 + 3*w - 3. Let l be t(1). What is h(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (69\/(-207))\/(2\/(-9198)) is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 699.5059 - 702.8. Let i = u - -3.28. What is i rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -40, -129, -298, -571, -972?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 816*q\/7 - 818\/7.\nAnswer: 2*(q - 409)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 4234?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95422540 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -36. Suppose p + 11 = 2*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 324\/19 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (62 - 76 - (-8 - -2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 1. Suppose -d = a - 3*d - 2, 0 = a - 4*d. Give n(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 6 - 9. Let x(d) = -3*d - 8. Let y(w) = w + 3. Let j(f) = b*x(f) - 8*y(f). Let a(s) be the third derivative of -s**5\/12 - s**2. Give a(j(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -86400982 divided by -1?\nAnswer: 86400982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -4\/125 (c) -5 (d) 0 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27424188193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -24, -41, -60, -81, -104?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 5*s + 14, 4*g - s - 34 = -18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2. Let x(y) = 3378 + 4*y - 3364 - 2*y. Give x(r(o)).\nAnswer: -6*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.49 + 0.11. Let x = w + -1. Which is the second biggest value? (a) 1 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27320197 greater than or equal to 27320173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -18145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, f: 1, t: 3, h: 7, p: 1}. Give prob of sequence hlh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(3*3\/207). Suppose m = -3*k - 3*m + 69, 2*k - m = v. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1188\/(-132)*(-1)\/3. Solve -17 = -r*d - 32 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + (-33)\/(-12). Suppose 0*w + y*w - 12967749 = 0. Suppose 23522583 - w = -3*s. What is s rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52, -3\/4, -1\/3, 0.3, -103, -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - g + 1, -6 = 3*a + 3*g. What is the smallest common multiple of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 482 - 492 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 48577728?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1965? (a) -1 (b) 4\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/6 (b) -0.1 (c) 0.2 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001013001 (base 4) to base 8.\nAnswer: 5010701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 82. Suppose -k + 2 = 0, -12*t + 9*t + o*k + 1661 = 0. List the prime factors of t.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 82?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-8) + (-4)\/(-16). Let f(c) = 3*c + 7 - 3 + 4*c**w - c**3 + 1. Let a be f(5). Let p(v) = v**2 + 4*v - 1. What is p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 75\/17, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -513855 or -513918?\nAnswer: -513855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80148 and 113730012.\nAnswer: 113730012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - 2) + (0 - 19 - (-75 + 66))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1582 by -5.\nAnswer: 1582\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1687.4 + -1687. Which is the closest to 0.2? (a) -0.5 (b) -4\/59 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**3 - 8*l**2 + 19*l + 28. Let i = -50 - -56. What is the units digit of b(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -898 + 912. Is -1 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1569 - 9f0e?\nAnswer: -b477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 4 - (3 - 4) - -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 10.53.\nAnswer: 221.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 7. Let i(d) = 2*d**2 + 8. Suppose 4*t - t + 20 = -v, 0 = 4*t - v + 15. Give t*i(a) + 6*n(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-182)\/(-104) - (-43073)\/4?\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*s + s. Let p = s + 5. Let x = -5 + 2. What is the nearest to -1 in -1\/3, p, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12137, 24256, 36373, 48488, 60601, 72712, 84821?\n\"Answer: -k**2 + 12122*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552563 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - u**3 + 2*u**2 + 1356*u - u**3 - 1355*u + u**4 in the form v*u**3 + a*u + m*u**4 + x*u**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 13551*w**2 + 27111*w - 13557.\nAnswer: -3*(w - 1)**2*(w + 4519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/x**(-1\/14)*(x*x\/(x*x\/(x*x**(2\/5))*x*x)*x*x)**(4\/5) assuming x is positive.\nAnswer: x**(67\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -535.35397 rounded to 1 decimal place?\nAnswer: -535.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*n - 8 = -53, 0 = 3*k + n - 38. Let d be 2\/(1*(-4)\/(-21)). Which is greater: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - q = -0*v - 10, 4*v + q + 11 = 0. Let n = 11 + v. Let b(o) = o - n*o + 0*o + 0*o. Calculate b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/25)\/((-15)\/((-3375)\/(-30)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 4*b + 2*b + (0 + 0 + 6)*(-1 + 1 - b) + (-2 + 4 - 1)*(2 - 2 + 2*b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 - 4.9. Let p = y - -7. Which is the second biggest value? (a) 0 (b) p (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 5373171?\nAnswer: 5373167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -3245?\nAnswer: -3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146.204 - 146.88767. Let p = 8.31618 - j. Let x = 9 - p. What is x rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6) - 2)\/((-132)\/(-297))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/75 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9711 = -42*f - 75*f. Is f a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 - (1 - -2 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2780, 2781, 2786, 2795, 2808?\n\"Answer: 2*m**2 - 5*m + 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.2 + 0.8. Let u = -8 - f. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1623 divided by 3.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**4 - 4*q**4 - q**4 + (2*q**3 + 3*q**3 - 3*q**3)*(-3 + 3 - 4*q) to o + z*q + i*q**4 + j*q**3 + f*q**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3434967, -6869932, -10304897, -13739862, -17174827?\n\"Answer: -3434965*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33990, -135149, -303474, -538965?\n\"Answer: -33583*s**2 - 410*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 21 + 302 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31216281 or -31216276?\nAnswer: -31216281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 155022*f*t - f - 2*p*t + 150393*p wrt t?\nAnswer: 155022*f - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 344 + -343. Suppose -5*b + 0*f - 4*f = -19, -b = -4*f + 1. What is the remainder when b is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3, 0.4, -785, -0.4, 1\/4 in descending order.\nAnswer: 0.4, 1\/4, -1\/4, -0.4, -3, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -4\/21*m**3 - 2 + 1\/105*m**6 + 2\/35*m**5 + 1\/14*m**4 - 4\/7*m**2 - 17*m. Factor c(n).\nAnswer: 2*(n - 1)*(n + 1)*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12658*x**4 + 7*x**2 - 83*x + 3 wrt x.\nAnswer: 303792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/10*((7 - 1) + 19). Calculate the highest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22232529 > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Suppose -9*m = 4*m. What is the first derivative of 6*i + m + f - 3 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:39 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -90033 (base 15) to base 3\nAnswer: -212011001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*p - 104*p = 277*p + 6191 + 24357 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327693536*g**3 - 9*g**2 + 7089600?\nAnswer: 1966161216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1 + -5 + -5)*-4*3)**2.\nAnswer: -23328*sqrt(3) + 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(-1 + sqrt(2299)))**2 - -1*(sqrt(2299)*1 + sqrt(2299))) + 3)*-6 + 2.\nAnswer: -55216 + 396*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200, -2296, -3292, -4188, -4984?\nAnswer: -5680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.125 - -0.875. Sort 3, p, 2, -4 in decreasing order.\nAnswer: p, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80*r - 499*r - 15*r)*(-2 + 0 - 1) - r - r - 2*r in the form t + i*r and give i.\nAnswer: 1778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 6*t + 2*t. Let u(n) = n**3 + 38*n**2 + 72*n - 1. Let j be u(-36). Calculate v(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 - 120*n**3 + 13110*n**2 + 501200*n + 3840375 = 0. What is n?\nAnswer: -35, -11, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 + 111.3. Let a = -3.3 + k. What is the closest to a in 8, -4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + f. Let g be s(2). Suppose -i + g = 4. Suppose p + i*v - 3 = 0, 0 = -2*p + 4*v + 13 + 25. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -91 + -2a02?\nAnswer: -2a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95287035047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 51*o**2 - 30*o + 392. Calculate the smallest common multiple of y(26) and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5\/y*y*y)\/(y**(-5)*y))\/(y*y\/(((y*y\/(y**(-1)\/y))\/y*y)\/y*y))**2 assuming y is positive.\nAnswer: y**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 27 - 39 - 29 - 22 + 115. Let q(o) = o + 3. Calculate 4*q(t) + 5*u(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**10*z*z\/(z\/(z\/(z**(4\/7)*z)))*(z**4*z)**(2\/11) assuming z is positive.\nAnswer: z**(950\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003702083 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 28\/9, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 1 - (-58 + (10 - 5) + 15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3202612 and 0.3?\nAnswer: 3202611.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 10. Solve l = -0*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023849296 to 4 dps.\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*x = 4650, 0 = -4*t + 2*x - 5*x + 6249. Calculate the least common multiple of 9 and t.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(-23)\/(v*v**(-20\/7)\/v)**24 assuming v is positive.\nAnswer: v**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.85711cm to micrometers.\nAnswer: 388571.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j. Let o(v) = -3*v. What is 5*o(a) - 2*z(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 + g**2 + 7 - 3 + 2*g - 8*g**2. Let p be h(-8). Let x = -18 + p. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3, -250, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -759*j**5 + 5*j**4*u - 12*j*u - 71*j wrt j?\nAnswer: -15180*j**3 + 60*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 11*j**2 - 9*j - 2. Let y be p(10). Let m be y\/(-56)*313\/(-1). Let t = -45 + m. What is the second biggest value in t, -1\/3, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 11*t**6\/10 - t**5\/10 - 35*t**3\/3 + 5221*t**2\/2 - 9336*t. Find the first derivative of n(l) wrt l.\nAnswer: 132*l**3 - 6*l**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0010007 + 0.001. Round f to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:40 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1528 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/2045 (b) 0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 1 + 1)*(2*m - 2*m - 2*m) + 4*m + 2*m**2 - 4*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002548064 to 7 dps.\nAnswer: -0.0002548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 (base 14) in base 16?\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 26, 3 in descending order.\nAnswer: 26, 3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118250944.\nAnswer: 2, 7, 263953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-837)\/(-216))\/((270\/24)\/(-15))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -749, -1826, -3371?\nAnswer: -5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t + 20. Let b be c(6). Sort b, -6, -1 in increasing order.\nAnswer: -6, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 33 = -2*t, 0 = 7*t - 6*t + 3*y - 18. Let q = 37 + -19. What is the smallest common multiple of q and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:55 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**7\/56 - l**5\/60 - 59*l**4\/24 + 35*l**3\/3 - l**2 + 26. Let z(v) be the third derivative of c(v). Differentiate z(y) wrt y.\nAnswer: 45*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 274491740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 + 10*t**2 - 9*t - 18. Give r(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4\/5, -0.174?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109570156 to the nearest integer?\nAnswer: 10468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/((-13)\/(-156)). Suppose 3*b + 2*b - 25 = 0. Suppose b*y + 4 + 11 = 0. Sort 2, d, y in descending order.\nAnswer: 2, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 10*o**2 + 7*o. Let m(s) = 3*s**3 + 5*s**2 - 4*s. Let c(h) = -7*m(h) - 4*p(h). Factor c(k).\nAnswer: -k**2*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64656.29l in millilitres?\nAnswer: 64656290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:10 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 e when four letters picked without replacement from {g: 4, e: 3, x: 2, f: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y - 292. Let s be r(-36). Sort 5, s, 0 in decreasing order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 4602a?\nAnswer: 46034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*k - k - 118 = 0, 4*w + 4*k - 256 = 0. Calculate the remainder when w is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 2*s, -18 - 1 = 5*s + f. Let v be (-4)\/12 + (-25)\/s. Calculate the highest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 2*h + 2. Let c be k(-4). Let y = -9 - c. What is the remainder when 39 - ((-3 - -3) + 1) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423.52mg to micrograms.\nAnswer: 1423520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0864, 0.1, -0.5, -4.\nAnswer: -4, -0.5, -0.0864, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21320 and 341120?\nAnswer: 341120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p + 8*p - 2*q, 4*p - q + 4 = 0. Let h be (-9)\/(3*p) + -1. Let u(o) = -35*o. Let w be u(h). Round w to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqs when three letters picked without replacement from {s: 5, q: 1, n: 2, t: 1, b: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/11 + -243\/506. Calculate the common denominator of 53\/18 and b.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0*p + 2*p**3 - 3*p - 3 + 0*p**3. Suppose 0*g + 4*i + 10 = -g, g = -i - 19. Let v(n) = -7*n**3 + 11*n + 11. Determine g*l(x) - 6*v(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-528*d**2 + 0 + 1 + 522*d**2)*(2*d**3 + 2*d**3 - 7*d**3).\nAnswer: 18*d**5 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoh when three letters picked without replacement from {a: 4, g: 1, o: 1, h: 1, z: 6}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 48 = 2*y + 4*a, 0 = -4*y - 3*a - 38. What is the closest to 0.3 in y, 1\/3, 2, 3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.07 * -555.\nAnswer: 1703.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -16654?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 (base 7) in base 12?\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 5*u - 3. Let v(p) = p**2 - 6*p + 4. Let f be v(6). Let t be y(f). Suppose l - t = 2*l. Which is bigger: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 0 - -3 - 176. Let i = -78 - p. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012221201112 (base 3) to base 16.\nAnswer: -9e5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*f + 4*v, 62016*f = 62013*f + 6*v - 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-761)\/42 - 12\/(-42). Let n = 52\/3 + f. Which is bigger: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f**2 - f + 1. Let m be i(1). Let p = -4855 - -4858. Determine a so that 7*a**2 + 178*a**3 + 5*a**2 + m*a - 173*a**p + 2 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 57874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/3, 20, 1.3, -1 in decreasing order.\nAnswer: 20, 7, 1.3, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1331\/26 - 43\/13. Suppose 0 = -2*a - 145 + 29. Let w = a - c. Is -5 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 18 = 0. Suppose k*y - 25 = 5*y. Suppose -8 - y = -3*a. What is the remainder when 31 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (642*m**4 - 258*m**4 - 74*m**4)*(5 - 4 + 1)*(0 + 4 + 1) to s*m**2 + t + g*m**3 + u*m + l*m**4 and give l.\nAnswer: 3100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1137 + 461. Let g(h) = 22*h**2 - 7*h - 6. Let k be g(-7). Let v = k + r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 1\/18, 0.5, 320037?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(77)*-5 - sqrt(77)*1*-5)\/((sqrt(70) - (sqrt(70) - (2*(sqrt(70) - sqrt(70)*-2) + sqrt(70) + sqrt(70) + sqrt(70)) - sqrt(70)))\/sqrt(10)))**2.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2262*t + 4 = 2*v + 1121*t + 1142*t, -v + 48 = 12*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 747\/352 + -33\/32. Let v = x + -73\/77. What is the biggest value in v, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3046 + -3042. Put 14\/11, h, 0, 0.6 in descending order.\nAnswer: h, 14\/11, 0.6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 + h - h)*(-6 + 7 + 13)*(18*h**2 - h**2 + 18*h**2) to the form i*h**4 + t*h + x + j*h**3 + g*h**2 and give i.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46360 + 1374?\nAnswer: 47754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 - 1\/15*r**5 + 2\/9*r**3 + 6*r + 22*r**2 - 11\/3*r**4. Suppose u(q) = 0. What is q?\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1425580000 = 60*z - 86*z. Round z to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huc when three letters picked without replacement from cusah?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*f + 3*i + 49, 43 = 3*f - i. Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25209457?\nAnswer: 7, 13, 139, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**3 - 3*u**3 - u**3)*(9*u + 3*u - 70*u) in the form x + a*u**2 + k*u + g*u**3 + d*u**4 and give d.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 0. Suppose -2*m + 0*s - 2*s + 96 = 0, 152 = 3*m - 5*s. Let w be (2\/8)\/(m\/4 - 12). Sort d, -9, w in increasing order.\nAnswer: -9, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 21*o**3 + 16*o**3 + 15*o**3 - 2*o + 0*o + 27*o**3.\nAnswer: 37*o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6498, -50656, -170500, -403872, -788614, -1362568?\nAnswer: -2163576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - o + 17969, 45*x + 5*o + 17939 = 49*x. What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/7*7924\/(-457328).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 i, and 1 o when four letters picked without replacement from {m: 1, o: 1, u: 2, b: 1, i: 2, t: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 16183065?\nAnswer: 16183065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(132) + (sqrt(132) - sqrt(132)*-4) - sqrt(132))\/sqrt(11)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*(-10)\/(-55). Sort x, 3\/2, -5.\nAnswer: -5, x, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3744 - -3744.0449832. Let s = 0.09 + -0.045. Let z = s - j. What is z rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -59. Suppose x*i - 40 = 2*i. Solve i*g = 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -5*x**4\/12 + 235*x**3\/6 - 780*x**2 - 2966*x. Determine k, given that z(k) = 0.\nAnswer: 8, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 22*v - v - 162*v**2 + 5*v + 163*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 24 (c) -2\/9 (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/110124 and 173\/6762.\nAnswer: 770868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.003 (b) -0.2 (c) 4\/145 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((8\/(-12))\/(-1))\/(2\/12). Let o be (102\/4)\/((-6)\/(-36)). What are the prime factors of 1\/(b\/o) + (-7)\/28?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/165? (a) 0.03 (b) -0.4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 155 + 600 = 0. Let v be -12 + 8 + d\/11. Let w = v + -1113\/22. Find the common denominator of 12\/11 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**2 + 4*w + 30. Determine r(4).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 17. Let u(j) = -j + 6. Let p(v) = 17*u(v) - 6*w(v). Let k(s) = 7 - s + 8 - 17 - s. What is -k(g) - p(g)?\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 24966*a + 4 - 4.\nAnswer: 24966*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*2*2)\/sqrt(3) + ((sqrt(66) - -6*(sqrt(66) - (sqrt(66) - sqrt(66)*-2)))\/sqrt(6))**2.\nAnswer: 4*sqrt(11) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2da (base 15) in base 2?\nAnswer: -1001001110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 9*s - 6. Let p be h(10). Suppose -2*r + 4*m - 60 = 2*m, p*r = -5*m - 120. What is the units digit of (-4)\/10 + (-402)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1161777 rounded to 3 decimal places?\nAnswer: 3.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -407*m. Let b(x) = -13*x + 2. Give 2*b(v) - u(v).\nAnswer: 381*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67008, -268029, -603064, -1072113?\n\"Answer: -67007*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 6. Let z be b(-5). Let p = -0.015 - -55.015. Let q = -54.6 + p. What is the nearest to z in 0.2, -2\/17, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6441308 is divided by 6441083?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 n when three letters picked without replacement from duuuuddllunllunt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/4 + 12334 + -16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u = 6. Let i be 100\/((u\/12)\/((-1)\/3)). Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)\/d)\/d**(-1\/3)*d**(-8)\/(((d**(-3)\/d)\/d)\/d))**29 assuming d is positive.\nAnswer: d**(-1102\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - 1446*a**5 + 1436*a**5 - 7*a**4 + (3*a**3 + 2*a**3 - 24*a**3)*(-2 + 2 + a**2).\nAnswer: -29*a**5 - 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*p + 2822, 60*c - 64*c + 5651 = p. List the prime factors of c.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 31 = r, r - 128 = -4*f + 3*r. Let l be 4\/(-12)*(1 - f). Let l*q - 16\/3 - 1\/3*q**4 + 8\/3*q**3 - 8*q**2 = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 31*z = 28*z + 13, -2*y - 3*z + 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 4*w - 4, -3*w = -2*h - 5. Let t(b) = 4*b**3 - 27*b**2 - 5*b - 17. Let f = 61 + -54. Let g be t(f). Put g, h, 3 in descending order.\nAnswer: 3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7417349484 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65229137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 122 + 123 - 42*q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -0.7, 2\/1639, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**4*u**3 - 986*n**4*u**2 + 2921*u**3 wrt n.\nAnswer: -4*n**3*u**3 - 3944*n**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgof when four letters picked without replacement from ddofddgdfdo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 + 4*u + 12. Let p be w(6). Let n be (1 - (-11)\/1)\/1. Solve p*f + n = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/23 or 1705?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5718155*m**2 - 579490367 wrt m?\nAnswer: 11436310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a - 325 = -2111 - 550 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 7:02 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose 4*n = -2*j + d*j - 12, 5*n = 2*j - 15. Let o = 1.9 + -1.5. What is the second smallest value in -0.5, o, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/4 - 3*s**2\/2 - 4931*s. Let v(r) = 17*r. Give v(u(g)).\nAnswer: 51*g**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6997 - 356893\/51. What is the common denominator of s and -91\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.045 + 0.345. Let m = 48 - 46. What is the second biggest value in w, m, -0.45, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 9*s**2 + 14*s + 9. Let l be g(-10). Let x be (-3)\/((-3)\/10)*5. Let o = x + l. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 + -192.6. Let i = z - -34.6. Which is the nearest to i? (a) -2\/9 (b) -7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) -3492 (c) -0.08 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3060 - -491. What is the highest common factor of i and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 15*n = 2*n + 120 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + w)*(33*w**2 + 2 + 21*w**2 - 6*w + 32*w**2).\nAnswer: -172*w**3 + 12*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 277344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 1. Let i(j) = -12*j - 36. Give -i(b) - 3*t(b).\nAnswer: -3*b + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - r - 209 = 0. Suppose s - 4*k = 37, 2*s - 14*k = -r*k + 113. What is the remainder when s is divided by 11 + 1 - (0 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022333013 (base 4) in base 5?\nAnswer: -121204122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93064, 186129, 279194, 372259, 465324, 558389?\nAnswer: 651454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**8\/320 + 23*t**5\/120 - 5*t**4\/2 - 27*t. Let p(a) be the third derivative of s(a). What is the derivative of p(k) wrt k?\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 9*s - 8. Give d(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18319 - -1.\nAnswer: -18318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -223\/4. Let v be (-1)\/(-5)*10\/(-12). Let p = 0.979 - -0.021. Which is the nearest to p? (a) w (b) -2\/15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37794, -75581, -113344, -151071, -188750, -226369?\nAnswer: -263916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 2*t - 1. Let s be w(1). Let g = -36.3 - -36. What is the smallest value in g, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 289, 30336, -1 in descending order.\nAnswer: 30336, 289, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -20*s**2 + 9*s - 18. Let j(o) = -40*o**2 + 18*o - 33. What is 11*h(n) - 6*j(n)?\nAnswer: 20*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90900*m + 85 = 5*j + 90901*m, -2*m = 4*j - 74 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 37860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2\/7*v**3 - 18\/7*v + 6\/7*v**2 + 10\/7 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 10*c + 11. Let d be g(8). What is the closest to 8\/5 in d, -2\/11, -3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1. Let l(f) = 223*f + 4. Give l(o) - 4*r(o).\nAnswer: 223*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2 + 8*l**2 + 3 + 2*l**5 + 0*l**5. What is the second derivative of b(s) wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -281, -41, 593, 1819, 3835, 6839, 11029, 16603?\n\"Answer: 33*m**3 - m**2 + 12*m - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0 + 0*i + 2\/3*i**3 + 1\/12*i**5 - 12*i**2 + 1\/6*i**4. Does 3 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/15)\/(12\/8 + -2). Let q = -0.3 - -0.1. What is the nearest to q in r, 0.5, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 + 3*w - 2. Let v(l) = l**2 - l. Let a(i) = p(i) + 5*v(i). Suppose -h - 3*h = -12. What is a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 81, -5, 2, -2 in ascending order.\nAnswer: -5, -4, -2, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*o + 27, 2*j + 2*o = -0*j + 30. Let d be ((-2)\/12)\/(4\/j). Which is the third smallest value? (a) -5 (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.6 - 5.9. Suppose -141 = -5*v - 11. Let a be (-2 - (-48)\/v)*1. What is the nearest to -1 in 0, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 25*q**2 + 56. Give d(-25).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 0*m**3 - m**4)*(2*m - 6*m + m) + 17*m**5 + 10*m**4 - 11*m**4 - 65*m**5.\nAnswer: -45*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) -1 (c) 1147 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 461036897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/4 - ((-18)\/(-4))\/9. Suppose c = -5*v + 8, -3*v = -5*c - 0 - 16. Let y(s) = 8*s**v - 2 - r*s**2 + 2. Let z(i) = -3*i**2. What is z(y(d))?\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 5*t + 6. Let z be p(-4). What is the third derivative of 0*m**6 - 4*m**z + m**2 - m**6 + 4*m**6 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*j - 1234 - 185 = 0, 0 = v - 4*j - 473. Is 43 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.56 and -4.39.\nAnswer: -7.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -17.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - w**2)*(5 - 5 - 2*w**3) - 3*w**5 + 7*w**3 + 0*w**3 - 5*w**3.\nAnswer: -5*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63.0326 - 0.0674. Let r = -63 - a. Let m = 0.1 - r. Put m, 7, 1\/4 in descending order.\nAnswer: 7, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:31 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from psjppfsfpsjpsfspcj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 8 = 0. Let a = s + -3. What is the remainder when -5*a*(-36)\/15 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 884382 = 1606424. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 4, n: 2, g: 12}. Give prob of picking 1 g and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2043.8 - 2059.373. Let t = i - -0.073. Let r = 16 + t. Which is the closest to 1? (a) -0.1 (b) 5\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3080\/525 + 1 + -7 - (-344)\/330.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p + 2*p**2 + 6*p. Let x(u) be the first derivative of 22*u**2 - 831. Determine x(t(b)).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46402904449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55773852159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.93 - -0.07. Let w be (-11)\/(-7) - (748\/77)\/17. Let a = -0.01 + -3.99. What is the nearest to w in 1\/8, a, d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.773 + 0.133. What is o rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 1. Let p(i) = i. Let c(g) = -h(g) + p(g). Suppose -6 = 3*u + 3. Let q be c(u). Solve -q*x + a = -0*a + 14, 4*a = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 20820*g + 1654380.\nAnswer: -5*(g - 78)*(g + 4242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 310 = 0. Let n = -2802 + 2959. Is n bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/20)\/((-32)\/(-160))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 8285377?\nAnswer: 8285377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (2\/(-10))\/(4\/(-20)). Suppose h*z = -3*y + 112, 56 = 5*z + 5*y - 54. Suppose 5*t + 2*q = -25, t - z = 5*t + q. Are -7 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*s + 249*s + 129*s.\nAnswer: 328*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9.4, 3\/5, -1\/303, 0.05, 2\/5, 7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-69 - 5*c + 1040*c**2 - 2066*c**2 + 1028*c**2).\nAnswer: 4*c**2 - 10*c - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -223?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102.4 + 106.4. What is the fourth biggest value in a, -1, 1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 132*t - 2022. What is l(-42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 496?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-292)\/36)*(-18)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 4. Let o = z - -8. Suppose -2*h + 0*h + 5*t + 188 = 0, 0 = 3*h - 4*t - 268. Calculate the highest common factor of h and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = 6*p - p, 3*z - 14 = -p. Determine f so that 0 + 0*f**4 + 1\/2*f**3 + 0*f + 0*f**p - 1\/2*f**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87802 and -900470.\nAnswer: -988272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 2. Let u(r) = -2*r**3 - 14*r**2 - 12*r - 2. Let n = 34 + -40. Let t be u(n). Let o be c(t). Is -8\/7 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 36 = 4*y. Calculate the lowest common multiple of (8\/y)\/((-4)\/30) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 5 = 4*u + 5*s, -3*s + 51 = 3*u. Solve -u + 12 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Suppose -6*a = 3*a - 36. Suppose 7 = d + a. Sort -4, d, w.\nAnswer: -4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + t = -4, 2 = -0*t + t. Let f = c + 8. Solve f*s = s - 5*d + 5, -5 = 4*s - 5*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3456 = 13*x - 5*x. Suppose 7*g + x = 10*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from {b: 1, r: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 3. Let w be y(-2). Suppose 4*g + 4*d = 3*d + 19, 4*d = w*g. Suppose 0 = 3*r - 7 - 2. Solve r*j - g = 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 + -1172.006.\nAnswer: -1242.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -48*((-35)\/3 - -2). Suppose 4*a = -g + 439, 0 = 4*a - 7*g + 3*g - i. Is ((-1)\/3)\/((-1)\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*((-132126)\/76)\/(-61).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/11, -0.5, -2\/7, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14\/(b**(-2\/23)*b) assuming b is positive.\nAnswer: b**(301\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from uuuuuuuuououu?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16984 and 15541904?\nAnswer: 170960944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4))**(1\/10)*s**11*(s\/((s\/s**6)\/s))\/s assuming s is positive.\nAnswer: s**(683\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 0*v**3 + v**4)*(-3 - v + 3) + 0*v**4 + 2*v**5 + 0*v**4 + 2*v**4 - 2*v**4 - 2*v**5 + 17173*v**4 - 250*v**5 - 17173*v**4.\nAnswer: -251*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*t**2 - 27*t**2 - 30*t**2 - 34*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 373271, 746536, 1119799, 1493060, 1866319, 2239576?\n\"Answer: -p**2 + 373268*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2674 + -1587. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -30. Suppose -16 = -3*k - 5*c, 3*k + 3*c = 22 - 4. Calculate the greatest common factor of h and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0 (b) -3 (c) 0.02 (d) -0.46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 - 2*z. Let d be f(-2). Let m = -36 + d. What is the remainder when 95 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -1\/4*b**4 + b**2 + 1 + 0*b**3 + 0*b. What is the second derivative of y(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15355, 16793, 18271, 19789?\n\"Answer: 20*b**2 + 1378*b + 13957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 2*w**4 - 2*w**3 + 4*w**2 + w - 2.\nAnswer: (w - 2)*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.476 * -1327.\nAnswer: 3285.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 77919329?\nAnswer: 77919329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 63, 2, 1567071 in increasing order.\nAnswer: 2, 3, 63, 1567071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25714?\nAnswer: 2, 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2665*t + 1728*t - 1128*t - 2440*t.\nAnswer: -4505*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51173169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -48\/421?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let l(d) be the first derivative of 3*d**2 - 7*d**2 - 3 - 3 + 1. Give l(w(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 29*f**6\/15 - 143*f**4\/12 + 16*f. Find the third derivative of y(q) wrt q.\nAnswer: 1392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/40*s**6 + 4*s**3 + 0*s + 3\/10*s**5 - 6*s**2 - 3\/2*s**4 + 0. Factor u(v).\nAnswer: -3*(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*o - 120, -l - o = -0*l - 29. Let t = -30 + 121. Suppose 0 = 5*n - t + l. Solve 5*k + 3 = -2*d - 6, -d = 5*k + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 24. Let b = -32298 + 32299. Is b != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145794.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13147953?\nAnswer: 3, 7, 13, 17, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 3*u - 8*u)*(1 - 2 + 3) - 2*u - 2 - 30*u - 34*u.\nAnswer: -72*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 15. Let a(l) = 10*l + 91. What is a(u) + 6*r(u)?\nAnswer: 16*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1333032\/71 or -18776?\nAnswer: -18776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 - 155 + 2*b + 300.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*i**2*w**3 + 2513*i**2*w**2 + 2*i + 27*w**3 - w**2 + w - 19652 wrt i.\nAnswer: -188*i*w**3 + 5026*i*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5749766, -3\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 16, 0.5, -3 in descending order.\nAnswer: 16, 0.5, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 4, p: 2, t: 1}. Give prob of picking 1 t, 1 p, and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q + q**2 + q**2 + q**2 - q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(500) + (sqrt(720) - (sqrt(720) - (-3 + sqrt(720)))))**2.\nAnswer: 288*sqrt(5) + 11529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. Let r(n) = 7*n**3 - 5*n**2 + 27. Let i(j) = -11*j**3 + 8*j**2 - 41. Let y(c) = -5*i(c) - 8*r(c). What is y(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532173?\nAnswer: 1532173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673.93 - 674. Which is the closest to -6? (a) -1\/7 (b) 5 (c) 1\/3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -67. Let l = -493.94 + 484. Let q = l + s. Round q to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 725749828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (182\/(-14))\/((-2)\/(2*3)). Suppose 28*y - s*y - 55 = 0. What is the closest to -1 in -7, 1\/4, y, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60605046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -15*c - q + 70, -7*q = 3*c - 40. What is the remainder when 1034 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 1169, 3032, 5641, 8990?\nAnswer: 13073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/32 (b) -1\/10 (c) 4 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.7. Let l = r - 5. Let j be 0 + (-164)\/(-176) + (-9)\/12. What is the third smallest value in j, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -768593464 and -13.8.\nAnswer: -768593477.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-18\/7)\/h)\/h*h)\/h**(-3)*(h*h*h\/(h*h\/(h*h**(-8))))**(9\/8) assuming h is positive.\nAnswer: h**(-205\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -34 + 4*u**3 - 5*u**3 + 12 + 21*u + 9 + 18*u**2. Let d be w(19). Solve -16*t - d = -11*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10165 is divided by 1411?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(-4*sqrt(720) + sqrt(720)))\/sqrt(12)*-5)\/((-1*-2*sqrt(36))\/((2*sqrt(3) + sqrt(3))*-2)))**2.\nAnswer: 364500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6881523 and 5630337.\nAnswer: 61933707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.144544626 to 4 dps.\nAnswer: -0.1445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-8)\/72)\/(16\/12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (22\/5 - 6) - 3\/5. Solve v = -5*d - 49 + 84 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.367 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -60. Let p be d\/(4\/(-3) + 2). Calculate the highest common factor of 210 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4\/32*-2*-50. Solve 0 = -w + 4*b - 2*b - 5, 3*w + 2*b - x = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqyxllyxgdyxxlx. Give prob of picking 1 q and 1 g.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)*2*5)\/(sqrt(1440) - -6*(sqrt(1440) - (sqrt(1440) + (sqrt(1440) - sqrt(1440)*-1 - sqrt(1440) - sqrt(1440)))))*-5.\nAnswer: -25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1. Suppose 1 = -4*x - 3, -2*x = -2*n. Let j(o) = -6*o + 10. Let z(y) = n*j(y) - 5*b(y). Is z(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564846 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 15*o. Let x(s) = -571*s**2 + 57*s. Calculate -4*n(i) - x(i).\nAnswer: 575*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 12713305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*c**2 + 8890092*c + 4849128.\nAnswer: 4*(c + 202047)*(11*c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s**4 + 0*s**3 - 24\/5*s**5 + 0*s**2 + 12 + 24*s. Differentiate g(c) with respect to c.\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*c**3 + 209*c**3 + 1 + c - 16*c**2 + 1 as s*c**2 + j + h*c + d*c**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*t - 189*t + 443*t + t**2.\nAnswer: t**2 + 533*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 31*b + 524. Give s(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + sqrt(405) + 0)**2 + -4).\nAnswer: -324*sqrt(5) + 2460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211166.1t in milligrams?\nAnswer: 211166100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/3 + 2*p**3 + 4*p**2 - 3*p. Let n(x) = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41\/3050 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001179315 rounded to six dps?\nAnswer: 0.001179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**2 - 10*y - 59. Let d(r) = -r - 1. Let g(m) = -6*d(m) + l(m). What is the derivative of g(x) wrt x?\nAnswer: -22*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 4*m**3 - 11*m**2 + m**4 + 0*m**4 - 247 + 247. Find the first derivative of l(u) wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50600856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/26, 22159, 0.5, -2\/3 in increasing order.\nAnswer: -2\/3, 3\/26, 0.5, 22159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, 4, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-8*p**2 + p**2 - 5*p**2)*(2 + 12 - 3).\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693879655?\nAnswer: 5, 7, 137, 144709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -6.2?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 + 645 = 4*z + 5*b, -4*b + 1120 = 4*z. Suppose z = 18*p - 10*p. What is the greatest common divisor of p and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3609 - 11185 = 2989*x - 20675 - 29987 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0.09927, 5, -1203, -2, -5?\nAnswer: 0.09927","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*t - 17614, -25*f + 23*f = t - 11760. List the prime factors of f.\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 1999*b**2 + 1998*b**2 - 185 - 242 in the form j*b**2 + d + w*b**3 + f*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**7\/1680 - 223*w**6\/240 + 49729*w**5\/80 - 11089567*w**4\/48 + 2472973441*w**3\/48 + 8*w**2 + 23. Factor n(p).\nAnswer: (p - 223)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801.806 litres in millilitres?\nAnswer: 8801806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-8)\/20)\/((-20)\/(-475)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, a: 2, j: 4, h: 4, x: 3, l: 1}. Give prob of sequence lh.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -28, -17, -2, -1049 in descending order.\nAnswer: 3, -2, -17, -28, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:43 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 w, and 1 y when four letters picked without replacement from xqgyhqwgxhww?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)*l)\/(l*l**(-1\/4)*l))\/(l*l**3*l*l*l**(2\/11)))\/(((l**(-2\/3)*l)\/l)**10\/(l**4*l**4)) assuming l is positive.\nAnswer: l**(889\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 5062626762191.\nAnswer: 5062626762190.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1403673, -1403671, -1403669, -1403667, -1403665?\nAnswer: -1403663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a hour?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, i: 1, n: 1, y: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -763 + 2435. What is the second derivative of v*y**4 - 73*y - 1577*y**4 - 9*y wrt y?\nAnswer: 1140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-4)*9\/12 and 31\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efffeffffffffefefff. Give prob of picking 3 f.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39741, 39748, 39757, 39768, 39781?\nAnswer: 39796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*i - 3*q + 4*q, 0 = -3*i + 2*q - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*t + 2*c, -t = t - 5*c - 45. Let r(q) = -q**3 + 13*q**2 - 12*q. Let v = -48 + 59. Let g be r(v). What is the highest common factor of t and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 + 35*h + 6. Let g be a(-9). Solve 6*d - 9*d + g = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -26. Put o, 0, 13, 3 in increasing order.\nAnswer: 0, 3, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 60 (b) 2 (c) 105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 168192, 336355, 504518, 672681, 840844?\n\"Answer: 168163*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 2\/15 (c) -1\/14 (d) -3\/8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -49. Which is the nearest to l? (a) 1\/2 (b) -5\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20*d. Let q(g) = -9*g - 10*g + 18*g + 216*g**2 - 208*g**2. Determine p(q(m)).\nAnswer: 160*m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1091*a**3 + 4004*a**2 wrt a.\nAnswer: 6546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4*f - 2*f - 2*f) + (11*f + 14*f + 7*f)*(-5 + 2 + 2)*(2 + 1 - 1).\nAnswer: -72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = -4. Solve j*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 5:40 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/9 + 166618*i\/9 + 6940389481\/9 = 0.\nAnswer: -83309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 3. Let u be v(3). What is the third derivative of -3*p**2 - p**2 + u*p**2 + 3*p**6 wrt p?\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248*b**6 + 2926*b**5 - 2*b**3 - 121*b**2 + 3975*b + 5 wrt b.\nAnswer: -29760*b**3 + 175560*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119270 and -0.2.\nAnswer: 23854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18\/3 - (-3 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 + l + 1. Let c(d) = -9*d**2 + 3*d + 1. Let q(y) = -6*c(y) + 11*r(y). Calculate q(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -238*u - 9. Let d(h) = -954*h - 39. Give 4*d(t) - 17*w(t).\nAnswer: 230*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 6*u**2 - 25*u + 149. Let r be l(6). Let o = 1.82 - -0.18. Let y = -0.01 + -3.99. Which is the smallest value? (a) r (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)*(t\/(t**5\/t))\/t)\/(t*t*t*t*t**6*t**9\/t))**36 assuming t is positive.\nAnswer: t**(-800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 2*f - f - f**4)*(18 + 365 - 1103 - 1060) as d*f + u + h*f**2 + t*f**4 + g*f**3 and give d.\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 11*c + 893 = 0. Let f be (-2 + 1)\/(2\/(-38)). Let w = c + f. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2675\nAnswer: -2\/2675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/88 and -63\/2200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 9\/134, 2\/3?\nAnswer: 9\/134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 3. Let d be h(-10). Let n(b) = 22*b**2 + 4*b + 4. Let s(q) = 43*q**2 + 8*q + 7. Let f(o) = d*n(o) - 4*s(o). Factor f(y).\nAnswer: -2*y*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(81) + sqrt(54)\/(sqrt(18)\/sqrt(3)))\/(sqrt(27)\/(1*sqrt(36)\/sqrt(4))).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -31225?\nAnswer: -31234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, v: 2, p: 1, s: 2}. What is prob of sequence sspw?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Suppose -b - 3*n - 6 + 2 = 0, -4*n = 3*b + 7. Let s be (-1 + 0)*(0 + b). Is s at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + sqrt(78)*-1) - sqrt(78))*-4)\/(sqrt(24)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2274 and -5.\nAnswer: 1.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 689425 - 689425 + 7*m**2. Let c(w) = -3*w**2 - w**2 + 5*w**2. Calculate c(t(a)).\nAnswer: 49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -5, -6, 14, -2, -4 in descending order.\nAnswer: 14, -2, -4, -5, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 60*i**3 + i**2 + i**2 + 2 + 72*i**3 - 174*i**3 + 59*i**3 + 3*i. Give g(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 2*y**3 - 3*y + 16*y**2 as h + j*y**3 + w*y + d*y**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(12 - (-931)\/385*-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166.0968 + 166. Let i = 0.9 + -1. Let k = v - i. Round k to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 7. Let f be (-82)\/j + 1\/3. Suppose 3*y = -3*u + 126, -3*u + f = -1. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2.9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257260188 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253 + 253. What is the nearest to m in 0.2, -0.5, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5324179 a multiple of 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 2*s + 4*s)*(4 - 2 - 5)*(-1 + 2 - 2)*(-1 - 2 + 5) in the form d + c*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 - 198. Let o = 1.43 - 2.43. Let n = -0.04 + 0.24. What is the fourth biggest value in 5, n, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 4. Let c be z(13). Let h(i) = -i**3 - 2*i**2 + 7*i + 1. Let l be h(-4). Solve m + c + 2 = 5*d, l*m = -5*d + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 91\/944, 5, -0.3?\nAnswer: 91\/944","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -6*r + 17*r. What is the lowest common multiple of r and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 32*w + 81. Let l(g) = -32*g - 66. Determine -5*j(c) - 6*l(c).\nAnswer: 32*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - -0.14. Sort -4, -0.1, d in ascending order.\nAnswer: -4, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09 and -3045566.277028?\nAnswer: 3045566.187028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*a - 16. Let p(b) = -b**3 + 10*b**2 - 8*b - 2. Let u be p(a). Suppose u = 5*z + 2. Sort z, 5, 4 in decreasing order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**4*d + 273*b**4 + 3*b**3*d + 102*b**3 + 444593*b**2 - 9*d wrt b.\nAnswer: 96*b*d + 6552*b + 18*d + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-33)\/(-44). Which is bigger: -27 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5723 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 84, 0.1, -25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 - 27 - 81 - 25 + 50 to the form r*f**2 + d*f + x and give x.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1584, 9, 2\/25, 2\/9, 0, -0.26, -2?\nAnswer: 1584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1096044 and 5592?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Let i = s - -2. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3\/3 - t**2\/2 + 7. Let w(d) = -5*d**3 - 5*d**2 + d. Let l(u) = -f(u) - w(u). Find the third derivative of l(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-2)\/2 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -749 (b) -0.04 (c) 3\/448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 - 190 = -475*x + 140 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/20 + 2*z**4\/3 + 8*z**3\/3 - 15*z. Determine n so that a(n) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 - -46. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, -3298, 0.2, -2\/9, 518, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -12.415343.\nAnswer: 74.492058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*l - 84*l + 1104. Round l to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-180)*2\/(-4))\/((-134)\/4690)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15045?\nAnswer: 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2033 (base 4) to base 10\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 18.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c - c**2 - 9 - 6*c - 3*c to the form x + m*c + w*c**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 204. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhdh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 960?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/45)\/((-33)\/(-12) - 3 - 4029\/(-19908))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*j + 2, -4*w - j - 8 = -0. Let b be (-13259)\/3 + -2 + (-5)\/w. What is b rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 103.77. Let v = 0.03 + p. Let w = 0.6 - v. What is the biggest value in w, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 444, 437, 430, 423?\n\"Answer: -7*g + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15, -o + 4 = -2*j + 3*j. Suppose 0 = -18*x + x - 68. What are the prime factors of ((o + x)\/(-5))\/(1\/(-23))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23481 + 5819 = -718*z + 13930 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 126\/10*(-3 - -8). Let k be (((-45)\/(-6))\/5)\/((-5)\/b). Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktd when three letters picked without replacement from {l: 2, c: 1, t: 1, d: 2, q: 1, k: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -49. Suppose 0 = -t + k - 3. Suppose -34 = -2*h + 4*v, h + 2*v = v + t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1302746 to 2 decimal places.\nAnswer: 5.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 8*v - 8. Let k be (15\/6 - 4)*(-110)\/33. Let i(q) = -7*q - 7. Calculate k*m(u) - 6*i(u).\nAnswer: 5*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (4 + 2 - (43 - -4))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 60*b - 13 - 3*b**2 - 15 - 28 + 44. Calculate k(29).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 - 139813*l**2 - 4886988648*l - 4886848836 = 0. Calculate l.\nAnswer: -69906, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*f = -g - 82*f + 11, 0 = 2*g + 3*f + 53 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.493 - 62.184815. Let i = u + -0.309. Round i to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 27745*z**3 - 38751565*z**2 + 726794075*z - 688070250 = 0. Calculate z.\nAnswer: 1, 18, 2765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1822 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) 5 (c) 12\/43 (d) 2 (e) 1\/3 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 3, -1, 1.1, -2.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)\/r)**(-7\/9)\/((r\/(r**(2\/3)\/r)*r)\/r)**(-1\/7))\/((r*r*r\/(r\/r**(1\/5))*r*r)\/(r\/r**7))**(-2\/27) assuming r is positive.\nAnswer: r**(1033\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 4, 10, 131, 18, 1.\nAnswer: -3, 1, 4, 10, 14, 18, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6 and ((-1)\/((-16)\/(-388)))\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -49*c + 41. Suppose -4*d + 3*j - 19 = 0, d + 6 = 5*j + 14. What are the prime factors of i(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 2, l: 10, j: 5}. Give prob of sequence ll.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g - 78. Let i(s) = 5*s + 26. Let o(m) = -17*i(m) - 6*k(m). What is the units digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 - 9837*c**4 - 1356414*c**3 - 6565914*c**2 - 3833487*c + 11765655 = 0.\nAnswer: -3135, -139, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6*w - w = -13, 2*t = -2*w - 4. What is the remainder when t is divided by (-12)\/(-15) + 2\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6500 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 1351*u**2\/4 + 133875*u\/2 - 413838.\nAnswer: (u - 6)*(u + 249)*(u + 1108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - -8. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = 4*b - 56 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*r**3 + 118*r**6 - 625*r**2 + 39*r**6 - 700*r**2 - 8*r**3 - 9*r**3 wrt r?\nAnswer: 18840*r**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/15, 2, -4, -1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i**2 - 4*i + 6. Calculate q(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3*b = 20, -2*y - b = -15 + 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 665277373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5, -2*q = -h + 8 + 13. Suppose h = 3*o - 16. Let j = 71 - o. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 5. Suppose -4*q - 8 = -2*q. List the prime factors of x - (q + 3 + -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047941 + 0.29?\nAnswer: 0.337941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*(d**2 + 0*d**2 - 2*d**2) - 2*d**3 + d**3 + 2*d**3 + 0*d**3 - 4*d**3 + 5*d**3 - 2*d**3 + 6*d**2 - d**3 + 4*d**3.\nAnswer: 4*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.87 times -3?\nAnswer: 20.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 5*d**2 - d + 3. Let f be o(-3). Let j(q) = q**3 - 12*q**2 - 14*q + 15. Let p be j(13). What is the tens digit of (f\/12)\/(p\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55040000 rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/33865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-2))\/(4\/(4\/(-2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*j + 7*j**3 + 928*j + 3*j**3 - 573*j - 176*j.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 65441.258 + -21461\nAnswer: 43980.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 12. Calculate c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4 + 10894*d**3 - 2*d**2 - 85397*d.\nAnswer: -72*d + 65364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r + 99 = -3*g, -3*r = 2*g - 116. Let q = 2993 + -2930. Calculate the greatest common factor of r and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 400?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -52252434 (base 8) in base 7?\nAnswer: -163216566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 965645 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15370859?\nAnswer: 7, 41, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2841 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c, 3*q - 2*c + c = -78. Let b(p) = -15*p - 200. Calculate the remainder when b(q) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 69*u**3 - 27*u**3 - u + 6*u**3.\nAnswer: -90*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11761 (base 8) to base 13.\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*q**2 - 389504 + 389504.\nAnswer: 459*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -107.00002422. Round y to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2646*66\nAnswer: -174636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252725 minus 241933?\nAnswer: 10792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let c(t) = 1. Let i(u) = -4*c(u) - 3*d(u). Determine i(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 314\/20 + -2 + (-66)\/44. Let x = n + -12. What is the third biggest value in 1, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and ((-9)\/(72\/(-112)))\/(4\/6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1380*k - 193192. What is t(-140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**2 + k + 1. Let n(w) = w - 29. Let x be n(9). Let q be 5\/x - (-3)\/(-4). What is the remainder when 29 is divided by p(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 774*a**3 + 52191*a**2 + 292572*a + 428652 = 0. Calculate a.\nAnswer: -126, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*o**2 + 4722502*o + 885468 = 0. Calculate o.\nAnswer: -147578, -3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13318867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d = 644*d + 7700 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 707291826?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = -2*i, 0 = -5*b - 5*i + 245. Calculate the remainder when 270 is divided by 3\/((6\/b)\/1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, -4, 4, 17, 0 in decreasing order.\nAnswer: 17, 15, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61605319393\/4158 - -311142494\/21. Let y = l + 3562\/189. Let u = y - 234. What is the biggest value in u, -1, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-18)\/(-96)*10132\/(-2682).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 17981545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2263342 and -13580059\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -q - 0*q - 300 + 307, 0 = 3*m + 4*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294 (base 15) to base 7.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350*o**3 - 4699*o**3 + 2353*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6 - 0. Suppose r*i - 9 = 23. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436815107177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q + 154. Let i be w(36). Which is the third smallest value? (a) 0.3 (b) i (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 (base 8) in base 11?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1 - (-25 + 42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 54*v - 3. What is the remainder when g(2) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -461\/3 + 155. Which is the second biggest value? (a) k (b) -0.01 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -23*d**5\/20 - d**4\/2 - 2*d**3\/3 - 3755*d**2\/2 + 2*d + 245. Differentiate n(h) wrt h.\nAnswer: -69*h**2 - 12*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27011, -23842, -20673, -17504, -14335?\nAnswer: -11166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.38222 + -11.5826. Let b = o - -1.2. Round b to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 153*p**2. Let b(n) = -4*n**3 - 7*n - 7. What is the remainder when m(-1) is divided by b(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8501)\/2)\/((-7)\/14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 582532529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g + 5. Let s(k) = 14*k + 8. Let i(n) = -5*s(n) + 8*v(n). Let q be i(-1). Let d be 3 + (q - 3\/(-1)). Solve m + 2*m = 4*x - 23, 25 = d*x - 5*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t. Let w(z) be the first derivative of -3*z**2\/2 + 6*z - 1657. Calculate u(w(f)).\nAnswer: 33*f - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-30)*3\/(-2). Let w be o + 9 - 4 - -13. Suppose -19*z = -w*z. Solve i + 2 - 3 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkke when four letters picked without replacement from eeekkeeeeek?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63226166?\nAnswer: 2, 1103, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 3:35 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 15 - 11)*(2 - 2*i - 2) to t*i + j and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 376119 and 395?\nAnswer: 1880595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - 2*o**2)*(5*o + 2*o**2 - 5*o) - 4*o - o - 2*o**2 + 8*o**4 + o.\nAnswer: 10*o**4 - 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p\/(p**(1\/4)\/p)*p)\/p)\/p*p**(1\/8))\/(p**(-2\/23)*p**(-2\/5)) assuming p is positive.\nAnswer: p**(2173\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 4 + 9 + (11366 - 11356) + -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {h: 9, p: 6, d: 2, c: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-40)\/(-168)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194190493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -13*b. Let q(i) = 7507*i + 3. Determine q(k(f)).\nAnswer: -97591*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8489.\nAnswer: 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + z - 3 = 0, -2*s - 2*z = -5*z + 9. Let a = 1 + s. Suppose 0 = -o - 12*o + 39. Solve a + o = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 5*y + 5. Suppose -3 = y*q - 128. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-2 + 0 + 0). Let n be 250\/40 - d\/(-4). Suppose y = -n*y + 84. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**3*q**2 + 5*f**3*q - 3*f**2*q + 23*f*q**2 wrt f?\nAnswer: -60*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0.8. Let r = 1255 + -1255.8. Put -5, u, r in ascending order.\nAnswer: -5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 54*w + 106 = 538 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 10:44 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*b - 9092*b = -254*b - 28972 - 44450 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 409*l**8\/168 + 41*l**4\/24 - 8*l**3\/3 - 1877*l**2. What is the second derivative of x(c) wrt c?\nAnswer: 16360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 6. Let v be u(6). Let x = v - -40. What is the remainder when x is divided by 2*(0 - 4)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/14*(-21)\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (360*y + 428*y - 494*y - 3 - y**2)*(12*y**2 - 5*y**2 - 2*y**2) in the form z*y + m*y**3 + v + q*y**2 + r*y**4 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637515910 a multiple of 2018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/6*(-6)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 16*i - 1860. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*b = 962 + 3583 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 + 1342192068.\nAnswer: 1342192067.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726 is divided by 513?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(9)\/sqrt(3) - (sqrt(300) + 1 - sqrt(300))**2.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 3*sqrt(76))\/sqrt(4) + sqrt(1539)*1)*-3.\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3 and -79\/1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261130 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 1 + 1)*(21*z**3 + 3*z**2 - 5*z**2 - 20*z**3).\nAnswer: z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let r(s) = -4*s - 3. Let i be r(-2). Let a(u) = 3*u + 8. Let z(f) = 6*f + 17. Let o(l) = 13*a(l) - 6*z(l). Give i*x(j) + o(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2*((-6)\/(-4) - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 745*n**3\/3 + 363*n**2 - 526. Find the second derivative of v(c) wrt c.\nAnswer: 1490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 4*x**2 + 0*x**2)*(-16647 + 16685 + 491*x - 555*x) + 0*x**3 + 2*x**3 - 4*x**3 in the form b*x + y + t*x**3 + j*x**2 and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 6*z + 3*z + (-z - 2*z + 2*z)*(-1 + 3 - 3) as k*z + h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (2 + (4 - -5)) - (-2 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, 10, -2\/3, -71, 0, -54?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z - 25. Give u(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-26) - 644056\/(-403)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - d + 7, l - 2*d = 2*l + 16. Let o be 8\/l*(-10)\/4. Suppose -o*f + 1 = -9. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/2 - 29546253*y\/2 + 29546255 = 0.\nAnswer: -29546255, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - a4?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1910258095.29 less than -648?\nAnswer: 1910257447.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2.3. Which is the third biggest value? (a) v (b) -5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -780 or 54\/11?\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 - 2843*u + 25668 = 0. Calculate u.\nAnswer: -2852, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146698.\nAnswer: 2, 41, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34359 (base 12) in base 8?\nAnswer: -207765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 43.0712 and 7.\nAnswer: 50.0712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 0. Let a = c + 2. Let r = 0.32 + -0.02. Sort 0, a, r in descending order.\nAnswer: r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/491 at most as big as -1379.943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 78, 64, 54, 48, 46, 48?\n\"Answer: 2*z**2 - 20*z + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 312 = -2*r + 3*a, 4*r + 2*a = 614. Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1972 and 25\/44.\nAnswer: 21692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*j + 54 = 0. Let a = -9 + j. Calculate the lowest common multiple of 2\/(-8) - (-25)\/4 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 25*y**2 + 12*y)*(3*y**2 - 2*y**2 - 3*y**2) - y**4 - 3 + 3 + y - 3*y - 3*y**4 + 0*y**4 + (0*y**3 + 0*y**3 - 2*y**3)*(-4*y + y + 2*y).\nAnswer: -52*y**4 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*h - 8 = -72*h + 5*f, 10 = 5*h - 5*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 75. Let f(c) = c**2 + 16*c + 23. What is f(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*k**2 - 7 + 7 - 203*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*p - 367. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q**2 + 8 - 8 + 0 in the form i*q**2 + w*q + k and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-23 + 1 - -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 4, 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.07 + 52.08. What is the third smallest value in w, 1, -0.07, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 533\/147 - 398\/(-597)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-30))\/((-2)\/245) and 42\/(-28) - (-87)\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16 + 1\/(1\/3). Let u = g + -16. Let v(x) = x**3 + 4*x**2 - x - 3. Let j be v(-4). Solve -7 + j = -u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -1166, -3905, -9236, -18023?\nAnswer: -31130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 134213 (base 5) to base 16\nAnswer: 15b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (-16 - -20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (298\/(-5))\/(2 + 10) and 3\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 4*x**2 - 2*x + 4. Suppose -25 + 21 = -v. Let l be n(v). Let b = -0.3 - -0.5. What is the nearest to -1\/4 in l, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 10 = -x, 2*x + 18 = 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4\/7, -1\/5, -2\/37, -0.01157 in decreasing order.\nAnswer: 4, -0.01157, -2\/37, -1\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -498, -998, -1500, -2004, -2510?\n\"Answer: -u**2 - 497*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147098 - -4429681?\nAnswer: 3282583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*l + 840*l - 3006*l.\nAnswer: -2794*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8527 divided by 241\nAnswer: 8527\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 179, 238, 337, 476, 655, 874, 1133?\n\"Answer: 20*i**2 - i + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i = 37*i + 630. Let n = 19 + -17. Suppose -f + n*f = -4*o + 18, 5*f = -3*o + 39. What is the greatest common divisor of i and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 11*o**2 - 14*o + 8. Let n be i(9). Suppose -2*b + 148 = -n. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*b = 143*b + 10524. Is b a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*t - 2 = -3, -3*t - 6 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-123 + -1)*116\/174*1098\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - r + 18 = -4*i, 5*i + 2*r = -23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (6 - 13) + 10 - 24) + 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22891 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 903431.4ns?\nAnswer: 0.00001505719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + o**5 - 2)*(0 + 3 - 1) + 3*o + 78*o**3 - 160*o**3 + 2*o**5 + 79*o**3.\nAnswer: 4*o**5 - 3*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 3*z**3 - 3*z**3 + (-2*z - 14*z - 5*z)*(-3 - 3*z**2 + 3)*(-1 + 6 - 3).\nAnswer: 128*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:44 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -397293 divided by -3\nAnswer: 132431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 4*q - 1, -53*z + 5 = -48*z - q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 32. Which is the closest to -1\/3? (a) -4 (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*m + 17*m + 7*m + 18245. Calculate the greatest common factor of 178 and m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = x, 0 = -x - 3*p + 31 - 4. Let o be 3*58\/x*20. Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392814533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + 0.21. Let b = 0 - -0.1. What is the nearest to b in -5, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Let d(l) be the third derivative of -l**5\/30 - l**3\/6 - l**2. Let m(v) be the first derivative of d(v). Calculate j(m(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**3 - 13 - 13*v**3 + 10 to the form f*v + s*v**2 + a + o*v**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -5. Suppose 4*s = k*s. Suppose l - 2*t - 1 - 17 = 0, 4*t + 4 = s. What is the greatest common factor of l and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-126)*-9*(-2280)\/9120?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let n(u) = -6*u. Let h(c) = -4*n(c) - 21*y(c). Suppose -2*g = g - 3, -1 = i - 3*g. Let t(d) = -3 - 2*d**i + 3. Calculate h(t(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -189 - -188.98. Let v = 0.305 - j. Round v to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) -2\/7 (c) 24\/17 (d) 0 (e) 2\/107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 63104307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l = 32. Suppose -9*x + l*x + 5 = 0. Suppose o - u + 0*u = 2, -x*o + 4*u + 7 = 0. Which is the closest to -2\/5? (a) o (b) 2\/33 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-93)\/15 + (-2)\/(-10). Let f = -585.9 + 199.7. Let t = -386 - f. What is the third smallest value in -1\/3, x, -7, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*t - 3, 2*u = 5*t + 7*u + 5. Let h(o) be the third derivative of -1\/4*o**4 + 0 + t*o**3 + 0*o + 4*o**2. Calculate h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2665.72672096 and -1255.\nAnswer: -3920.72672096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-589)\/551 - (4\/(-58) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7928, -31700, -71316, -126776, -198080?\n\"Answer: -7922*i**2 - 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 9*w + 10300000. What is w rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 - (40\/4 - 1717) is divided by 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 367, 360, 351, 340, 327, 312, 295?\n\"Answer: -i**2 - 4*i + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 67 - 5 = 0. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.0531037?\nAnswer: -0.5531037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)*n)**42*n\/n**(-2\/17)*n**2 assuming n is positive.\nAnswer: n**(2777\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 + 649*r**2 - 104317*r\/2 + 51510.\nAnswer: -(r - 1212)*(r - 85)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000140340054 rounded to seven decimal places?\nAnswer: -0.0001403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29733.\nAnswer: 3, 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6 + 0 + 5110*c - 5109*c. Give s(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14754147 + 9*k**2 + 14754147 - 2*k**2 - 6*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -5 + 4\/9*v**2 + 11\/9*v**3 + 2*v + 4\/27*v**4. Determine h, given that u(h) = 0.\nAnswer: -4, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*x**6 + 15*x**3 - 3*x**2 - 372 wrt x?\nAnswer: 1560*x**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -8*q**3 + 12*q**2 - 4*q = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10100441209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 26454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103)\/((-6180)\/(-4680))*(-1)\/2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g = -61*g - 59*g - 1508 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/3, -0.06, 17.6 in descending order.\nAnswer: 17.6, 2\/3, 2\/9, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -5, 207, 0.\nAnswer: -5, -3, 0, 11, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 260.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 11*f + 5. Let p(v) = 48*v - 587. Let o be p(12). What is n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975 = 138*g - 77 + 86. Solve 21 - g = -2*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 28*u**3 + 3*u + 10*u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 147, 139?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -133 (b) 3\/53962 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-186)\/(-527))\/(2\/34)*(-1)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7176611, -14353254, -21529899, -28706546, -35883195, -43059846, -50236499?\n\"Answer: -u**2 - 7176640*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23686 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 3*x - 168, 42*f = -8*x - 0*x + 2126 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 77. Let w be (i - -10) + (-12)\/(-2). What is the highest common divisor of 187 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/80 and -9\/94.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s - 25. What is the smallest value in s, -2, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169825409 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/(q\/q**(-13))*q))*q**(-2\/29))**(-38)\/((q**1)**(-20))**(-5\/7) assuming q is positive.\nAnswer: q**(82486\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10113310 - -2?\nAnswer: -10113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/4 + 2*v**3\/3 - v + 3886. Determine l(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*y + 25*y + 1349372*y**2 + 5 - 1349376*y**2 + 1.\nAnswer: -4*y**2 + 93*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 521 + -1535\/3. Let v(n) be the first derivative of 24*n**2 + 1 + 16*n - c*n**3. Determine b, given that v(b) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -503, -914, -1491, -2234, -3143?\nAnswer: -4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 11:36 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 - 293*z + 23. Let c(q) be the second derivative of 85*q**3\/3 - 6*q. What is c(s(g))?\nAnswer: -170*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.536935 nanograms to kilograms.\nAnswer: 0.000000000002536935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 3700*x - 3695 = 0. Calculate x.\nAnswer: 1, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 390\/(-609) - 24\/(-42)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*z - 318*z = 12905. What is the smallest common multiple of 55 and z?\nAnswer: 4895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (16 - 0) - (-6 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*v = 4*p - 43, -p - 4*v = 9. Let y(x) be the second derivative of -46*x + 0 + 1\/3*x**3 + 9\/2*x**2. Let k(j) = -j - 5. Determine p*k(s) + 4*y(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 87.996\nAnswer: 35.1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 72328*c**2\/5.\nAnswer: 2*c**2*(c + 36164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59699968*b**3*t - 2*b**2*t - 2*b**2 - 3*b*t + 2*b - 399*t - 368 wrt b?\nAnswer: -358199808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1086153137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1.73462\nAnswer: -6.93848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*s + 16, 6*s + 18 = 5*s - 4*y. Let n(b) = -24 - 18 + 2*b**2 + s + 11*b - 2. Let i be n(12). Calculate the highest common factor of 54 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/3 - 10*g. Let d(a) = 4*a - 4*a + a**2. Let v(k) = -2*k**2. Let b(z) = 3*d(z) + 3*v(z). Give y(b(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.096 minus -83026166.6?\nAnswer: 83026168.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(3\/(-396)). Let u be (-4)\/(-14) + n\/14. Suppose 0 = -4*y - 2*o + 72, o + 68 = 3*y - o. What is the greatest common divisor of y and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + -4 + -5 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2, h - 25 = -2*b - b. Let c be (-141)\/(-117)*b + (-2)\/(-13). Calculate the highest common factor of 121 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3.8. Let q = 1 - t. Let n = -3907638.5 - -3907639. Which is the biggest value? (a) 0.4 (b) -5 (c) n (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.1 - -0.1. Let k = -5.0000001 - t. Round k to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7467 and 393?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -31*j**2 + 6. Let d(n) = 250*n**2 - 50. Let c(g) = 25*a(g) + 3*d(g). Let t(k) = -16*k. Calculate c(t(p)).\nAnswer: -6400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31563374 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*v + 1091*v + 382 = -530 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10819 - -10823.024. What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560073?\nAnswer: 3, 23, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2736) - (5 + sqrt(2736) + 1)) - (-1 + (-1*sqrt(2736) + sqrt(2736))**2)*-1)*-6 + -4.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 - 8*m - 7. Let i be z(-5). Let p be (-25)\/1*(24840\/225)\/(-46). What is the greatest common divisor of i and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 73*g**2 + 1. Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 2\/13*r**2 + 2\/13*r - 2\/13*r**3 + 1. Suppose z(a) = 0. Calculate a.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 11}. What is prob of picking 2 h?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + r = -3*z + 11, -r + 2 = 2*z. Solve 2 = 2*f - 3*f - z*t, -f + 2*t - 7 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1336564, 1336567, 1336570, 1336573?\n\"Answer: 3*h + 1336561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 707\/2 - 342. Let x = -1401865 + 11141497\/8. Let o = x - -9166. What is the common denominator of o and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 14*o**2 - 50*o + 711. What is r(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34695340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 3*p - 6. Let t be a(5). Let z be 667\/t + (-6)\/8. Let g = -97 + z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2430 and 3301398.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:39 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17705355 divided by 4443.\nAnswer: -3985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61448.00072 - 61427. Let c = -67 + 46. Let q = c + o. Round q to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 50 (b) -0.5 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 119, 90, 75, 80, 111, 174, 275?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbb when three letters picked without replacement from {v: 2, b: 4, j: 1, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 25?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*(0 + (3 - 4)))\/1. Solve -12 = 4*x + c*b, -4*x - 2*b = -3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/5)\/(8\/(-200)). Let m(c) = -2 + a*c - 16*c + 15*c. Let h be m(1). Do h and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -83, 2 in ascending order.\nAnswer: -83, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -4.4521231.\nAnswer: -5.0521231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -1100?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609101, -609172, -609243?\nAnswer: -609314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 932c - 18d?\nAnswer: 918e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11781, -47711, -107809, -192093, -300581, -433291, -590241, -771449?\nAnswer: -976933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/641 - -48079\/2564. Let l = w + -367\/20. What is the biggest value in -3, 3\/7, l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 - 4*g**2 + 6*g + 17. Give u(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-48)*(-1 + (-174)\/10). Let z = 7\/6 + r. Suppose -z*o**2 + 4\/5 - 2\/5*o = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(128).\nAnswer: 4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*m**3 + 9394187*m**2 + 315379123*m wrt m?\nAnswer: -318*m + 18788374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g - 10*g + g)*(g**2 - 2*g**2 + 2*g**2) + (17*g - 6*g + 4*g)*(2*g - 3*g + 0*g + g**2) to the form x*g**2 + k*g**3 + q + a*g and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84)*2 - sqrt(84) - sqrt(84)) + -1*sqrt(84)*-2)\/(((sqrt(84) + sqrt(84) + sqrt(84)*-1 + sqrt(84))*-5)\/sqrt(7)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-960)\/488 + (-2)\/61?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 32*r - 8. Let m be u(-13). Let q be 36\/16*(-22)\/m. Suppose -2\/3*y + q*y**2 + 1\/6 = 0. What is y?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14278 - 2?\nAnswer: 14276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3) + -3 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 34*u**2 - 6*u - 1 + 5*u**2 + 4 to l*u**2 + h*u + g and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 4:58 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1950876 and 7305408.\nAnswer: 343354176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4948 by -4.\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 1 m when three letters picked without replacement from acmcxmmmmxzez?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.784722 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -75 times -8816\nAnswer: 661200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-3) - (-78)\/117)*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:57 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x = 53*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0, 5, -1, -304?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 10. What is o(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 12:16 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1820)\/(-420) + (-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0 + k + 6 - 4 + 2. Let z be j(-4). Solve z = -5*p - 7 - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 20 = 29*a - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*l**2*s + 20372*k**3*l*s**2 - k**3 + 3*k**2*l**2*s**2 - 3*k**2*l**2 - 6*k*l**2 + 470*k*l*s**2 - k*s wrt k.\nAnswer: 12*l**2*s + 122232*l*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4718859, 9437721, 14156581, 18875439, 23594295?\nAnswer: 28313149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14938 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42 and 13818.\nAnswer: -580356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 less than 512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 61 = 3*o - 67, -4*f + 160 = 3*o. What are the prime factors of 1064 - (o\/14 + (-9)\/21)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*f + 12 = 0, -2*g - 3*f + 16 = -7*f. Let b(o) = 71*o + 1. Let j be b(g). Let r = j + -202. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.504301 kilometers in nanometers?\nAnswer: 9504301000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 79 - (-1118 + 1140)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 2\/9 (b) 2\/23 (c) -164 (d) 0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043787 times -1916?\nAnswer: -83.895892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + -2 + 1*(0 + sqrt(1088) - sqrt(1088)) + (sqrt(1088)*-1 + -4 - sqrt(1088)) + -2))**2.\nAnswer: 1152*sqrt(17) + 17732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*a - 2. Calculate the highest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/62)*r\/((r*r\/r**6)\/r)*(r*r**(-28))**(-9\/7) assuming r is positive.\nAnswer: r**(17663\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 615.5371 to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 227*r. Suppose -90*d + 89*d + 218 = 0. Let h(z) = 111*z**2 - d*z**2 + 108*z**2. What is j(h(k))?\nAnswer: 227*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -0.1, 117, 34.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-968)\/231)\/(-22))\/(12\/(-14)). What is the second biggest value in r, -12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -565677\/2 bigger than -282840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118080 and 5696.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927609796?\nAnswer: 2, 181, 1281229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:35 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 17160336?\nAnswer: 17160306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 99*u = -664 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2493, 48.31, 4 in decreasing order.\nAnswer: 48.31, 4, -1\/2493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 46 = 5*a, 2*a + 348 = -3*b + 421 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11352\/5*u**2 - 6678588\/5 + 4\/5*u**4 - 29584*u + 432\/5*u**3.\nAnswer: 4*(u - 21)*(u + 43)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d194a (base 14) to base 16.\nAnswer: 7b0ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*y + 5863 = 5977 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 - n + 71)*(9*n**3 + 2*n**3 - 10*n**3).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5873, 5903, 5945, 5999, 6065?\nAnswer: 6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 20. Let g = x - -5.3. Which is the closest to -0.1? (a) -2 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkew when four letters picked without replacement from {u: 6, w: 5, e: 3, k: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v**2 + 37*v - 7. Let g(l) = 4*l**2 + 12*l - 2. Let r(j) = 17*g(j) - 6*m(j). Let i be r(13). Let y = i + -67. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 17*g**5 + 7104*g**4 - 180781*g**3 + 193992*g**2 - 20332*g = 0.\nAnswer: -442, 0, 2\/17, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/(-8 + 14) + 20\/3. Put k, 2\/13, 1\/7 in ascending order.\nAnswer: k, 1\/7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + d**2 - d**2 + (-2 - 1 + 1)*(-2*d**2 + 0*d**2 + 4*d**2) + 2*d**2 - 10 + 13 + 0*d**2.\nAnswer: -4*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26442.093 + 26463. Let i = -20.6 + r. Let k = -0.30851 + i. What is k rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704) - ((2*(sqrt(704) + 2) - sqrt(704)) + sqrt(704))) + 3 + 1*sqrt(704) + 5)**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 236?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010222100 (base 3) to base 12.\nAnswer: 105909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*t - 8*t = 394, 5*z - t + 478 = 0. Find the common denominator of 7\/12 and (210\/z - -4) + -5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 3\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144 or -716\/5?\nAnswer: -716\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w - 340. Let b be d(-38). Solve b*u - 4*f - 3 = 3, -2*f + 27 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*8\/6 + 54068 + -54069\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36945+-0.3\nAnswer: 36944.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1080834286 rounded to 5 decimal places?\nAnswer: 0.10808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -147 + 47 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9305 - 6053. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*a + 9545 = -77*a. What is the remainder when 1896 is divided by a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/6 (b) -18\/613 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1608 - -1608.05. Let f = -60 - -778\/13. Which is the closest to 3? (a) o (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 23. Let i = -36 + 38. Suppose i*k - 6 = 0, v - 6*v + 4*k = -23. Calculate the least common multiple of l and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3231)\/1795)\/((-6)\/34610)?\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -1.01?\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78366 and 62715?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -150987 (base 10) in base 6?\nAnswer: -3123003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30 + 52\/104*-56. Solve -4\/5*n**c - 14884\/5 - 488\/5*n = 0.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 969 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/78)\/((-1203)\/3609)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3, a: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2 - 3*z - 177. Let b(c) = 17*c**2 + 7*c + 353. What is 4*b(a) + 9*l(a)?\nAnswer: -4*a**2 + a - 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4570 - -68548\/15. Let l be 1*2\/(-4)*1. Which is the closest to -2? (a) 1 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.1384t in kilograms?\nAnswer: 278138.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -12. Let g = -1.0307 + 0.0307. What is the biggest value in l, -5, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 150\/(-3) + (1 - -1). Let s = v - -47. Is 11 a factor of 231\/s*(-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71.11 + 0.89. Let z = 82 - i. Which is the closest to z? (a) 1\/4 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + (sqrt(1700) + -1)**2 + 4 - (sqrt(1700) + (sqrt(1700) - (-2*sqrt(1700) + 2)) - sqrt(1700))**2) + 2)*6.\nAnswer: -81582 + 660*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 minus 15.74?\nAnswer: -172.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsqwgsg. Give prob of sequence ggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -779192 divided by 563\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 39430928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125898838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 283628699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231243646 and 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1*(1 + -1). Suppose l = 5*p - j - 20, 6*p = 3*p + 4*j + 12. Let z be 2*(-3)\/(-12)*p. Solve -7*f = -z*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Let o = b - -5. Let s = 2 - 2.5. What is the third smallest value in s, o, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 9 - 3. Let v be (o\/(-6))\/((-16)\/(-240)). Let u(z) = z + 10. Determine u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 v, and 1 h when four letters picked without replacement from hovovrhhohoohhoou.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 11. Let u be a(6). Suppose -5*x + 7899996 = -2*i + 4*i, -u*x - 3*i + 7899994 = 0. What is x rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-6) - (125 + -129)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2830*r**5 - 1818*r.\nAnswer: 56600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1544, 3069, 4584, 6083, 7560, 9009, 10424?\n\"Answer: -g**3 + g**2 + 1529*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -643626*q**5 - 113*q**4 + 904230303*q?\nAnswer: -12872520*q**3 - 1356*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 3\/2, 9753548 in increasing order.\nAnswer: -56, 3\/2, 9753548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*f, 20 = 2*f + 4*p - 8*p. Suppose 3*a - f*a + 41 = 0. Let n = a + 94. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-180) - (-1401)\/36. Solve -37*n = -d*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 53, 119, 211, 329, 473, 643?\n\"Answer: 13*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -4.1\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-12 - -17) + (8 + 12 - 27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5628?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 13*d**2 - 5*d - 26. Let k be b(-14). What is the second derivative of 204*y**2 + k - 8080 + 63*y wrt y?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2057) - 1*sqrt(2057)*-1) + -2)*-5.\nAnswer: -110*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1316, -8, -3 in decreasing order.\nAnswer: 4, -2, -3, -8, -1316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -872.\nAnswer: -1395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598948, -598949, -598950, -598951, -598952?\nAnswer: -598953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006453465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u**5 - 2165*u**4 - 62840*u**3 - 239495*u**2 - 271580*u - 53900 = 0.\nAnswer: -55, -49, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/53039, 2, 4\/5 in decreasing order.\nAnswer: 5, 2, 4\/5, 2\/53039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n - 7103 = -296*n + 7560 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*1)\/(81\/18)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52595457.00052 - 52594349. Let i = c + -1110. Let u = i + 2. Round u to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213401\/5180 - 3\/1036. Let p = v - -423\/10. Find the common denominator of -40\/9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100\/126 - (-2)\/(-9). Let m be 2*(-3)\/24 + 0. Let r = 189\/4 - 47. What is the nearest to m in -4\/7, f, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 305*z + 1747 + 419*z - 1747 + (-3 + 1 + 0)*(4*z + z - 4*z).\nAnswer: 722*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 44*x - 2. Suppose -3*s + 3 = -4*c, -3*s - 2*s + 5*c = -5. Is j(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 + 7*q**3\/3 - q**2\/2 - 3*q - 3. Is 21 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*l = -53*l - 867. What is the remainder when l is divided by 66?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -34053, -0.1, 77\/12 in decreasing order.\nAnswer: 77\/12, -0.1, -0.4, -34053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12156 + 12156. Are h and -1\/13200 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 834279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 - 3*d**3 + 8*d - 8*d.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/5 + 1368*j**2\/5 + 18858*j\/5 + 13132 = 0.\nAnswer: -670, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405006.\nAnswer: 2, 257, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387744 is divided by 382699.\nAnswer: 5045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -2. Let s = 2 - -2. What is the remainder when a is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from turltfrtrtft?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**2 - 3*k - 2. Let z(t) = 9*t - 13. Let o(u) = 26*a(u) - 6*z(u). Let g(m) = 6*m. Give o(g(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 7. Let v be n(6). Let p(j) = -v*j - j - 5 - j. Is p(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141820036.\nAnswer: 2, 35455009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6814844+4\nAnswer: -6814840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*x + 4\/5*x**3 - 2\/5*x**5 + 0*x**4 + 0*x**2 + 0 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019833118 to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 j when four letters picked without replacement from {v: 5, t: 5, j: 4}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 - 3 - 3*a - a + 8*a. Let n(o) = -o. Let l(t) = b(t) + 3*n(t). Calculate l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -398471315.7 to the nearest one hundred thousand.\nAnswer: -398500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 4*w - w + w + 0*w - 3*w + (2*w + w - w)*(1 + 5 - 4) + (-2*w - w + w)*(-341 + 588 + 1791 + 957).\nAnswer: -5989*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 1) + (128 - 192 - -3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-3))\/((-7)\/(-141)) and 56\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26758700 rounded to the nearest one hundred thousand?\nAnswer: 26800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) + sqrt(26)\/sqrt(2)) + (-5*sqrt(39)\/sqrt(3))**2)*6 - (2 + sqrt(325))*4*-3.\nAnswer: 120*sqrt(13) + 1974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7230810 - -2?\nAnswer: 7230812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k. Let d(w) = -10*w**2. What is d(v(s))?\nAnswer: -810*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 297, 287, 265, 225, 161, 67, -63, -235?\n\"Answer: -x**3 - 3*x + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/33924 and 113\/26120.\nAnswer: 221523720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09607 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/8 (b) -1 (c) -1\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1573) + 1 + sqrt(1573)) + (sqrt(1573) - (-3 + -1*sqrt(1573))) - -5*-6*(sqrt(1573) + -2))*-5)**2.\nAnswer: -607200*sqrt(13) + 10186225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let i(x) = -x. Suppose -2 = -3*v + 10. Let g(a) = v*i(a) - 5*d(a). Let n(j) = 3*j. Give g(n(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k - 595. Determine c(-41).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 4*j - c + 33, 5*j + 15 = -c. Let h(v) = v**3 + 5*v**2 + 4*v - 1. Calculate the least common multiple of (22\/3)\/(j\/(-3)) and h(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -19, 5, -7, -2, 9 in ascending order.\nAnswer: -19, -7, -5, -2, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2741623 is divided by 290.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*n - 28 = -3*o, -3*o - 2*n = -42. What is the remainder when (123\/9)\/(-1)*-3 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 4. Suppose -4*b - k = -3. Suppose -24 = 4*j, -12*p - 15*j + 222 = -18*j. Sort b, p, 0, 5 in decreasing order.\nAnswer: p, 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 11. Let u be l(8). Suppose 18 = f + 5*p, 6 = f + 2*p + u. Let z(r) = r**3 + 6*r**2 - 7*r + 6. Let s be z(f). Solve -s*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 6*r**2 - r - 3. Let m be s(7). Suppose -3*h - 2*d = -242, -3*h - 2*h - 2*d = -410. Let o = h + m. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h. Let w be d(-1). Suppose 4*r + 10 - 34 = w. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34076.\nAnswer: 2, 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42957*w**2 - 4079*w**2 + 13957*w**2.\nAnswer: -33079*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 13705594.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.907 * -0.08\nAnswer: 0.23256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*h**3 + 3)*((5*h + 4*h - 5*h)*(6 + 0 - 3) - 2*h - 1 + 1) as l + w*h**3 + c*h + o*h**4 + k*h**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2\/113 (b) -3 (c) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -2*n. Sort n, -2\/3, -2\/11 in ascending order.\nAnswer: n, -2\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4 - b**2 + 3*b**3 + 1 + 2 - 4. Let i(y) = -3*y**3 + y**2 - 2. Suppose 2*w + 29 = 5*v, 2*w = 206*v - 209*v + 27. Give w*i(z) + 2*f(z).\nAnswer: -3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(7891\/(-169) - -47) - (0 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253.\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 15*v = -21. Let y be 75\/v + 3\/7. Suppose -30 = 5*k + r + y*r, 0 = 2*k - 2*r - 4. Which is the second smallest value? (a) 0 (b) -3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvvt when four letters picked without replacement from bmmmmqxtmqvtxmbmqvq?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2423 - 1163 + 11*s - 1000.\nAnswer: 11*s + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0*x - 3*x - 2*x - 4. Let s be 3\/7 + (-22)\/((-2618)\/(-289)). Let d(r) = 6 - 1 + 5*r - r + 2*r. Determine s*d(l) - 3*v(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1200) + 1 - sqrt(1200)) + (-3*(0 + sqrt(1200)) + sqrt(1200) - sqrt(1200)) + sqrt(1200) + (-5 + 3*sqrt(1200) - (2 + sqrt(1200) + 1)) + 4)**2.\nAnswer: -120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*y - 1. Let a(o) = 10*o**2 + o - 1. Let r be a(y). Suppose 5*u + 0 = -r. Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - 29. Let b = r + 147. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2265*q + 11449 + 45176 = 0 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 535654 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 84*n**2. Let j(d) = 5*d**2. Let m(o) = -7*o**2. Let v(y) = -6*j(y) - 4*m(y). Determine v(r(t)).\nAnswer: -14112*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 2. Let y(d) = -3*d - 5. Let r = 60 - 65. Let o(g) = r*k(g) + 2*y(g). Let p(w) = 8*w**2 + 5*w**2 - 21*w**2 + 3*w**2. Calculate o(p(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 228214596 to the power of 1\/2, to the nearest integer?\nAnswer: 15107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 - 136*i**3 - 816*i**2 - 1656*i - 972 = 0.\nAnswer: -27, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Let u(s) = -40*s + 45. Let b(y) be the third derivative of y**4\/24 - y**3\/6 - 4*y**2. Let n(q) = 90*b(q) + 2*u(q). Determine n(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79564711 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*j**3 - 541*j**3 - 533*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 2*r**2 - 102*r - 33. Calculate n(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -30. Let i(t) be the first derivative of -t**4\/4 + 4*t**3 + 6*t**2 + 15*t + 195. Let n be i(x). Solve -n*w + 7 - 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4622 + 101769\/22. Let i = 119\/2 + -533\/8. Find the common denominator of w and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from rtzmttzztztrremzz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 99 = 11*b. Suppose 0 = 2*g + 3*n - 13, g + n - b = -g. Let o(d) = 7277*d**2 + 15*d. Let v be o(g). Round v to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ied when three letters picked without replacement from ddnrieeee.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((5 - 6) + -55 - (13 + (-11 - 1))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5743 + 11787 = -35*f + 4749 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d - -1559?\nAnswer: 152c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 45. Let d(z) = 23. Let g(h) = -5*d(h) - 2*m(h). Let k be g(-11). Let p(t) = t - 5. Let s(v) = 2*v - 14. Calculate k*s(l) + 8*p(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**3 + 2*j**2 - j - 1. Let m = 1 + -3. Calculate the remainder when h(m) is divided by 0 + -5*(-8)\/4 - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -290*h**3 + 35*h**2 + 35*h - 35. Let d(v) = 926*v + 1850. Let x be d(-2). Let f(y) = -17*y**3 + 2*y**2 + 2*y - 2. Give x*g(q) + 35*f(q).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1325088\/7? (a) 4 (b) -3\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5729 - 0.1729. Sort 3, -5, -9\/10, m in decreasing order.\nAnswer: 3, m, -9\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 82.58?\nAnswer: 84.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/5)*i)\/i**2*i\/i**0*i\/i**(2\/3) assuming i is positive.\nAnswer: i**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 132 = -i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 2*i - 22, -i = 2*f + 10. Let b(y) = y**3 + 3*y + 2. Let q(v) = v**3 + 2*v + 1. Give f*q(x) + 4*b(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4528, 18570, 41974, 74740?\n\"Answer: 4681*l**2 - l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqqqqqiqi. Give prob of picking 4 q.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -h + 29 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19203 (base 10) to base 8.\nAnswer: 45403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -18\/37, -4, -0.4, -26, 5\/3, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*c - 7*c + 24*c - 91*c**4 + 705 + c wrt c?\nAnswer: -364*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*g - 2*g**3 + 452*g - 1032*g + 287*g.\nAnswer: -2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f**2*q**3 + 3*f**2*q**2*t - 75*f**2*q*t - 73*q**3*t - q**2*t + 21*q**2 wrt q.\nAnswer: -150*f**2 - 438*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, -2\/17, -3, -1456 in decreasing order.\nAnswer: 3\/14, -2\/17, -3, -1456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(6\/28)\/((-1872)\/728)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18539523.6 rounded to the nearest ten thousand?\nAnswer: -18540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2852, -2886, -2942, -3020?\n\"Answer: -11*h**2 - h - 2840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(-3*(-2 + sqrt(475)) + sqrt(475)*-3 + -4)*-3*-1.\nAnswer: -54 + 810*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 626742?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12243649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-95)\/(-57))\/(10\/4). Factor 0 + 2\/3*l**2 + f*l**3 + 0*l.\nAnswer: 2*l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97117.18g to milligrams.\nAnswer: 97117180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19075.40834 + 19073.4. Let r = -2.01 - f. What is r rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 3*u**2 + u**2)*(2*u - 2*u + u) - u**3 + u**3 - 3*u**3 + u**3 + u - u + (u + 2*u - u)*(-u**2 - 1 + 1).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p + 2. Let i be d(-2). Let n be (-30)\/(-7) - (-2)\/(-7). Suppose 4 = g + 2*k, -n*k + 9 = 3*g + k. Sort -0.3, g, i in ascending order.\nAnswer: g, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.097 - 135691170177.\nAnswer: -135691170176.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5*n - 3*n)*(9*n**3 - 7*n**3 + 13*n**3).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-45)\/3564*-18)\/((-10)\/4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-9)\/(-3))*(-3 + -2 - -8). What is the closest to -2 in -5\/4, 1\/9, r?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1870*(-558)\/15345 + (44 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/142 and 1\/7526.\nAnswer: 7526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 6*u**2 + u - 8. Let s be z(6). Let l(a) = -11*a - 10. List the prime factors of l(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2442 and -53\/199960?\nAnswer: 244151160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -0.5, 3\/11, 0.2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38126 is divided by 1900?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 84 + -45 - (28 + 2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 52. Find the first derivative of 123*l**2 - b*l**2 + 8 - 33 wrt l.\nAnswer: 116*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -397\/5. Let l = -983.6 - -985.6. What is the closest to l in 0.1, q, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 15. Let y(n) = -2*n - j - 10 + 15 + 3*n. Suppose 2*m - 6*m = 0. Give y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 195*k**3 - 29*k**2 + 4. Let i(m) = 391*m**3 - 59*m**2 + 7. Let g(c) = -3*i(c) + 5*w(c). Find the third derivative of g(t) wrt t.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + 3 - (-4)\/2. Suppose 3*w - 5*o - 18 = 0, o = -4*w + 5*o + f. Find the third derivative of -i**6 - 2*i**2 - i**w + i**6 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 13. Let o be v(0). Let a = -12 + o. Is (36\/12)\/(a\/2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -16*t**3 - 3*t**2 + t + 3. Let x be c(-2). Calculate the greatest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in 1, 3\/2, -33898?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8129902 - 0.71.\nAnswer: 8129901.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 60 + 4*t - 54 + 33 - 6*t to d + c*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 7*c**2 + 33*c + 13. Let m be (-5 + 0 + -1)\/((-16)\/8). Let a(u) = 2*u**2 - 1 + 0*u**2 - m*u**2 + 0. Let z(g) = 5*a(g) - b(g). Factor z(d).\nAnswer: 3*(d - 6)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 44 + 0*z - 8\/5*z**5 + 0*z**2 + 3\/4*z**4 - 20\/3*z**3. Find the third derivative of m(k) wrt k.\nAnswer: -192*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 - 7*p + 3. Let y(t) = -t**2 + t + 1. Let m(w) = g(w) + 4*y(w). Suppose -7 = 2*q - 49. Calculate the remainder when m(6) is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.455982*3\nAnswer: 4.367946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*a - 1457, -2*s - 1429 = -5*s - 5*a. List the prime factors of s.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 - 247. Let n(h) = -4*h**3 + h**2 + 5*h. Let k(i) be the third derivative of -i**6\/40 + i**4\/6 + 9*i**2. What is q*k(y) + 4*n(y)?\nAnswer: -y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -60*l + 345, 9963*l - 9958*l - 52 = 3*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)*z\/(z*z*z**(-1\/7)\/z))\/(z**(-2\/13)*z*z*z*z**(3\/11)) assuming z is positive.\nAnswer: z**(-12893\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*o + 0 + 1\/4*o**2.\nAnswer: o*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (128\/10 - 12) + (-72)\/100. What is the closest to -0.1 in -1\/10, h, -4, 0.1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 24452*b - 513321. Determine l(21).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(272) - (-4 + (sqrt(153))**2) - (3*(1 + sqrt(17) + 0))**2.\nAnswer: -312 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/18 and 19\/1272.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 + 115584*p**2\/5 + 115583*p\/5.\nAnswer: p*(p + 1)*(p + 115583)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001601 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8210541310 rounded to the nearest 1000000?\nAnswer: -8211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 94. Give i(-13).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 2:49 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/2))**(2\/63)*(h*h**(-1))**(-3\/23))**(-2\/53))**(8\/9) assuming h is positive.\nAnswer: h**(-16\/30051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1104736 and 2045942?\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/(6\/(-12)). Let z be 45*(11 - (w + 1)). Let i = -284 + z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*5*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1156672314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -44*w**3 + 11544*w**2 - 4190*w - 526. Calculate d(262).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5)\/((1108\/11137)\/(-2)). Let j = s + -22\/277. Let y = -3759 - -82727\/22. Calculate the common denominator of j and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 36*v + 5. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 147163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.34.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 4*m - 48, -2*w + 13 = m. Let g be (0 - 1)*m\/(-66). What is the biggest value in 5, g, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3 + (2 + 0 - 1)*(0 + 5 - 4) + 2 - 1 + 0 - 2 - 1 + 2)*(0*y**2 + y**2 + 2*y**2) + (2 - 1 - 2)*(0*y + 0*y - y**2))*(11 - 25 + 11 - 26*y**3).\nAnswer: -260*y**5 - 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -444 - -453. Find the second derivative of 5798 + 10*u + f*u**3 - 5798 + 53*u wrt u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 459, 569, 673, 765, 839?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 33\/8 + 330\/(-2640). Let c(i) be the first derivative of -i**w + 0*i - 19 + 1\/9*i**3. Factor c(g).\nAnswer: g*(g - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let q = 8 - 17. Let o be 4\/3*q\/(-2). Let f be n(o). Solve 3*g + f = -0*g + 5*t, -5*t + 12 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 11*k**2. Let j be a(11). Which is smaller: j or 7\/10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 111182207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 71*z - 3312. What is c(46)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j*j**(-3\/5))*j)**6)**(-1\/24) assuming j is positive.\nAnswer: j**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247779 is divided by 6694.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17205873.\nAnswer: 3, 5735291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 7*g**2 - 10*g - 10. Let i be u(-8). Suppose -f = -22 + i. Let m be f\/56 + (-9)\/7. Is m greater than -1.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = r. Suppose -10 = 3*w + r*w. Let m = w + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250) - sqrt(250)*-1) + sqrt(250))*-1 + (sqrt(250) + 2*sqrt(250))*-5)\/((-2*sqrt(648))\/(2*sqrt(16)\/sqrt(4) - sqrt(4))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341437332.\nAnswer: 2, 3, 37, 769003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:27 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 11:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((17*c - 11*c - 5*c + 25)*(1 - 5 + 2) + 0 + 0 - 2*c)*(-6*c + 2 + 9*c + 16*c) to the form u*c + q + j*c**2 and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 47*o**4\/6 - 11*o**3 + o**2 - 85*o - 18. Let x(g) be the first derivative of f(g). Find the second derivative of x(h) wrt h.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4315 - 4304. Let d(c) = c + 1. Let g be d(4). Solve 4 = 5*z - 2*w - b, 4*w = g*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (75\/10)\/(3\/(-30)). Is 12 a factor of (-4)\/(-30) + (-1790)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, s: 5, r: 7}. What is prob of picking 1 r and 2 h?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:29 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 6630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82066 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726136961?\nAnswer: 11, 66012451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 28. Let v = -19 + w. Let f be ((-14)\/v + 1)\/(3\/(-12)). Solve 4*j + 12 = 4*k, k = -3*j - f*k - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 25*z**4\/4 + 178*z**2. Let c(w) = -w. Calculate v(c(x)).\nAnswer: -150*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 - 548*q**4 + 14000*q**3 - 25552*q**2 - 287424*q + 299520 = 0. Calculate q.\nAnswer: -4, 1, 6, 30, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100) + -2*sqrt(2100)*6 + sqrt(2100) + sqrt(2100))\/(3*-4*sqrt(12)).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 + (-115)\/35. Let i(w) = 48*w**3 - 4. Let h be i(r). What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 440*y**3 + 135*y**2 - 12150*y + 23760.\nAnswer: -5*(y - 88)*(y - 3)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxrv. What is prob of sequence qr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 40 + 53 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i + 31 - 1\/2*i**2. Let k(c) = 5*c. Determine v(k(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 23*f - 3*v = 0, -4*f - 4*v = 0. Solve f = 10*a - 54 + 84 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2*-3 - -6. Suppose -3*h = -h - l*c - 68, 0 = -3*h - c + 113. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (24 - -11) + 20 + -4.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.882 or 0.14008?\nAnswer: 0.14008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Suppose 3*b = 4*b + 3*f + 17, -h*b + 5*f + 17 = 0. Find the common denominator of 49\/b + 6\/8 and -59\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkgggkgg. Give prob of sequence vgkk.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 105096.3*-0.2\nAnswer: -21019.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x - 13. Let b(q) = 6 + 8 - 2*q - 18. Let k be b(1). Let r(v) = 4*v - 7. Calculate k*u(h) + 11*r(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 - 175*a**4 - 845*a**3 + 2335*a**2 + 8040*a - 9360 = 0.\nAnswer: -4, 1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 8. Let b be 6\/u*62\/1. Are b and 32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2588, -5589, -8884, -12479, -16380, -20593?\nAnswer: -25124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+0.09062535748\nAnswer: -4.90937464252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/(-26)*(2 - (-129336)\/18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = l - 759, 5*j = -104*l + 105*l + 1257. Calculate the greatest common divisor of j and 1890.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -34, -56, -80, -106?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -885.7 - -880.7. Which is the closest to -2\/9? (a) p (b) -4 (c) 26 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*a + 32 = 0, -4*x + 7*a = 2*a - 25. Solve -x*w = -20 - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let h(x) be the first derivative of -1\/2*x**2 - 26 + 0*x. Determine l(h(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 24\/((-8784)\/(-3306))\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -15*l - 756. Let v = l - -352. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (8 - (2 + 4)) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u - 12. Suppose 3*o = u*o - 9. Suppose 2*s - o*s + 5 = 2*x, s - 5*x + 16 = 0. Are 1\/27 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 u when three letters picked without replacement from {k: 3, u: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 + v - 1. Suppose -1 = -2*z - 1. Suppose z*t - 18 = -9*t. Let d be 5\/t*((-116)\/(-20) - 5). Calculate c(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - n - 41 = -2*k, -27 = -4*k - 5*n. What is the common denominator of (-2)\/k + (-257)\/(-12) and 3*(-9)\/(-54)*-17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984656.9 millilitres to litres.\nAnswer: 984.6569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254, 2010, 6784, 16088, 31434, 54334?\n\"Answer: 252*k**3 - 3*k**2 + k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3\/4, 1, -15.578?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 43*k - 321*k - 10*k.\nAnswer: -288*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23762 divided by -730.\nAnswer: -11881\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 7*a - 2. Let m be k(6). Let o be m\/(-10) + (-6)\/(-15). Suppose -b + 1 + 2 = o. Solve 5*p + 25 = -5*s, -b*s - 6 = -2*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/(-4))\/(2292\/(-288) - -8). Let v = w - 445. Solve 2*y - 20 = 5*i, -7 = 3*i + 4*y + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 18*c**2 - 16*c + 16. Let h be i(-17). Let j be ((-6)\/h)\/(1 - -1). Let b(r) = -r**2 + 3*r + 4. Let q be b(4). Solve q = 5*y - j*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c - 7. What is the remainder when v(5) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993914?\nAnswer: 2, 59, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1510238990 by -8163454.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.076 + 0.394. Let v = 0.23 + -0.16. Let h = n - v. Which is the smallest value? (a) -1 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-8))\/(i*i\/i**(-1\/7)*i)*i\/(i\/(i\/(i*i**(-2\/11))))*i**(-4))\/((i\/i**(2\/21))\/(i*i\/(i\/(i**8*i))*i))**44 assuming i is positive.\nAnswer: i**(103079\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1369, 1366, 1363, 1360?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 13. Let c be n(9). Let s = c - 4. Suppose 5*u - 50 = -s*u. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735 + -836. Let y = -100 - p. Let v(i) = 2*i - 9. Let s be v(6). Which is the closest to y? (a) 3\/7 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {a: 3, p: 3, u: 3, j: 1, n: 2, k: 2}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 (base 16) in base 7?\nAnswer: -1364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -217b + -3847?\nAnswer: -59c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.6 + -18.3. What is the second biggest value in 6, c, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let j = 76 + -71. Suppose -17 + j = -6*z. Let h(w) = -9*w**z - 10*w**2 - 9*w**2. What is b(h(u))?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*g + 2, -4*r + 31 = -5*g. Solve 1 = -3*b + 2*o, -r*b + 6*o + 2 = 5*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*l + 7*l. Suppose 5*u - 4 - 2 = 3*y, -5*y = -l. Suppose j = -u*j. Are j and -3\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2750?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(7) + 0)*-4 + sqrt(7)*1*5)*-2.\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788227291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641469 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v - 22. Suppose 7*g + 8 = 5*g. Let x be a(g). Factor -5*k**x - 22*k**2 - 4 - 36*k - 5*k**2.\nAnswer: -4*(k + 1)*(8*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-9)*8526\/3248.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20577887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3296 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*w - 33298, r - 33293 = 15*w - 20*w. Round r to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 1, n: 1, k: 1, y: 8}. What is prob of sequence okk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 53 = -51. Solve -2*a + a = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -87209561.70196?\nAnswer: 87209562.70196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, d: 3, s: 3, w: 7}. Give prob of picking 2 d and 1 w.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2 - 3) + 6 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6424 divided by -1.\nAnswer: -6424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1299106 and 374.\nAnswer: 14290166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*r**4 + 53*r**4 + 501*r**4)*(-2*r + 2*r - 2*r).\nAnswer: -962*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307959531.\nAnswer: 3, 11, 9332107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*u + 32, 3*u + 0*f = -2*f + 16. Suppose u*d - 3 = -19. Put d, -10, -1 in ascending order.\nAnswer: -10, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4581063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2 (c) 3 (d) -48 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/sqrt(5) - sqrt(6) - ((sqrt(6) - sqrt(162)\/sqrt(3)) + sqrt(6)))\/(sqrt(14)\/(sqrt(112) - sqrt(7)) - 5*sqrt(8)).\nAnswer: -12*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1.3532078 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 6*m - 3*m)*(-3*m + 0*m + 2*m) + (2*m**2 + m**2 - 2*m**2)*(-4 + 1 + 6) + 3*m**2 + m**2 - 5*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 2)\/15*-15. Which is the second smallest value? (a) l (b) -0.4 (c) 2\/75 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -0.34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-720)\/(-117) - 4\/26. Find the third derivative of -4*n**2 + 0*n**2 - n**6 - 3*n**r wrt n.\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 + -11962.\nAnswer: -11963.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/11 + 227\/33. Let j = -7 + h. Let m = -12778 + 12780. Which is the nearest to m? (a) -4 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21) + 37\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -7*f - 3*z, -3*f - 20 = -2*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 2786*j - 36 - 2971*j.\nAnswer: -185*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**7\/140 + d**6\/80 + 15*d**2 + 5*d. Let p(f) be the first derivative of y(f). Factor p(l).\nAnswer: -3*l**3*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 67 + ((-4)\/26 - (-2)\/13). Suppose d = -2*y + 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:37 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4379, 4381, 4383, 4385?\nAnswer: 4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-18))\/(2\/20). Let g(q) = q**3 - 4*q**2 - 5*q + 5. Let l be g(v). Suppose l*o + 36155 = 6155. What is o rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/6 - 26*a\/3 - 17\/2 = 0.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22584199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d - 594 = -2*d. Let r = 299\/9 + d. Put 0.05, r, -0.08 in increasing order.\nAnswer: -0.08, 0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x + 38 = 47*x + 5*v, 0*x + v = -5*x - 9*v + 50 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 163 - 20. Suppose 0 = 3*x - 2*q - f, 3*x - 3*q = -2*q + 139. Suppose 5 - x = -2*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 7. Let t be o(-7). What is r in -t*r + 359*r**2 - 355*r**2 + 19*r = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -65. Let a(l) = -l**3 + 6*l**2 + 17*l - 1. Let n be a(x). Put 2, n, 1, -3 in decreasing order.\nAnswer: n, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 18*o + 6*o + 7*o - 213.\nAnswer: 8*o - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -16*a**2 + 33*a - 31. Let y(j) = 5*j**2 - 11*j + 10. Determine 2*h(q) + 7*y(q).\nAnswer: 3*q**2 - 11*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/8 + 4347*o**3\/4 + 2424809*o**2 + 4867815909*o\/4 + 9716242041\/8 = 0.\nAnswer: -957, -1, 10609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - -2235.5?\nAnswer: 2260.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (109 - 20 - 28)) + 26?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111164641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let x be n*(-3)\/(-18)*3. Let m = 1.817 + 19.183. Put m, x, -5 in decreasing order.\nAnswer: m, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315439*d**4 + 28194*d + 14 wrt d.\nAnswer: 3785268*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059162 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let h = -424 + 426. Suppose h*i + u*k - 80 = -2*k, 3*i = 2*k + 128. What is i rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1912\/297 - 70\/11. Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62423 is divided by 306?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(176))*-6)**2 + (sqrt(176) + (sqrt(176) - -5*(sqrt(176) + 1*sqrt(176) + sqrt(176) + sqrt(176) - sqrt(176))) + sqrt(176))**2.\nAnswer: 288*sqrt(11) + 63396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -880*-1.4.\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Suppose -3 = m + s*a, -5*a - 6 = -1. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(0 - 1) + 0. Let l be 1 + h\/1 + 1. Let j = 12 - 206\/17. What is the nearest to l in 0, j, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24065.41629908 + -24119.4163. Let c = 54 + w. Round c to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821 = r + 812 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2335384 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p - 2*q = -37, 2*p = -5*q + 76. Let u = 29 - p. Put 0.1, u, -4\/5 in ascending order.\nAnswer: u, -4\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.166 - -0.566. Let h = 161 + -163. Which is the nearest to -0.1? (a) o (b) -4.9 (c) -0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5963 (b) 12 (c) 5 (d) 1 (e) -1\/6 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224200 (base 7) to base 5.\nAnswer: -2234021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 2385098 + 417473 + 1481414 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 0.08 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 68. Let x be s + ((-1)\/1 - -4). Solve -9 = -x*i + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211110010 + 112?\nAnswer: -211102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-4)*s*(s*s\/s**6*s*s*s)\/s*s**(-2)*s**(2\/13)*((s**(-2\/7))**3)**(23\/5) assuming s is positive.\nAnswer: s**(-4454\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13582, -27159, -40736, -54313?\nAnswer: -67890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 86*q**2 - 110*q**2 - 2*q**4 + 48*q**2 + (-2 + 0 + 4)*(q**3 - q**4 - q**3).\nAnswer: -4*q**4 + 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -35*q**3\/6 - 7*q**2\/2 - 2*q. Let b be k(-4). Suppose -s - 5*h - 119 = -5*s, 3*s = -5*h + b. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.1574077 months?\nAnswer: 0.000179783975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -539?\nAnswer: 53d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04529 and 6?\nAnswer: -0.27174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6267 - 8*i**3 + 8*i**3 - 49*i**2 + 6269 + 9*i - 3*i**4 in the form o + f*i**4 + c*i**2 + t*i**3 + p*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**4 - 2*f**3 - 5*f + 2. Let r(u) = -7*u**4 - 3*u**3 - 4*u + 3. Let c(m) = -2*r(m) + 3*t(m). Find the second derivative of c(y) wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194251 is divided by 573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 147466*v - 188946 wrt v.\nAnswer: 147466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -91.67. Let m = q + 1.2. Let p = 0.1408 + m. Round p to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let o(n) = 2*n - 4. Let p be o(3). Let y be 3\/p - (-99)\/22. Let k be (-17)\/4 - y\/8. Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = -4*g + 134, 2*g - 52 = -5*w. Let v = -22 + g. What is the third derivative of -255*z**2 - 3*z**5 + 3*z**5 + 256*z**2 - v*z**6 wrt z?\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 41*u + 42.\nAnswer: -(u - 42)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = 34*m + 5*u + 7, 4*m - 3*u - 17 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (5 + (3 + (sqrt(1377) - (sqrt(1377) + sqrt(1377)*-3)) - (-2*sqrt(1377) + 3)))**2).\nAnswer: 1350*sqrt(17) + 103344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -60 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1710*k**2 - 457*k**2 - 2444*k - 1252*k**2 - 1399*k + 933*k**2 wrt k.\nAnswer: -4972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335254*b**3*k + 8*b**2*k + 2*b**2 - 97*b*k + 3*b + 6*k wrt b.\nAnswer: 2011524*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158645 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkwzkkggkessggke. Give prob of sequence sk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2053\/3, 2029, 1, 3 in decreasing order.\nAnswer: 2029, 2053\/3, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266858 + 800576 + 119*b**3 - 266858 - 266860.\nAnswer: 119*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 143700, 287402, 431104, 574806?\n\"Answer: 143702*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*u**3 - 112*u**3 - 111*u**3 - 2*u**2 + 2*u**2.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15 - a**3 - 12*a**2 - 6*a + 0*a**3 - 10*a. Let j be l(-11). Suppose 14 = 2*n + 4*i - j, -3*n = -3*i - 36. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 - 7*o + 13. Let q(d) = 5*d**2 + 1. Let p be q(1). Let r = p - 2. Let s(l) = -1 + r*l - 3 + 4*l**2 - 3. Give -6*k(w) - 11*s(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -488 from -16046955734.\nAnswer: -16046955246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80166763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + a = 2*i - 17, 0 = -2*i - 4*a - 26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2. Let h(l) = -4*l**2 + 2*l. Give t(h(s)).\nAnswer: 112*s**4 - 112*s**3 + 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124 + -1?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*k = -3, -22992*w + 22997*w - 15 = -k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -480.7 + 481. Which is the third smallest value? (a) 5 (b) -5 (c) -37 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s + 9. Let p be r(5). Suppose 0 = -0*j + 5*j + 2*h - p, -j + 2*h = -26. What is the remainder when 56 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -3221214?\nAnswer: -3221223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c. Let t(b) = -b**2 + 3*b + 14. Let r be t(5). Let o(x) be the third derivative of 0*x + 1\/12*x**r - 14*x**2 + 0 + 0*x**3. Calculate i(o(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 8*c + c + 4*c - 56 + 0*c.\nAnswer: -3*c - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*v**4 + 9408*v**2 - 9745*v**2 + 53*v**4 wrt v.\nAnswer: -7104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 15. Suppose -4*v + s = v. What is the third derivative of -l**4 + 3*l**4 - l**3 + l**3 + 2*l**v wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 5*u - u)*(-2 + 0*u + 3 - u).\nAnswer: -4*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((0 - (4 + 2)) + 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbssbbbb. What is prob of picking 4 b?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i**2 - 22*i**2 - 29*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 - 16 - -7 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -414\/7 - 416\/7*p - 2\/7*p**2.\nAnswer: -2*(p + 1)*(p + 207)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 708\/5*p**4 + 9\/5*p**5 + 0*p - 64*p**2 - 956\/5*p**3 = 0. Calculate p.\nAnswer: -2\/3, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4677?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 - 10*a - 11. Let u be t(-8). Let m = u + 87. What is the highest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 0.2, 5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*c - c - 5 = 0, 35 = 3*v - 4*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/5) - -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 6. Let g be c(-7). Suppose -83*f - 330 = -98*f. Find the third derivative of -g*b**2 - 20*b**5 - 31*b**5 + 10*b**5 + f*b**2 wrt b.\nAnswer: -2460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) - (-26)\/(-3) - 20125\/(-2185). Suppose -z - 26\/19*a - 22\/19*a**2 = 0. Calculate a.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 8. Let l be t(12). Suppose 7 = -4*h - a + 23, l = -4*h + 4*a. Let u = 2 + h. Solve -2*d - 3 = -u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 24*r**2 - 113*r - 333. What is u(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 944 - 944.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0998 - 9.3898. Let j = -4.29 - b. What is the closest to 1 in -5, j, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-6))\/(1\/(-6)). Suppose -z + 146 = 4*z + 3*b, 5*b = -3*z + 94. Let v = w + z. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = -2. Let t be ((-132)\/110)\/(u\/10). Put 5, t, 2, 3 in increasing order.\nAnswer: t, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1.3778?\nAnswer: -4.1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 1, z: 3, p: 3, u: 2, b: 1}. What is prob of picking 1 z and 1 p?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1941435 and -5.\nAnswer: 9707175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2016703 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) -116 (c) 2 (d) -1 (e) -0.5 (f) 801\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -16*m - 44 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.8 - -19. Let d(j) = j**3 - 14*j**2 + 4*j - 5. Let g be d(8). Let k = -5357\/15 - g. What is the third smallest value in k, m, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 11 = o, 4*q - 23*o + 18*o = -33 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11690 + 11692. Put 1, n, -165, 4\/9 in decreasing order.\nAnswer: n, 1, 4\/9, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 - -203. What is the remainder when n is divided by 2\/(-5) + (-114)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*g**6 - g**4*k + 2*g**2*k + 6*g**2 - 24*k wrt g?\nAnswer: -8640*g**3 - 24*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1488 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n - 7. Let z(l) = 3*l + 2. Let s(b) = -2*q(b) - 7*z(b). Let r(j) be the third derivative of -1\/4*j**4 + 0 + 0*j + 0*j**3 - 19*j**2. Give s(r(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/18 + (-13)\/(-6). What is the closest to -1 in -2, 0.3, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-3)\/(-4))\/((-21)\/(-14)). What is the third smallest value in -2\/23, j, -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-16)*o)*o**(-3)*o*o\/o**(-7)*o*o**14*o assuming o is positive.\nAnswer: o**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -10, -1, 4\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21236 - -4?\nAnswer: -21232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 8. Let y be a(6). Let r(w) = -1 - y*w - 9*w + 27*w. Let c be (-3 + (-8)\/(-4) + 0)*1. Determine r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43780 + -28709. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 311748?\nAnswer: 2493984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-448 - -442) + 0 + -3 + 32\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 8*h + 12. Let u be j(7). Determine z, given that -2*z - 8*z**4 + z**3 - 4*z**2 + z**2 + 11*z**4 + z**u = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -696410324*z**2 - 2*z - 177040841 wrt z?\nAnswer: -1392820648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-28) + 1\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 2*q - 22. Let z(l) = 7*l**2 + 2*l - 1. What is the remainder when c(5) is divided by z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20779 + 40255. List the prime factors of h.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*c = 0, -4*v - 42*c = -40*c + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/9)*s**(-5)\/s*s*s)**17 assuming s is positive.\nAnswer: s**(-629\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 4. Suppose -5*q + 2*r - 18 = -r, r + 28 = -4*q. Let i = -9 + q. Let k be (-1 + 0)\/(3\/i). What is h(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from ewwwwjawwawwj?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((0 - -3) + -5 + (17 - 6) + -40)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 7. List the prime factors of 5\/(-25) - (-191)\/x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82077 litres in millilitres?\nAnswer: 820.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 613 (base 7) to base 5\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a27 (base 12) to base 11.\nAnswer: -15759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755 minus 63.35?\nAnswer: 2691.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11958, -11965, -11982, -12015, -12070?\nAnswer: -12153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:19 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 82 + 18 = 0. Suppose t = w + 4*w. Suppose 83 = w*v - 32. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34670 is divided by 680.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 3. Let a be f(4). Suppose 0 = -0*t - a*t + 2*c + 71, -5*t + 4*c + 67 = 0. Calculate the remainder when t is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721533 is divided by 312?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12457.35 and 141810.4.\nAnswer: 129353.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -11. Let b = u + 14. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000306479356 to 7 dps.\nAnswer: -0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2236)\/(-36) + 2\/6 - 284\/639. Solve c*l = -42*l - 936 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 + 2*j**3 - 3*j**2\/2 - 7*j + 3. What are the prime factors of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 21*v**2 - 23*v + 16. Give r(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let z = q - -0.4. Suppose -2*y + 17 = -5*v, -2*y = -2*v - 2 - 6. Sort 1\/2, y, z.\nAnswer: z, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 19101*z - 424. Let v be j(24). Round v to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23079346.\nAnswer: 2, 113, 102121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -41. Let f be (-10)\/((-2)\/(-2 - u)). Suppose 24 = d + d - 4*s, -d + f*s + 24 = 0. Solve -2*l - 26 = -0*l + d*y, -y - 2 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312048 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2. Let f(b) = -329*b. Give f(z(h)).\nAnswer: 658*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 11. What is k(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3313 and -0.2.\nAnswer: 3312.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k**3 - 2*k**3 - 8*k)*(0 + 1 - 2).\nAnswer: k**3 + 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q)**(-13) assuming q is positive.\nAnswer: q**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(72)\/sqrt(4))\/((sqrt(45)\/sqrt(5) - sqrt(9) - sqrt(9))*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*f - 2, -334*y - 12 = -328*y - 3*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**7\/420 + h**4\/6 - 3*h. Let x(q) be the third derivative of i(q). Calculate the remainder when x(-1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*z = 185, 4*p - 4*z + 2*z = 674. Suppose 10*m - 7*m - 30 = 0. What is the least common multiple of p and m?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15*d*d**(2\/13)*d*(d**6*d)\/(d*d**6*d) assuming d is positive.\nAnswer: d**(210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4918540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:56 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -664960 rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.1 - 37. Let g = n - 4.1. Let y = 10\/9 + -107\/72. Which is the second biggest value? (a) 0.2 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 3*j**2 - 3*j**2 + 14*j**3 + 2*j**2.\nAnswer: 14*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12901020.68 rounded to the nearest ten thousand?\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -174992 and -0.1444.\nAnswer: 25268.8448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, v: 1, b: 3, u: 5, k: 3, x: 4}. Give prob of picking 1 b, 1 m, and 1 v.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15 - (-4752)\/308)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/8 - 54606699*q + 1987927717117734.\nAnswer: 3*(q - 72808932)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002290794 to seven dps.\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 98 = 3*i - i, 4*i = -4*t + 188. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6187995 by -99.\nAnswer: -62505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/9*(-300)\/(-250)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 + -90. Let t = g + -44. What is t rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1061 - -40315\/38. Let f(l) = -l**3 - 4*l**2 - 4*l - 2. Let x be f(-3). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**3 + 26*z**2 + 12*z - 291. What is the tens digit of j(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 955810 - 17645208414\/18461. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55443670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a - 1. Let b(p) = 2*p**2 - 2*p - 5. Let k be b(3). Let y(v) = -v**3 + 6*v**2 + 7*v - 1. Let r be y(k). Let z be i(r). Solve o - 4*o = -z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*x - 42224 = 0, 777*y = 778*y - 3*x - 21100. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 994881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = -126*p - 1699 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5437*m + 854 + 91575 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111001001010010 (base 2) in base 15?\nAnswer: 3c33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*t**3 - 257*t**2 - 138*t**3 - 14*t**6 + 250*t**2 - 97*t - 43*t wrt t?\nAnswer: -1680*t**3 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + u + 3 - 1 = 0, 0 = -3*g + 2*u + 9. Let o = 0.027 - 5.027. Which is the biggest value? (a) g (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-9)\/(-90) + 7 + -3 and (-5)\/12*(-68)\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 382344\/36 - 6\/9. Let p = n + 4849. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c + 4*c + 15*c - 38*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*x = 30*x - 537 + 158 - 1349 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 169 - 341 = 0. Let a = c + 516. Solve a = 5*j - 11*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 + 16*k - 12. Let h(b) = 2*b**3 - 11*b**2 - 31*b + 24. Let o(v) = 5*f(v) + 2*h(v). Is o(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 3*w - 41*w to the form u*w + s and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + -0.3. Let t = -3 - g. Let j = 0.8 + t. Which is the nearest to j? (a) 2\/5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02267 rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-828)\/621)\/(1*(-4)\/48).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-13)\/4*2)\/25 and -187\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -71*u**2 + 9*u - 1. Let k be m(5). Is (-5 - -3)\/(2\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.098 + -2.\nAnswer: -1.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -11. Let u = q - -10. Suppose -c + 47 = 2*c - s, -u*c - 3*s = -41. What is the remainder when 26 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10139, 10135, 10131, 10127, 10123, 10119?\nAnswer: 10115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p + 0*p)*(2*p - 1 + 1) - 858 + 858 - 461*p**2 + 4*p**2 - p - 2*p**2 - p**2.\nAnswer: -456*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -51.9. Which is the second biggest value? (a) l (b) -3 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqfshvzffz. Give prob of picking 1 h, 2 v, and 1 s.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*g - 2*g. Let p be (10 - g)\/((-2)\/(-3)). Let y = -2 + 5. Solve y = -p*l + 6*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748221355?\nAnswer: 5, 7, 103, 207551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-96)\/(-194)) - 4. Is g >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4420*u - 4*p = 4424*u - 16, 0 = -2*u + 3*p + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f - 3. Let k(y) = -4*y**2. What is q(k(j))?\nAnswer: 104*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 16*s + 19. Determine j(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/2*d**5 + 3\/2*d**2 + 1\/2*d**3 - d - 3\/2*d**4 = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3304\/(-2596))\/(2\/(-44)) and (69\/21 - -1)*14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/21)\/(2\/4))\/(((-246)\/(-792))\/(-41))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -981*((-50)\/15 + 3). Let b = -323 + g. Solve t + 0 - 4 = -b*q, q = -3*t + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 958785 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -2\/3*x**3 + x + 1\/30*x**6 + 0*x**4 + 0*x**2 + 0*x**5 + 0. Find the second derivative of q(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/2)\/k))**(3\/13)*(k*k\/(k**(-3\/4)\/k))**15 assuming k is positive.\nAnswer: k**(2955\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 219\/(-73) - ((-87)\/45 + -1)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473499.\nAnswer: 41, 83, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))\/h*h**(-29\/2)*h assuming h is positive.\nAnswer: h**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23120313 (base 4) to base 10.\nAnswer: 46647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365180 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1912075017 to the nearest integer?\nAnswer: 43727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 + -5.08. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -y - 2*y, 10 = 5*b - 5*y. Suppose 5*v + 26 = 3*c + 3*v, 5*c + b*v = 54. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -603950 and 18.\nAnswer: -10871100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + 8 + -5 + 35966\/7. Calculate the highest common factor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**2 + 12440 - 12440.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 3, 12, -0.33, -10?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.8 - 48. Let f(g) = -g**3 - 15*g**2 + g + 12. Let p be f(-15). Let u be (5\/10)\/(p\/(-2)). Which is the smallest value? (a) k (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084371468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/2 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 2:49 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12751 + -12824. Sort -2, 4, a.\nAnswer: a, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 + 391 = -2*u, -2*n = u - 46979. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/((-4340)\/105))\/(3\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5951, -11878, -17795, -23696, -29575, -35426, -41243, -47020?\nAnswer: -52751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000995267 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*p = -26, 2*m + 0*m = 5*p - 17. What is the first derivative of -26*k - m + 26*k - 3*k**3 wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-3846\nAnswer: -1153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - y - 13 = 4*q, -2*q - 2*y + 14 = 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: Calculate -2052*-8.\nAnswer: 16416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57667 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 3*b**2 + 2*b + 3 - 3.\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 4*k. Let z = 74 - 44. Suppose k*r = -10 + z. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49198, -98387, -147568, -196741?\n\"Answer: 4*k**2 - 49201*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -503 (c) 147 (d) 5 (e) 3.1 (f) -0.3 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2360 + 2154 - h**3 + h**2 + 2*h - h**3 - 4799 - 2*h**4 to d*h**3 + m*h**4 + r*h**2 + q + g*h and give q.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 2, j: 2, o: 3, p: 1, u: 10}. What is prob of picking 1 z, 1 u, and 1 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(28)\/sqrt(4)) - sqrt(6)\/(sqrt(9)\/sqrt(3) + sqrt(3) + sqrt(3)))**2*-2.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785 = -o + 3*d, 4*d - 10 = 2*d. Suppose 5278 + o = 6*z. List the prime factors of z.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/1)*690\/(-276).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 974855 divided by 8477.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 - 93*c**4 - 81*c**3 + 218*c**2 - 48*c = 0. Calculate c.\nAnswer: -2, 0, 1\/4, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 910901837 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -2*v. Let y(r) = -4 - 17*r + 4 + 18*r. Let p(k) = -8*k. Let q(f) = v*p(f) + 18*y(f). Let u(s) = -4*s. Calculate u(q(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -1137 - 1013. Suppose z = 3*z - n. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 + 2*h - 2*h)*(-5 + 1 + 3) - 10*h + 10*h + 2*h**3 + (-3*h + 4*h + h)*(2*h - 2*h + h**2) as q*h**2 + o*h + w + d*h**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -3, 24\/5, 1, 5.104?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6256 and 28?\nAnswer: 43792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*d + 511*d - 78 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16435 (base 7) in base 2?\nAnswer: 1001001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -s - 3*o - 132, 3*o = 5*s + 640. Let k = 61 + s. Let u be (-6)\/5*k\/42. Solve 14 = -4*p - u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6, 2.\nAnswer: -6, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -9*z + 384. Suppose -21*w = -w - z. Let x(t) = -t**2 + 2*t - 3. Determine x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3666, -4174, -5000, -6126, -7534, -9206, -11124?\n\"Answer: 3*z**3 - 177*z**2 + 2*z - 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - c + c + 2*c**3 + 0*c**3 - c**3 + (-1 - 2 + 4)*(0*c**3 + c**3 - 2*c**3) + 3*c**3 - 2*c**3 - 3*c**3 - 27*c**3 - 102 + 102.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 13*v**2 - 8*v - 10. Let y be n(-5). Let g = -12 - y. Solve -3*x = -3*d + 2*x + 37, 2*d - g = 5*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exx when three letters picked without replacement from bezzeeeexeeeeeexexe.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 17.8. Let y = u - 16.3. Let q = -4.6 + 0.6. Put q, -3, y in decreasing order.\nAnswer: y, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.465 + 23.465. Which is the nearest to -0.1? (a) v (b) 2\/9 (c) 0.06 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 177*w = -172*w - 15, -4*w + 4 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6 - 10) + 2*(2 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 8\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977 divided by -2066.\nAnswer: -977\/2066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b + 5. Let g(j) be the second derivative of -7*j**3\/6 - 2*j**2 + j + 4507. What is -6*g(v) - 5*y(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 247520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -572747 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14086800 (base 9) to base 2\nAnswer: 11010100100101111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.05, 0.9, 2.\nAnswer: -3\/8, -0.05, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (7 - -1 - (230 - 177))) + -8\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c + 4. Is 13 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*l + 15 = -5, 2*l = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(200) - (sqrt(48)\/sqrt(6))\/sqrt(4).\nAnswer: -61*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from attv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*p + 20 = -518*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**3 - 205*r**2 + 5*r + 217. Let q(k) = 7*k**3 + 203*k**2 - 7*k - 219. Let u(l) = -3*q(l) - 4*s(l). Solve u(w) = 0 for w.\nAnswer: -1, 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -19*q + 4, -22500 = -4*t + 2*q. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34200 and 798?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2845565, 5691131, 8536697, 11382263, 14227829?\nAnswer: 17073395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2844 and 921996?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:26 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-3)*16*1\/3. Suppose -3*j = -6*j + 3*y + 12, v = -j - 4*y. Solve -2*t + 6*t = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -234876, -469750, -704624, -939498, -1174372, -1409246?\n\"Answer: -234874*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/24 + 7\/4. Find the common denominator of x and 93\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f. Let x(h) = -119*h**2 - 4 + 7 + 38*h**2 - 3. Determine m(x(b)).\nAnswer: 567*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = z, 5*z - 3*t = -3 + 18. Solve z = 3*d + 2*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + x**2 - 2*x + 4. Let j be s(0). Let w(k) be the third derivative of -2*k**2 + 1\/100*k**5 + 0 + 0*k + 0*k**j - 1\/10*k**3. Factor w(t).\nAnswer: 3*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 65?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50674465?\nAnswer: 5, 10134893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4aac3b + -7?\nAnswer: 4aac34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:38 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2518265387 to the power of 1\/3, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(1\/3)\/g)\/g))**(4\/35) assuming g is positive.\nAnswer: g**(32\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**2 - 16*d + 2. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19352 or -19349?\nAnswer: -19349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -110.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -8 - (-3 + (-2 - 6 - (-28 - -29))).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)*y)\/y**(-1\/6))\/(y*y*y**(-1\/4))**(-1) assuming y is positive.\nAnswer: y**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -119*u - 575. Let f be b(-8). Is 375 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/30 - 4*d**2. Let s(m) = 2*m**2. Calculate s(h(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321577?\nAnswer: 321577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.1? (a) -0.07 (b) -182 (c) 7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9146*h**3 + 3*h + 4556*h**3 + 4530*h**3 - 3*h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -39. Let t(j) be the third derivative of j**6\/120 + 7*j**5\/60 - 3*j**4\/8 - 5*j**3\/6 - 10*j**2. Determine t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440641.\nAnswer: 440641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 524693, 1049409, 1574125?\n\"Answer: 524716*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1000 - -999.828. What is k rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51079775 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/12)\/((-3)\/(-12)). Let w = v + 2. Which is bigger: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -1.6, -0.4, -2\/9, -27?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6801 + -0.5.\nAnswer: -6801.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -509*u**5 - 215*u**2 wrt u?\nAnswer: -30540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11203 - -3221?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, x: 3, r: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*r + 948*r - 2908*r = -930*r - 5451 for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 17. Calculate the lowest common multiple of u\/(-2) + 18\/4 and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 8, b: 3}. What is prob of picking 1 y and 3 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:55 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**5 + 188*v**4 + 2300*v**3 + 2116*v**2 = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*s - 28 = -2*n, 0 = 3*n + 3*s - 66. Suppose n*w = -w + 532. What is the greatest common factor of 308 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g**3 + 157*g**3 - 66*g**3.\nAnswer: 112*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40262*j**6 + 356*j**4*l + 14719296*j**2*l + 10*l wrt j.\nAnswer: 4831440*j**3 + 8544*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4006200 divided by 333850\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182277.4l to millilitres.\nAnswer: 182277400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/6 + 8\/3. Let w be ((-4)\/(-110))\/(3\/(-63)). Let p = -4\/11 - w. Is i at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a - a. Let f(q) = q - 1. Let j be f(a). What is the derivative of 4*t**4 - 5*t**4 + 3 + j*t**4 - 2*t**4 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31309 + -31307. Let n(z) = -22*z + 32. Calculate n(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 2, 1, 31 in increasing order.\nAnswer: -46, 1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0093 - 0.008662. What is n rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -46*p - 8*p. Put -1, p, 4 in increasing order.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1.8, 8, 9\/4, -5 in increasing order.\nAnswer: -5, -0.06, 1.8, 9\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 39*n - 599. Determine x(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/12 - -29*(-340)\/986?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -8*l**3\/3 - 12*l. Calculate s(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -23*b + 2. Give o(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81982 - 32841813.\nAnswer: -32759831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*t - 13. Let u be ((-2)\/(-4))\/(1\/t). Let a = -3 - u. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*y + 15*y + 32*y - 42*y + 56*y.\nAnswer: 200*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*q - 698693 + 675029 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 6\/35?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*u = 897*u - 47862 - 51158 - 3929 for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4529135 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 30 = -35*g + 40*g, -g + 5*q + 6 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h + h)*(5 - 3 - 4) + (3*h - 4*h - h)*(-10 - 2 - 6) as f + m*h and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbnbnbbbbbb. What is prob of sequence nnbb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -5*y**7\/21 + 3*y**6\/4 - 4*y**5\/5 + y**4\/3 - 7*y**2. Factor k(u).\nAnswer: -2*u*(u - 1)*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p. Let a be -1 - (-1 - -1)\/(-2). Is p greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**2*u))\/(u**(2\/7)*u*u) assuming u is positive.\nAnswer: u**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 8*w.\nAnswer: 2*w*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -16, -6*w + 4*j + 14 = -w. Let u = w - 7. Is -5\/4 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -29*t - 241. What is o(-6)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 13*j - 9. Let k be w(8). Let a be 150\/20*(-2)\/k. Let q = a + -749\/220. What is the common denominator of 87\/26 and q?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 8*w - 1 - 16 + 3*w. Let q(s) = -2*s + 4. What is 2*c(l) + 9*q(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 287561?\nAnswer: -287542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, d: 7, o: 6}. Give prob of picking 1 d, 2 n, and 1 o.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -208105729632?\nAnswer: 208105729631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 32 = -6*i. Let d be 1 + i\/6 - -1. Put -2\/9, -1, d in decreasing order.\nAnswer: d, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/8*(-24 + 107). Which is the closest to -2\/13? (a) m (b) 3 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15316?\nAnswer: 2, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k - 1. Let m be u(-1). Let r be 10\/m*(-6 - 10). Suppose 6*z = z + r. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3641413 to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-10))\/(1275\/68 - 18). Sort 31, y, -5 in decreasing order.\nAnswer: 31, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygl. Give prob of sequence yl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -7*(-4)\/4. Sort -1, f, -2 in descending order.\nAnswer: -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15458700 by -1.\nAnswer: -15458700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.973 - 31146203.\nAnswer: -31146203.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**5\/20 + t**4\/3 + t**2 + 5*t. What is j(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 13 - 11 - 4. Let n be x(3). Suppose 9*c = n*c - 7. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 4*l + 7 to the form f*l + v and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2962322 and 484.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 - 2*h - 2. Let x = 5 + -42. Suppose 0 = 5*d - 3*s + s - 163, 4*d = s + 131. Let b = d + x. What is a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20171 = 18*j - 19685 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174672688*i**2 - 321084619*i wrt i?\nAnswer: -349345376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154474*a - 154474*a - 292719*a**3.\nAnswer: -292719*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526557975 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -4 - (3 + 6 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljjlljjjjjjjl. Give prob of picking 1 l and 2 j.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27706\/9 - 3085. What is the common denominator of -11\/3 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10.128 (b) 5 (c) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbbgggsggb. Give prob of picking 2 g and 1 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -175.33\nAnswer: 157.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.39 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 14, c: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354194?\nAnswer: 2, 409, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 9*h**2 - 26*h**2)*(h - 2*h + 2*h).\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 396, 469, 586, 741, 928?\n\"Answer: -l**3 + 28*l**2 - 4*l + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7384)\/(-1136))\/(2\/4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -349ca9 + -9?\nAnswer: -349cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 44 = -4*o, 2*o + 3*o = 4*f + 1. Suppose 2*c = f*c - 8. What is the units digit of 4*9\/12 + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63457189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412268?\nAnswer: 2, 683, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6.3, 1\/4, 3\/2, 4\/7, -0.01?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/70 + 216\/(-810). What is the second smallest value in d, 1, 0.04, -2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 38*w + 319. Let i(v) = -29*v - 1599 + 170*v - 38*v - 292*v. Let m(n) = -2*i(n) - 11*x(n). What is the derivative of m(p) wrt p?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, -3, 315 in increasing order.\nAnswer: -13, -3, -2, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-75) + 5\/(-150)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 k when four letters picked without replacement from ckjkukukjukjckk.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)*o**(-1\/4))\/(((o*o**(3\/5))\/o)\/(o\/((o**(-5)*o)\/o))))**2 assuming o is positive.\nAnswer: o**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*84\/126)\/((-1)\/54).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*4.7628\nAnswer: -9.5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 - 28918*o**3\/15 + 9298*o**2\/5 + 642*o\/5 - 962\/15 = 0.\nAnswer: -1\/5, 1\/6, 1, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxt when four letters picked without replacement from txtroxvxxtxxtxx?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -28. Suppose -25 = z + 3*x, 0 = 5*z + 2*x - 41 + 127. Let p be 2\/z + 25\/72. Sort -0.5, h, p.\nAnswer: h, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - -17)\/((-1)\/(-149)) - -2. Let u = 39 + y. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:44 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a + 537*a + 547*a - 1804*a + 542*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 3}. What is prob of sequence vt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.24 + 4.94. What is the smallest value in u, 0.5, 12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*d - 5, -5*d + 35 = -5*z + 4*z. Let f(l) = 2*l**3 + 23*l**2 - 13*l - 16. Let t be f(-12). What is the units digit of (10\/t)\/(2 + z\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/210*(-15)\/6*(-14)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 4\/(-4) + 3. Suppose r*a = -0*a. Solve 4*h + a*h = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = 3*h. Let u = 10 + h. Suppose -5*k + 3*k = -46. What is the remainder when k is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1\/8)*j)*j)\/(j*j**0\/j))\/(j**(4\/23)*j*j**(1\/9)*j*j) assuming j is positive.\nAnswer: j**(-5233\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-4 + 1 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -20, -1 in decreasing order.\nAnswer: 5, 3, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16363, -16209, -15951, -15589, -15123, -14553, -13879?\n\"Answer: 52*b**2 - 2*b - 16413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 31*o**2 + 99*o + 1753. What are the prime factors of c(-17)?\nAnswer: 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -64\/273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqhqtzqqhqqqhhq. What is prob of sequence hhhz?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*m = 27, 203*a - 2*m + 3 = 202*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 161. Solve 5*x - 3*c - 11 - 5 = 0, 2*x + 3*c = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2022305 - -13?\nAnswer: 2022320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18359\/1983? (a) 2\/15 (b) 0.5 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*v + v - 2*f, 3*v = -3*f - 3. Suppose -i + 8 = 2*x, v - 7 = -x + i. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 25. Let j(d) = d**2 + 4*d - 21. Let t be j(-7). What is v(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0342 - 8.1658. Which is the second biggest value? (a) 2 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4305, 8608, 12913, 17220, 21529?\nAnswer: 25840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 116567*y - 116567*y + 20*y**2. Let a(t) = 13*t**2. What is a(x(r))?\nAnswer: 5200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 118b1b (base 12) to base 16\nAnswer: 45947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 + 227. Solve -h + 12 = -2*w, w - f*h = -2*w - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.475 and -704.\nAnswer: -728.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 183692 = -14*h, -5*h - 2*v - 14315 = -79903. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-245)\/147)\/((-1)\/(-1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 7*s + 12. Let l be i(7). Suppose -x - 3*t = -l, -4*x = -3*t - t. Which is the biggest value? (a) x (b) -4 (c) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2*m - 11. Let s be h(-5). Solve -v - 11 = 5*n, 0 = -s*v + 5*n - 0 + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 341 or 1712\/5?\nAnswer: 1712\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 27 - 30)*(6 - 3*l - 4 - 1).\nAnswer: 99*l - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*b - 52 + 52)*(2*b**2 + 3 - 3) - 2*b**3 - 5*b**2 + 5*b**2 + 12*b - 2*b**3 + b**2 - 7*b + 5*b as p*b**2 + z*b**3 + s*b + i and give z.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.1, -2 in decreasing order.\nAnswer: 3\/2, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -78*z**5\/7 + 13568*z**4\/7 - 481266*z**3\/7 + 2055544*z**2\/7 + 15240*z = 0.\nAnswer: -2\/39, 0, 5, 42, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/19 + -4\/95. Let i = -0.29 - -0.69. Let u = 1 + 3. What is the second smallest value in u, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (492*z + 108 - 108 + 673*z)*(-91*z**2 + 3*z - z + 81*z**2).\nAnswer: -11650*z**3 + 2330*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 16)\/(1595\/(-22))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab4a20d + 3?\nAnswer: -ab4a20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -3. Let r be (-3)\/6*((-28)\/i + -3). Let k = 27 - 27.02. What is the nearest to k in r, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 133 + 91 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -35. Let s be (45\/25)\/((-6)\/l). Let n(q) = -q + 1. Determine n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2414800 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -521460, -521458, -521456?\n\"Answer: 2*j - 521462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208055 - 208055 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 105 - 2*z - 210 + 5*z + 106. Let w(s) = -s**3 + 4*s**2 - s + 1. Let b be w(4). Calculate l(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345.5 - 345. Which is the smallest value? (a) 2 (b) -1 (c) f (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n - 14*n + 452. Suppose -77 = -3*o - 284. Let i = o - n. What is the greatest common factor of 44 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let p(t) = -t**2 + 5*t - 7. Calculate -2*k(b) - p(b).\nAnswer: b**2 - 3*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -315170, -630391, -945614, -1260839?\n\"Answer: -x**2 - 315218*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.146, 0.1, 5\/3, -2 in decreasing order.\nAnswer: 5\/3, 0.146, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20793*u**2 - 66*u**5 - 20793*u**2 + (-5*u**4 + 15*u**4 - u**4)*(-u + 0 + 0).\nAnswer: -75*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, 3 in decreasing order.\nAnswer: 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 12, f: 2, q: 2, b: 1, h: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-88))\/((-4)\/22))\/(162\/(-24))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 0*a - a + (-4 + 2 + 4)*((2 + 1 - 4)*(14 + a - 9*a - 13) + (87 - 43 - 52)*(3*a - a - 3*a)) in the form l + u*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253962 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1244*t**2 + 87*t - 4. Let u(l) = 3734*l**2 - 262*l + 12. Let x(o) = -2*u(o) - 7*v(o). What is the second derivative of x(w) wrt w?\nAnswer: 2480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 - 148 = -2*l. Suppose -z - 14 = -l*q + 3*q, -5*q + 3*z = -22. Sort q, -2, -9, 1 in ascending order.\nAnswer: -9, -2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1067?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/4)\/(6\/(-8)). Let y be (-4)\/6 + 196\/p. Suppose y = 4*d + 8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313130132 (base 4) to base 5.\nAnswer: -24231402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5261.037 millimeters?\nAnswer: 5261037000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -10, 2.4, 0.4, -59?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 150 = 22. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6034753731 to the power of 1\/4, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(3\/5)\/u*u\/((u*u**(-3))\/u) assuming u is positive.\nAnswer: u**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*j*v**3 + 42*j*v**2 + 1571*j wrt v.\nAnswer: -36*j*v**2 + 84*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99483 - 397895\/4. Solve -w - 9\/4*w**5 + 0 + 15\/2*w**4 + 5*w**2 - r*w**3 = 0 for w.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74863\/2682 smaller than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/119 - -32\/119. Let t = -0.3 - -4.3. Which is the closest to k? (a) 3 (b) t (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/29414 and 39\/21010.\nAnswer: 147070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 1. Suppose 2*f - r = 4. Suppose f*s - 3*i = -0*s + 32, -5*i = 20. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3337 in -1383, 2\/5, 1\/3?\nAnswer: -1383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x**3 + 205*x**2 + 21*x - 38. Determine n(-17).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 1692.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 6*h - 4*h - 279, 4*o = 3*h + 1094. Calculate the greatest common factor of o and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315 by 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5090 = -2*y, -4*y + 153 = -5*h + 6509. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -17, -40, -83, -152, -253?\n\"Answer: -n**3 - n**2 + n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -496\/441 + 17\/49. What is the nearest to 0.1 in 1\/4, 3\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -223*q. Let t(d) = 1297983*d**2. What is x(t(s))?\nAnswer: -289450209*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -430.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Suppose 0*x + x = w. Solve 4*n = -5*i - 26, 4*i + n + 11 + 1 = x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.73 + -2.726. Let t = d + 1. Round t to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.94, -2\/11, -9, 3\/11, -2, 1\/6?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + i)*(5 - 2 + 0) + 4*i - 4*i - 2*i + (2*i - 2*i - i)*(10 + 4 + 0).\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24333983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**3 - 2*v**2 + 1\/12*v**4 + 3*v + 0. Let n = -11 - -4. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (41 - ((-5)\/(-1) + -4)) + -4. Suppose 9*l - 3*l - a = 0. Solve l*x - 3*x = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*46 - (-2 + 1). Suppose 2*x + 8 = 0, -p - 4*p = -4*x + 184. Let d be ((-6)\/p)\/(o\/24). Which is the closest to 0? (a) -4 (b) d (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5985, -5953, -5863, -5685, -5389, -4945?\n\"Answer: 5*x**3 - x**2 - 5989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x + 40 - 40)*(0 + 3 - 1).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p**3 + 169*p**2 + 300*p + 3606. Give c(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -271889*p + 26659 wrt p.\nAnswer: -271889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, 2, 0, -3.\nAnswer: -3, 0, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let w be (-2)\/(30\/m + -1). Let j = 0.8 - -0.2. Which is greater: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 + -2)*1)\/(-1). Let o = h - -4. Suppose p - 6*s + s = 86, 0 = o*p - s - 454. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (130\/15)\/(8\/(-133)). Let t = -627\/4 - d. Which is greater: -12 or t?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1574 = 5*t + 4*d + 1441, 5*t + 3*d = -3010. Is t\/8*-4 - 5\/(-10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 2*r = 5*k + 14, 0 = -2*k - 5*r - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -158*s - 1. Let t(o) be the second derivative of -87*o + 0*o**2 + 0*o**3 + 1\/6*o**4 - 1. Determine m(t(h)).\nAnswer: -316*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + -0.1. Let g = 0.1 - a. Let t be (-26)\/(-6) + (-13)\/39. Put g, t, 0.5 in decreasing order.\nAnswer: t, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - k - 1. Let b(m) = -20*m**2 - 2*m - 2. What is b(d) - 2*i(d)?\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 11*v - v - 14*v to the form w*v + f and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y + 13*y - 103*y to q + t*y and give t.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21114 = 19*h - 119942. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 204*q - 172*q - 4*q**2 + 6*q**2)*(2*q**2 - 2*q**2 - 2*q**2).\nAnswer: -4*q**4 - 64*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4823 + 16008. What are the prime factors of u?\nAnswer: 5, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = -2*l + 2, -3*v = 4*l - 15. Calculate the highest common divisor of v and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 8*r - 3. Let j be g(6). Suppose 17*z - j + 4 = 0. Let b be (-33)\/(6 - 9) + z*-4. Calculate the greatest common factor of b and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9799, -15348, -24597, -37546, -54195?\n\"Answer: -1850*x**2 + x - 7950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 552 and 144.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705845, 705841, 705833, 705821?\nAnswer: 705805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37506559 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 2*g**2 + 0*g**2 + (0*g + 2*g - g)*(2*g + g - 5*g) + 82*g - 82*g - 16*g**2)*(1 - 1 - 3)*(1 + g - 1).\nAnswer: 51*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12722, 13521, 14854, 16721, 19122, 22057, 25526?\n\"Answer: 267*d**2 - 2*d + 12457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n**2. Let c(t) = -t**2 - 1. Determine u(c(b)).\nAnswer: -14*b**4 - 28*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 6*g**2 + 193*g - 2360. Give p(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 13*q**2 + 67*q + 19. Let u be w(17). Suppose u*h - 1325 - 167 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5138 - -5137.87386. What is n rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18870 + -18866. Sort s, 0, 296.\nAnswer: 0, s, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 20 = 6*v. Suppose v*o - 16 = o. Calculate the remainder when 40 - 13 - (24 - 5) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/3 - 32\/9. What is the second biggest value in -3, u, 2\/5, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12318 + -3781. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128971 times -0.5?\nAnswer: 64485.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 - -133. List the prime factors of (30\/x)\/((-7)\/210)*-4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = j - 21 + 7, -4*t - 24 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/9 - 66\/(-297). Solve -o*h - 21 = t, 10*h - 5*h + 20 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(((-6)\/(-38))\/(-1)). Suppose 0 = 17*o - h*o. Solve -7 = -5*k - o*l + 3*l, 0 = 4*k - 3*l - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167\/16116 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*l + 2*l + 2 + 4*l**2.\nAnswer: 4*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 569772457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let p(t) = -49*t**2 + 8*t. Let c(n) be the first derivative of 50*n**3\/3 - 7*n**2\/2 + 4. Let o(l) = -7*c(l) - 6*p(l). What is o(s(j))?\nAnswer: -56*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47692004*l**2*s**2 + 3*l**2 + 4*l*s - 4874520*s wrt s?\nAnswer: -95384008*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/21*(7 - 33\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271718 + 0.127801004.\nAnswer: -271717.872198996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.296 + 14.196. Round d to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*z - 17 = 6*z, 0 = 2*r - 5*z - 1. What is the common denominator of 95\/48 and ((-15)\/r)\/(4 + (-615)\/156)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*r + 801 = -952*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9139.2 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 12:22 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 2*x = -118, 0 = 2*v - 122567*x + 122572*x - 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (-10 + 29 + -65)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i + 2. Let q(v) = v + 1. What is -h(d) + 4*q(d)?\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z. Suppose -5*j + 3*j = -6. Suppose j = -w + 2. What is d(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514535.\nAnswer: 3, 5, 11, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(64)\/sqrt(2))**2.\nAnswer: 56*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -74 and 23.2?\nAnswer: 97.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35356987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**4\/12 - w**3\/2 + 20*w**2. Calculate k(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 76*g**2 + 771*g + 101. Determine m(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32347 + -341074777.\nAnswer: -341107124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 3*z**2 + 4*z - 3. Calculate g(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11217.485 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 - 3*m - 3. Let a be i(3). Suppose -t - 2*t = -a. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 20176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 - 81. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4680 and 3590640.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7657449 is divided by 3774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 - -4. Let p = -153 - -150. Let j = -0.2 + 0. Sort p, x, j in descending order.\nAnswer: x, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713 + 654. Sort 4, -3, p in increasing order.\nAnswer: p, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, -17, -52, -111, -200?\n\"Answer: -t**3 - 3*t**2 - t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/216367143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 7*k + 8. Let d(b) be the first derivative of 2*b**3\/3 - 13*b**2\/2 + 15*b + 9. Determine 6*d(v) - 11*s(v).\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -0.3, 46, -0.4, 0.3 in ascending order.\nAnswer: -5\/2, -0.4, -0.3, 0.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-27) - 8\/(-72). Let k be (-837)\/(-1242) - 1\/4*2. Do k and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182 by -1840.\nAnswer: -91\/920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257*g**4 - 7*g**2 - g - 4515.\nAnswer: 3084*g**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8939.446um?\nAnswer: 8.939446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/120 + d**5\/10 + 3*d**4\/8 - 2*d**3 + 27*d**2. Let b be s(7). Solve -b*x + 4 = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11537 - 1040. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 - (-38 - -4). Let o = -24 + 79\/3. Find the common denominator of -4 + -4 + 1 + q and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 5*g**2 - 2*g**2. Let x(i) = -20*i**2 - 22. Let l(b) = b**2 + 1. Let a(u) = 88*l(u) + 4*x(u). Determine d(a(r)).\nAnswer: 64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -260) + -214 - (-2 + 3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 628 - 229 + 302 - 590.\nAnswer: -3*s - 1145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/112 and 17\/168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 - 5 + c**3 - 5 + 1 - 3*c**2 + 3*c. Let v be i(7). Suppose 0 = 4*m + 10*m - 1344. Calculate the greatest common factor of v and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -322414?\nAnswer: 322410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -12897.9356381571.\nAnswer: -12897.8356381571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 2 + (-3 - 2 + 3)*(4 - 3 - 3) + (-2 + 2 - 2)*(4 + 0 - 2) - 5 + 5 - 1)*(r**3 - 3 + 3 + (2 - r**2 - 2)*(4 - 4 - r)).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 4745*v**3 + 1648110*v**2 + 245873900*v + 13062473240 = 0. What is v?\nAnswer: -274, -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 0 + 0 + 19*t**3 + 269*t**3.\nAnswer: 288*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1139319, 2278763, 3418207, 4557651, 5697095, 6836539?\n\"Answer: 1139444*i - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 347, 677, 993, 1289, 1559, 1797, 1997?\n\"Answer: -h**3 - h**2 + 340*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 817*a + 477*a + 188*a + 179*a - 134541 for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2241600 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157.\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -143404+10.3777\nAnswer: -143393.6223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 39. Let u = 233 + -333. What is the remainder when (u\/(-35))\/(6\/105) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/8)*(n\/(n*(n*n*n*((n**(2\/35)*n)\/n)\/n)\/n))\/n*n*n*n*n*n**25*n*n**25 assuming n is positive.\nAnswer: n**(14789\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*m**4*r**3 - 72003*m**3*r**3 - 3*m*r**2 - 16*r**3 - 3622*r**2 wrt m?\nAnswer: 504*m**2*r**3 - 432018*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from llllxllxxxl?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -129, -275, -527, -921, -1493, -2279?\nAnswer: -3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-51) - (-7670)\/(-3009)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(53*q**5 + 364*q**3 - 367*q**3 - q**4 - q**4).\nAnswer: 106*q**5 - 4*q**4 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5247 >= -5247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80335\/61 - 1317. Suppose -28 = -4*f - 8. Let t(x) = -x**2 + 4*x + 4. Let q be t(f). Is j > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -236, -474, -712, -950, -1188, -1426?\n\"Answer: -238*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*h**3 - 76*h**3 + 43*h**3.\nAnswer: -121*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2871 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942?\nAnswer: 2, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 579717, 1159430, 1739143, 2318856, 2898569, 3478282?\n\"Answer: 579713*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946528358.\nAnswer: 2, 3, 101, 3212093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321327264 divided by -55344?\nAnswer: -5806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144\/1573 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18 + -0.2. Let n = 17931.8 - 17932. Let i = -14 + 15. Sort b, i, n in decreasing order.\nAnswer: i, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -62, -92, -132, -182, -242, -312?\n\"Answer: -5*w**2 - 5*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 20*t - 19. Let o be y(11). Let h(c) = c**2 - 3*c - 3. Determine h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqtt when four letters picked without replacement from {t: 3, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/4*(-750)\/(-75)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 530\/17 - 5339\/102. Calculate the common denominator of j and 795\/1998 - 4\/18.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - 59. Is n less than -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let c = 9 + u. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204) + (sqrt(204) - (sqrt(204) - (6*4*sqrt(204) + sqrt(204)))))\/sqrt(12))**2 - ((sqrt(17) + -6*sqrt(170)\/sqrt(10))**2 + 2).\nAnswer: 11966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + 26 + (3 - 4 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121999 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070039 is divided by 86251?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 12:05 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 2\/6475, -17\/3, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + p = -149, 2*p - 32 = 5*v - 222. Solve -v = -w - 31 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.8 + 4. Let z = 15.7 - w. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564 divided by 391.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from pnpnn.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4113b (base 12) to base 10.\nAnswer: -84863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(2 + sqrt(117))*-5 - (1 + sqrt(117) + -5 + 1 + sqrt(117)*2)**2)*-2.\nAnswer: -258*sqrt(13) + 2024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h - 28. Let k = -4 - h. Suppose -k*u + 147 = 5*a + 5, 3*u - 12 = 0. What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3951 + 11032. Is a a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/15 (c) 0.1 (d) -114188 (e) 2\/3 (f) 0.9 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510015920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-7))\/(-6 - 415*(-5)\/350). Solve s*k = -5*d - 5, 4*d + 6 = -4*k + 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101111110 (base 2) to base 6\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)*a**(1\/15)*(a**(3\/2))**(-2\/17) assuming a is positive.\nAnswer: a**(-1048\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/716702 and -73\/210.\nAnswer: 10750530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02322 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r + 0*r**3 - 115*r - 3*r**3 + 61*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14\/21 + 130\/570.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**4\/q)\/q)\/q**(-1\/5))\/((q*q*q*(q\/(q\/q**(-1\/3)))\/q)\/q*q\/((q\/q**(-5))\/q))*q**4\/q**(2\/7)*q\/((q*q**(-1\/2)*q)\/q)*(q*q**2)\/q assuming q is positive.\nAnswer: q**(2677\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -155*k**3 - k**2 - k. Let f be l(-1). Suppose -5*j - 3*g = -147, -j = 4*j - 5*g - f. Let s be (-8)\/(-2)*6\/j. Sort 5, s, -3.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**4 + 6*f**4 - 11 + 2*f**4 + (3*f**4 - 4*f**4 - f**4)*(4 - 4 - 7) - 1 + f**4 + 1 to o*f**2 + k + a*f**4 + g*f + p*f**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 10*d - 277. Let l = 26 + -12. What is the highest common factor of l and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*1*5 + 1.\nAnswer: 1 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004311 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 14 - (9 + 44 - (0 - -7))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.6669 to one decimal place.\nAnswer: 61.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.894076 rounded to three dps?\nAnswer: -1.894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 34*q + 22. Let i(n) = -8 + 0*n - 33*n - 14. Let u(t) = 6*i(t) + 7*r(t). What is the derivative of u(x) wrt x?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -0.1, 5, 2 in decreasing order.\nAnswer: 5, 2, -0.1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -3 + 6 + (-1475)\/590\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431.\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 6. Let i(j) = j**2. Give i(r(v)).\nAnswer: v**4 + 12*v**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 980. Let s be n\/(-5)*2\/(-2). Let m = -44 + s. What is the greatest common factor of m and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**6\/6 - d**4\/12 - d - 5. Let l(n) be the first derivative of c(n). Find the third derivative of l(a) wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -23*v + 324. Let u(y) = y**3 + 11*y**2. Let b be u(-11). What are the prime factors of n(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*1*((-920)\/(-20))\/((-35)\/((-210)\/36))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562398008 times -0.3?\nAnswer: -468719402.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56283.\nAnswer: 3, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 + -764 + (51 - -1 - 1) + 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (0 + sqrt(13) - sqrt(13))*2 + 3)*5)**2.\nAnswer: 150*sqrt(13) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = z - 2*z + g, 9 = -z - 5*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 56\/3071729 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 327, 723, 1273, 1977, 2835, 3847?\nAnswer: 5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1011397478 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -6 (b) 187 (c) -8 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 988044.7ms?\nAnswer: 988044700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 2, e: 8, z: 4}. What is prob of picking 1 p and 1 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -40*g**3\/3 + 92. Let i(u) be the third derivative of -u**5\/12 + 7*u**2 - 1. Determine i(s(a)).\nAnswer: -8000*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 325. Suppose 16*h + 11 - p = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqq. Give prob of sequence qqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000080917 to 7 dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 2*s - 3*s + 0*s + 7*s - 3*s + (4 - 6 + 1)*(1 + s - 1) - 4*s + 0*s - 5*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/4 + 10*v**3\/3 - 9*v**2\/2 + 10*v + 343. Give d(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -7, 14 in descending order.\nAnswer: 14, 1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and -23.5?\nAnswer: -51.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - -29. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279\/1540 - -64\/77. Find the common denominator of -131\/12 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*g = 2*g - 3459, 2*m - 1710 = 4*g. Suppose -11*v + 547 = -m. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(80)\/(sqrt(2) - -1*sqrt(50)))\/((5*sqrt(640))\/((sqrt(50)\/sqrt(2))\/sqrt(5))))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + w**3 + 3)*(w**2 - w + w) - 3*w**5 - 2*w**2 + 2*w**2 + 2*w**5 - 2*w**5 - w**5 + 17*w**5 + 0*w**5 + 4*w**5.\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(9*y**3 - 9*y**3 + 13*y**4) in the form v*y**3 + r*y**2 + n + c*y + f*y**4 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**3 + 0*f + 0 + 8*f**2 + 13\/24*f**4. Let x(r) = -2*r. Give x(d(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -948\/17 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 188 = -16*b, -125*g + 123*g - 16 = -4*b - 28 - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 3*n + 2. Let r(j) = 2*j**3 + 2*j + 1. Let d(a) = 5*c(a) - 6*r(a). Let u(s) = -4*s**3 + 7*s + 7. What is 7*d(o) - 4*u(o)?\nAnswer: 2*o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9585.6582055 + 3235.\nAnswer: -6350.6582055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21101221202202 - 2?\nAnswer: 21101221202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 807 = -2*u, -o + 2*u + 352 = 197. Calculate the remainder when 495 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*155\/2604)\/((-1)\/(-24)*-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.4 + -81.6. Let n = b + 92.00034. What is n rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:12 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.301 (b) 3\/53 (c) 0 (d) 0.1 (e) -1\/12 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 730 - 728. Let c be -3 - -15*(-1 - -2 - 0). Solve -4*r - p*r = -c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:32 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 9*v. Suppose v = -2*l + 1 + 1, j + l = 6. Calculate the highest common divisor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12813178 and 5012.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*l**4*p**2 - 10*l**3*p + 93*l**3 - 406*l**2*p**2 + 26*l**2 wrt l.\nAnswer: 1176*l*p**2 - 60*p + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - (-8)\/(-5). What are the prime factors of (g\/2)\/(6\/(-78))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 218 = -299 + 321 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7638838 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + 1.2. What is the closest to 0 in 2, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 85*g**5 + 268620*g**4 + 282539810*g**3 + 98459014400*g**2 - 474699597375*g + 305302757500 = 0.\nAnswer: -1055, 13\/17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*o**2 - 15*o + 31*o - 8*o**4 + 4*o**5 - 5*o**3 - 7*o**3.\nAnswer: 4*o*(o - 2)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose 0 = 5*j - f*j - 5*v - 17, -2*j + 14 = -4*v. Let x(o) = 9*o**2 + o. Calculate x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(110) - 1*sqrt(110))*-3*5)\/(sqrt(640) + -1*(2*sqrt(640) + sqrt(640)) - sqrt(640))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.02 (b) -0.3 (c) -2\/27 (d) 9 (e) 135 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1011100110 (base 2) to base 4\nAnswer: 23212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 39. Let z be (-1 + 0)\/(n - -9). Is z > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2302 by 1151.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000.213 millilitres to litres.\nAnswer: 3.000213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106542066 - -2?\nAnswer: 106542101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 215*s**3 + 74*s**3 - 909*s**3.\nAnswer: -620*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b**5 + 693164*b**4 + 33100*b**3 - 759180*b**2 - 33016*b + 66016 = 0 for b.\nAnswer: -1, -1\/3, 2\/7, 1, 8252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11498, -22981, -34460, -45935?\n\"Answer: 2*j**2 - 11489*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15970648 divided by -2668\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49248570 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-8)*4 + (-77)\/(-2). Let v = c - 16. What is the remainder when 148 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 44 - 42, -4*a - 2*y = -259912. List the prime factors of a.\nAnswer: 181, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:26 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7342946.\nAnswer: 2, 13, 17, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 1131\/135 - 12\/(-30). Which is greater: q or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*l + 539, 5*l + 7*y = 3*y + 904. Let g = l - 109. Let c(a) = 3*a + 3. Calculate the remainder when g is divided by c(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5302070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.78 - -36.38. What is the closest to -1 in -4, 0.1, p, -0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2. Suppose -5*r + 14 + 11 = 0. Let q(t) = -t**2. Suppose -8 = -0*u - 2*u. Determine r*q(x) + u*y(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-5))\/g)\/(g\/(g*g**4)) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from bbbappap?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 7*a**4 + 40)*(-2 - 1 + 2) + (4*a**2 - 2*a**2 - 3*a**2)*(-55 + 11*a**2 + 55).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q - 27*n = -87*q - 84, -3*n = -12 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**8\/6720 + a**7\/315 - a**5\/40 + a**4 + 3*a. Let w(h) be the third derivative of f(h). Determine w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34006036 (base 8) in base 5?\nAnswer: 3334440014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/47))\/(y*(y**(-4\/3)*y)\/y))**(-1\/68) assuming y is positive.\nAnswer: y**(-91\/4794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y - 1. Let v(m) = -m**3 + 12*m**2 - 10*m - 8. Let f be v(11). Is t(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67158050?\nAnswer: 2, 5, 1343161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 436203 rounded to the nearest one thousand?\nAnswer: 436000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -1\/3*p**4 - 5\/6*p**3 - 3*p**2 + 11*p + 0 + 1\/20*p**5. Determine a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56888, -113776, -170666, -227558, -284452?\nAnswer: -341348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 2, c: 2, a: 2, x: 1, s: 1}. Give prob of sequence sxc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 4.3999932. What is x rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 - 4*o. Let s be y(6). Suppose -s*a = -10*a - 4. Solve t - 3 = -a*v, -3*v = 3*t - 2 - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3, 5, -71, -3788 in descending order.\nAnswer: 5, 3, 2, -3, -71, -3788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i = 6*i + 234. Suppose 4*t = 29 + 31. Let d be t\/9 - (-1)\/i. Solve -5 = -g + d*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 791 - 199. Let a = 1 + k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44105.\nAnswer: 5, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.93 * 169983.\nAnswer: -1177982.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1 - -2)\/((-4)\/(-2)). Solve v = -2*n - g - 0 + 1, -n + 23 = 5*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10902199, -10902200, -10902201?\nAnswer: -10902202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(36)\/sqrt(432) - (-5 + sqrt(3) + 3) - -3*-4*4*(sqrt(3) + 0)) + -5)**2.\nAnswer: 1465*sqrt(3) + 429785\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*j - 356342 + 359838 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*d = 2 + 36, 5*q = -3*d + 59. Is 40\/(-100) + 35114\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 - 10*n + 9. Determine g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 81*a**6 + 2*a**4 - 81*a**2 + 2. Let n(x) = x**6 - x**4 + x**2 - 1. Let m(g) = 2*n(g) + z(g). What is the third derivative of m(s) wrt s?\nAnswer: 9960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/38*18639\/3924*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4443760 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4175776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(3*k - 4*k + 0*k)*(2 - 4 - 5).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + 6. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 2 (b) -6 (c) -5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 4, -3 in ascending order.\nAnswer: -71, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238 - -244. Calculate the remainder when (53\/(-5) - -7)\/(z\/(-40)) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1067*z - 1497. Let n be s(4). What is the highest common factor of n and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3203654?\nAnswer: 2, 769, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -6 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(64)*1 + sqrt(144)*5))\/(2*(sqrt(200) - -6*-1*sqrt(200))).\nAnswer: 34*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 0.1. Let m = 3394\/15 - 1913\/5. Let d = 155 + m. Which is the closest to v? (a) -0.5 (b) 1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 44, 146, 296, 500, 764?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -100. Suppose j + g = 4*j. Suppose -5*i + 6 = -14. What is the remainder when j is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19174831 divided by -14.\nAnswer: 19174831\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*t**2 + 45388758*m*t - 15575*m + 5882 with respect to t.\nAnswer: -4*m*t + 45388758*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*(-198)\/(-120))\/((-3)\/(-4 + -3224)). Calculate the highest common divisor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 5920*i**2 - 253932*i + 2684808.\nAnswer: 4*(i - 21)**2*(i + 1522)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z**2 - 38*z + 344. Calculate g(16).\nAnswer: 3064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*r - 15 = 0, -3*v - 14 = -3*r - 5. Solve 3*q + 2 + 1 = v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 2*b. What is the highest common factor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2673728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkkh when four letters picked without replacement from {d: 1, h: 3, k: 2, g: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcvvcjclccvvvvc. Give prob of sequence vl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(320) + sqrt(20) - sqrt(20)))\/sqrt(4))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -81ca4 (base 15) to base 14\nAnswer: -a9c17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 22*i + 4*m + 16 = 0, -5*m = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-198)\/8)\/33*(1 - 2213)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + o - 1. Calculate k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041 and -1.14.\nAnswer: -0.04674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 + 123*n**2 - 31*n - 7. Calculate q(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a millennium?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24925592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20377, 20366, 20349, 20326?\n\"Answer: -3*s**2 - 2*s + 20382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*6\/(-27))\/((-84)\/(-21)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8574307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 = 2*p. Suppose p*v - 6*v + 71 = 2*m, 5*v - 2*m = 145. Suppose -2*b = b - v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 27*b**2 - 3*b. Let c(r) = -12*r**2 - 14*r. Let z(v) = 10*v**2 + 12*v. Let f(p) = 6*c(p) + 7*z(p). Calculate d(f(j)).\nAnswer: 108*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/15, -2\/7, -2, -2399?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71427092 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -43 - ((8 - -1) + (-125 - -113)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471453827 to the power of 1\/3, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:28 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {k: 1, o: 1, d: 1, p: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -155, -4, 67, -5 in ascending order.\nAnswer: -155, -5, -4, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/10 + o**4\/4 + o**3\/6 + 4*o**2 - 32*o. What is the units digit of b(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**(-1\/24)*p)\/p)\/p)\/p*p)\/((p\/((p**(-2\/39)\/p*p)\/p))\/p))\/(p**19*p)**(6\/7) assuming p is positive.\nAnswer: p**(-42011\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -104.5 + -18\nAnswer: -122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 50, -10, 5, 12 in ascending order.\nAnswer: -10, 3, 5, 12, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 278350 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiririwdrr. Give prob of picking 1 i and 1 r.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-150)\/(-9))*15\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -100*l**2 + 58. Let b(a) = a**2 + a - 2. Let v(o) = 2*b(o) + u(o). What is the first derivative of v(j) wrt j?\nAnswer: -196*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7954587 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*n**2 - 100*n**2 + 52*n**2 - 5*n - 2*n - 46*n**2 to the form r*n**2 + a + q*n and give r.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.06 + 15.01. Let l = -7 + 2. What is the fourth biggest value in o, -0.4, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k**3 - 7*k**2 - 6*k - 6. Let h be n(-2). Solve 0 = -3*v - h + 101 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118903, 119027, 119151, 119275, 119399?\nAnswer: 119523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1143663 (base 14) to base 13\nAnswer: 192233b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 136330838.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 20*m**2 - 15*m + 10. Let h(f) be the third derivative of 3*f**5\/20 - f**4\/3 + 5*f**3\/6 - 20*f**2. Let r(y) = 5*h(y) - 2*v(y). Factor r(w).\nAnswer: 5*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148261, -148283, -148319, -148375, -148457?\nAnswer: -148571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5 - c + 5. Let l(n) = 3*n**2 - 2*n - 2. Let b be l(2). Let z(d) = -d - b*d + 4*d + 4*d. Give s(z(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(30\/(-450))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -64*y**2 - 1056*y + 1092. Let g(x) = 7*x**2 + 117*x - 121. Let d(r) = 28*g(r) + 3*w(r). Factor d(o).\nAnswer: 4*(o - 1)*(o + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2*sqrt(3))**2*5 - (((sqrt(432) + 2 - sqrt(432)) + sqrt(432))**2 + 3))*-2.\nAnswer: 96*sqrt(3) + 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -904, -1584, -2292, -3034, -3816, -4644, -5524?\n\"Answer: -j**3 - 8*j**2 - 649*j - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 279966 and 279960 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, -12, -77, -178, -321?\n\"Answer: -w**3 - 9*w**2 - w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 7476 = 13*b. Suppose -3*q = -3*t + 2067 + b, 4*q = 3*t - 5801. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 13*i + 5. Let m be v(15). Suppose -m = u - 6*u. Solve 0 = 4*p + 12, n + 3*n - 5*p = u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/6)*8\/(-24).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -g. Let z = g - 20. Let y = z - -7. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6442 - 6444. Let o(m) = m**2 + 6*m - 1. What is o(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 3*g + 2*g)*(0 + 1 - 4) - g + g - g + (0 + 2*g + 0)*(-2 + 2 + 1) - 2*g - 1 + 1 + 3*g - 3*g - g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228275 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2. Let s(u) = -131 + 3*u - 135 + 275. What is s(f(k))?\nAnswer: 6*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Suppose -1 = 4*h - m, -h + m = 4*h + 1. Let l = 5 - h. What is the greatest common factor of i and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3758905 and 121830?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223 + 173. Let y = c + 88. Calculate the remainder when 264 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**5 + 1965*w**2 - 18183*w wrt w?\nAnswer: 20*w**3 + 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -96. Suppose 4*n = 5*v + 168, 2*n - 48 = -f*v + 36. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -7545.\nAnswer: -1\/1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3246, 4362, 5478?\nAnswer: 6594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((350\/15)\/7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 12*f + 186 = -5*k, -2*f - 94 = 3*k. Let l = k - -132. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/105 - z**4\/2 + z**2 + 12*z. Let d(x) be the first derivative of s(x). What is the second derivative of d(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8246*m**3 + 8153*m**3 - 234*m - 5*m**2 + 234*m.\nAnswer: -93*m**3 - 5*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5298, -2\/19, 2.\nAnswer: -0.2, -2\/19, 2, 5298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 29. Let y be a(7). Let d(v) = 4*v - 61. Let s be d(y). Let t(m) = 3*m**2 - 3*m - 2. Calculate the least common multiple of 34 and t(s).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1 = -2*o - 3*n, -3*o = -4*n - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(7\/4)*q))**6 assuming q is positive.\nAnswer: q**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 15, -3*k = 4*x - 131 - 7. Is ((-2110)\/k)\/((-1)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {n: 6, l: 2, k: 2, e: 2, x: 3, r: 3}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*u**4\/7 - 556*u**3\/7 - 114*u**2\/7 + 1304*u\/7 + 128 = 0. What is u?\nAnswer: -16, -1, 28\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 207066*l + 5641. Is c(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q + 12. Let s be y(-11). Let v = s + 57. Let f = -13 - v. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3*t - 2. Let w be o(-4). Suppose 10 = 4*h + w, -2*f + 4*h = 0. Suppose -4*y = 5*u - 21, -2*y - 5 + 35 = -f*u. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (0 + sqrt(1008))*4 + sqrt(1008) + sqrt(1008))**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.31, 1\/2, -4, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2170, -4469, -8310, -13699, -20642, -29145, -39214, -50855?\n\"Answer: -s**3 - 765*s**2 + 3*s - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 627133\/45 + -13938. Calculate the common denominator of d and -22\/207.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3682)\/(-8) + 4\/(-16). Let y = -1001\/2 + c. Find the common denominator of 19\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1418 - 1418.01. What is the smallest value in -13, t, -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3\/4 - 153*h**2\/2 - 1437*h\/4 + 873\/2 = 0.\nAnswer: -97, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -18, -34, -56, -84?\n\"Answer: -3*n**2 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5753 - 623*p**2 + 1755*p + 3*p**3 - 6629 - 259*p**2 = 0.\nAnswer: 1, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43667597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -987, 0, 6, 1, 2 in decreasing order.\nAnswer: 6, 2, 1, 0, -987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -l - 5*c, 3*l = -2*c + 22. Let y be 7\/(-2)*(-12)\/2. Suppose -9*r + y = -l*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/14 + 4 - 3. Suppose -2\/7*v**2 - w*v + 4\/7 = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432848*h**2*j**3*z**5 + 2*h**2*j**2*z + 4*h*j**3*z + 100*h*j*z + 7*h*z wrt z?\nAnswer: 8656960*h**2*j**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-11480)*41)\/(-7)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 65. Suppose 4*d - 28 = 2*u, d + d + 2 = -u. Let f be v + (-4)\/(1 + 12\/u). Solve 1 + f = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 13. Calculate c(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t = -15*t + 3325. Which is smaller: t or 68?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g**3*u**3 - 307302*g**3*u - 45009*g**2*u**3 - 4*g**2*u**2 + g*u**3 - 2 wrt u.\nAnswer: 96*g**3 - 270054*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 3*k**2 + k**2)*(1526*k + 8658 - 8658)*(-3*k + 6*k - 2*k).\nAnswer: -3052*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.1 - 17.1. Let g = 7 + p. Which is the closest to g? (a) -0.4 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2. Let n(r) = 5*r. Let v(a) = -2*a. Let z(k) = -n(k) + 4*v(k). Determine z(w(t)).\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 - 1239*z - 12415. Determine o(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.043*-27\nAnswer: 1.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, -0.246, -1 in descending order.\nAnswer: 7, -0.246, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2122 and 0.3.\nAnswer: -636.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 44 = -5*w, -14*w - 3 = -6*w - 7*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1196298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371378 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153807.\nAnswer: 3, 167, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/6)*m)\/(m**0\/m)*(m*m\/(m*(m\/(m*m**(1\/3)*m*m))\/m)*m*m)**7 assuming m is positive.\nAnswer: m**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59085 or -59080?\nAnswer: -59080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -27. Suppose 2*w - 8 = -4*s - 2, -21 = -4*w - 5*s. What is the remainder when i is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**2. Let k(j) = 9*j - 4*j - 3*j. Calculate k(b(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 235430.\nAnswer: 1\/117715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1347846049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.318 (b) -4 (c) 41\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by 1?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -9.7. Which is the nearest to 1? (a) -1 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/15620850 and 53\/189.\nAnswer: 15620850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - r. What is n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.09786um in kilometers?\nAnswer: 0.00000003009786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 13. Let f = -10 + -1. Let k be j(f). What is the greatest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.04 (b) 56 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -32*y - 145. Let v be (3\/(-63))\/(-5*y\/75). Factor 1\/7*c**2 + 0 - 1\/7*c**3 - 1\/7*c**4 + v*c.\nAnswer: -c*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 24*c**3 + 8*c**2 - 5*c + 8. Let r(g) = -8*g**3 - 3*g**2 + 2*g - 3. Determine 8*r(d) + 3*y(d).\nAnswer: 8*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1354.6 - -1355. Let y = 0.08 - -1.92. Which is the fourth biggest value? (a) o (b) 3 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -594*k**3*s + k**3 - k*s - 141*s wrt k?\nAnswer: -3564*k*s + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (60 + 646\/(-34)) - 1*6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 1, s: 4, z: 1, x: 4, y: 4}. What is prob of sequence zyxy?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Which is smaller: -27 or u?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n. Which is the nearest to n? (a) 0.3 (b) 3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - 19. Let n = -20 - v. Is (-7)\/((-42)\/n)*12 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d. Let v(k) = k. Let f(g) = -51*v(g) - 6*x(g). Let m(n) = -2*n**2 + 2*n**2 + 2*n**2. Give f(m(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 200*j - 398*j + 198*j + 5*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*94\/(-3)*-146*117\/(-34164).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {f: 3, y: 4, i: 1, m: 1, u: 4, o: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -9. Suppose t = -3*q - 5*x + 75, q + 3*q + 2*x = 86. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.81301050943 less than -0.3?\nAnswer: -61.11301050943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00113 - -96.00113. Let p = 997587 - 997491.00112. Let c = p - n. What is c rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + 544\/12. Let q = w - -54. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696*g**3 + 9039*g**2 - 117*g = 0. Calculate g.\nAnswer: -13, 0, 3\/232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 200159448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(15\/(-18)). Let i = -6.54 + 1.46. Let o = 0.08 + i. Which is the smallest value? (a) 1\/7 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Is 2 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/a**4))\/a)\/a)\/a*a\/(a**7\/a))**31 assuming a is positive.\nAnswer: a**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 - 4*t + 5. Let o be p(4). Let w be 30\/o + 34\/10. Solve -4*z + 20 = -4*x, -13 = -w*x - 2*z - 2*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*h**4 - 34108*h**3 + 42647168*h**2 + 64081552*h - 42698304 = 0. What is h?\nAnswer: -5274, -2, 1\/2, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvolylvmz. What is prob of picking 2 v, 1 m, and 1 o?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2607271, 5214540, 7821809?\n\"Answer: 2607269*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 10872 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -64*h. Let p(j) = -4*j. Calculate x(p(s)).\nAnswer: 256*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - g + 77. Let l = -2 - -2. Suppose -40 = -5*y + 60. Calculate the remainder when f(l) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 + -218b?\nAnswer: -2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2641787 is divided by 6523.\nAnswer: 6495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 12*o - 59093 + 59120, -2*d + 2*o = -8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115\/8 - -29\/2. What is the closest to 1 in h, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30)\/((2\/(-110))\/(1023\/(-3410))).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g. Let a be (2 - 2 - 2)*-1. Let s(w) = -w**2 + 4*w + 7. Let o be s(5). Let n(p) = o*p**2 - 5*p**a + 2*p**2. Determine n(v(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5457 + -3826. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4266407 is divided by 609467.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w - 480 + 381 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*y**3 + 937*y**3 + 132*y**3.\nAnswer: 1760*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 5*k + 7*k - 11*k.\nAnswer: k + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*1\/(12\/(-75)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 0.4, 13.4, 4, -1, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 7. Let m be n(4). Let f = 4 - m. Solve -3*j = 5*a - 1 - 4, -2*a + f = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1018, 3, 4, -4, -26, -5, 2 in descending order.\nAnswer: 1018, 4, 3, 2, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 24?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886493063?\nAnswer: 17, 73, 3131743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2680.62 millilitres to litres.\nAnswer: 2.68062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 78242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 30 = 5*r - 20, -4*r - 56 = -4*b. Let n be (-4)\/3*(-6)\/4. Suppose 4*y = 5*t - 196, 3*t + n*y = 85 + b. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 27*z**2 - 3*z**2 - 3*z**2 + 6*z**2 - 4*z**2 + (0*z + z**2 + 0*z)*(3 + 2 - 7))*((23 - 23 - 9*z)*(-3 + 3 - 2) - 3*z + 2 - 2).\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3 + 24573*k**2 - 2613558*k - 2638128 = 0.\nAnswer: -8296, -1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 39*c**2 + 92*c + 221. Calculate g(-37).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from gbbxb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -651525, -3 in ascending order.\nAnswer: -651525, -6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -274a + 2db?\nAnswer: -246f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302123 (base 5) to base 8.\nAnswer: -22677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -765.3 - 244.7. What is the third biggest value in -0.1, -4, 4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -355*x**3 + 332*x**2 + 46*x - 43. What is b(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/46*31\/217*(-6 + 2).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2039, 4100, 6165, 8234?\nAnswer: 10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410 equal to 3455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40805 is divided by 971.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {r: 4, q: 5, e: 10}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddnd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*s = -z + 525*s - 11, -5*s - 9 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 166, 162, 146, 112, 54?\n\"Answer: -q**3 + 3*q + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 5*p**8\/56 + 7*p**5\/10 + 95*p**4\/6 + p**2\/2 - 273*p. What is the third derivative of v(w) wrt w?\nAnswer: 600*w**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4692153*c - 4692177*c + 936 = 0 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 11*r**2 + 7*r + 14. Let o = 992 - 982. What is the remainder when j(-10) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5597, 6\/13, -3.\nAnswer: -3, 6\/13, 5597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1880 - -13158\/7. Is -302 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464397 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*y - 3 + 2*y)*(0 - 4 + 3)*(2 + 2 - 2)*(-1 + 2 + 4).\nAnswer: 20*y + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 30*u**2 + 2*u + 4920. What are the prime factors of m(0)?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -656\/6516669 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2. Let b(a) be the second derivative of -7*a**3\/2 + 7*a**2\/2 - 33*a + 5. What is b(t(z))?\nAnswer: 63*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 212 + 58 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24932)\/1626*4*(-2)\/(-16)*-6?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 8*l**2 - 28*l - 106. Give n(11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655) + sqrt(6655)*2 + sqrt(55) - sqrt(55) - sqrt(880)*1)\/((-1*sqrt(5) + sqrt(5) - sqrt(5))*-4 - sqrt(135)\/sqrt(3)).\nAnswer: 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 4*c**3\/3 - 1. Let f(y) be the first derivative of -69*y**2\/2 + 18968. Calculate f(g(w)).\nAnswer: -276*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, k: 1, c: 8}. What is prob of sequence kggg?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 5. Let s(j) = -j + 3*j + 7 - 3. Let v = 20 - 18. Calculate v*l(x) + 3*s(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 4. Let x(t) = -t**2 + 11*t - 4. List the prime factors of x(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 10*l = -4*f - 2, 4*f = -4*l + 4. What is the second derivative of 2*v**l - 16*v**4 + 6098*v - 6097*v - 17 - 2*v**3 - 23*v**4 wrt v?\nAnswer: -468*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6716442 divided by -1.\nAnswer: 6716442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 301 and 129.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1272, 2507, 3742, 4977?\nAnswer: 6212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 - 2813*w + 419*w + 101 to q + j*w and give j.\nAnswer: -2394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-9) - 1558\/57.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000432518 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22638240811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -45340 < -226696\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 147*x**3 + 568*x**3 - x - 1828 + 1821 wrt x?\nAnswer: 4290*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998321833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*d + 241 = -d, d = 3*x - 149. Let p = x - 39. Suppose -14*v + 20 = -p*v. Solve 4 = -v*g + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693267.5 weeks in days?\nAnswer: 4852872.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4409, 8815, 13221, 17627, 22033?\nAnswer: 26439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244368 is divided by 169.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from tivnwnvvvvvtnvtn.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 + 9 = 0. Suppose -j + 13 = -a. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**4 + 2*q**3 + 2*q**2 - 198. Let f(l) = 5*l**4 - 5*l**3 - 5*l**2 + 398. Let t(j) = -2*f(j) - 5*u(j). Differentiate t(w) with respect to w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1961 + (2 - (-11)\/((-77)\/56))?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - -1*sqrt(108)*-1)\/sqrt(4))\/((-6*(sqrt(108)\/sqrt(3) + sqrt(36)))\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.228, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/15)*p*p)**(-10\/3) assuming p is positive.\nAnswer: p**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 5*v**2 - 7*v. Let b be (-5)\/(75\/18)*5. Determine y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 2\/7, -29, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 3575 = 3*x. Calculate the remainder when x is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/9*(463 - 0). Let o = b - 7711\/24. Let x = -1279\/170 + 150\/17. What is the common denominator of x and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 6. What is the lowest common multiple of l(-3) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1537669448 + -1537650639.850116. Let m = -18808.6 + g. Let j = m - -0.45. What is j rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3127\/((-1)\/(-1)) - -3. Let u be (-1)\/2 + v\/20. Suppose 0 = 4*c - u - 72. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -741*a**2 - 772*a**2 + 47*a + 1512*a**2 + 8*a**3 in the form d*a**3 + o + l*a + k*a**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 54 + 786. Suppose -j - f = -5*j. Does 14 divide ((-1)\/(-1))\/(3\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v**(-3\/13)*v)\/v)*v*v)\/v**(-3\/7))**(-6\/25) assuming v is positive.\nAnswer: v**(-2544\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 + ((-18)\/45 - 27\/(-5)). Let o(y) = 144*y - 41. Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 88 = -2*n + 28, 266 = 5*n + 2*b. Suppose n + 18 = 8*d. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 = 5*t, -2*n - 4 = -4*t + 3*t. Suppose -t*h = -7*h + 25. Suppose -2*o + 8 = -2. Is o less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 + 3*t**3\/2 + 24*t**2 + 27*t. Let q be c(13). Is 31 a factor of 1 + 219 - (q + -2 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/10)\/(96768\/103680)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d + 3*c - 448 = 0, -2*d + 5*c + 224 = 0. Suppose -2*f + 2*s = -d, -7*f + 2*s = -4*f - 169. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 70.1. Let f = j - 0.1. Let w be (3*24\/18)\/(-2). What is the second biggest value in w, f, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-178)\/(-4)*(18 - 8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2956 (base 16) to base 4\nAnswer: 2211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200220100 (base 3) in base 15?\nAnswer: 9dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-2))\/((-60)\/(-790)) and 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -461 + -1712?\nAnswer: -2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least as big as 1148658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**3 - 32*s + 22*s - 14*s**2 + 19. List the prime factors of y(15).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3821, 7458, 11095, 14732, 18369, 22006?\nAnswer: 25643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**6\/180 - 13*f**4\/12 - f**2 - 24*f - 1. Let i(o) be the third derivative of s(o). Let u(r) = -6*r**2. Give u(i(h)).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - q - 5, -6*f - 2*q - 8 = -f. Let z(g) = g - 3*g - g**3 - 5*g**3 + 1. Calculate the remainder when z(f) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21488928 - 1?\nAnswer: 21488927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1))\/n*n*n**(-15)*n**(-1\/4)\/(n\/n**23) assuming n is positive.\nAnswer: n**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (9 + 1) - (-16 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120 (base 3) to base 14.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - d - 1. Let i(r) = 36*r**2 - 6*r + 40. What is -i(f) + 10*v(f)?\nAnswer: -6*f**2 - 4*f - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + (13 - (24 + -36)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - 19?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2027*i**5 + i**3*y + 31*i**3 + 19*i**2 + 7*i*y - 332*i - 3*y - 1 wrt i.\nAnswer: -121620*i**2 + 6*y + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -4. Suppose -5*d - s + w + 5 = 0, -d - 5*s = 17. Which is the second smallest value? (a) -0.1 (b) d (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -207?\nAnswer: 11\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652978 to the power of 1\/2, to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11530000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 p, and 1 b when four letters picked without replacement from {w: 1, l: 5, p: 4, b: 4, z: 6}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*n - 2 - 14, 4*n - 128 = -5*x. Let z = 43 - x. Suppose 188*g = 52*g + 9792. Calculate the remainder when g is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2788 + -214. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567635992 is divided by 7161.\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5112420 divided by -30.\nAnswer: 170414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 77. Let j(i) = -121*i + 148. Let f be j(z). What is f rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(51) - (sqrt(306)*-3 - sqrt(306))\/sqrt(6)))\/(1*sqrt(192)*2))**2*6.\nAnswer: 11475\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1229 by 8.\nAnswer: -1229\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95022 is divided by 1827?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 65138845 divided by -4\nAnswer: -65138845\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -4*j**3\/3 + 19. Let k(c) = -2*c**2. Calculate k(q(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 909, 3485, 7779, 13791, 21521, 30969?\n\"Answer: 859*j**2 - j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274230 and 1953270.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 114. Let l = c - -16. Let r = 16 + -9. Calculate the lowest common multiple of l and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 + 338*x\/3 + 4088\/9 = 0 for x.\nAnswer: -4, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4014069373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 22. Let z(d) be the second derivative of -d**2\/2 + d. Let q = 9704 - 9703. Let a(u) = -12. Let c(m) = q*a(m) - 10*z(m). Give 22*c(n) - 2*o(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4174*n**4 + n + 6671 wrt n?\nAnswer: 16696*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**14)\/((x*x\/((((x\/(x**(-3\/5)*x))\/x*x)\/x*x)\/x)*x)\/x))**(-48))**(-41) assuming x is positive.\nAnswer: x**(123984\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8505936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)*3\/1. Let b(n) = -4*n**2 + 1 - 6*n - 4 + 5*n**2 + 0*n**2. Determine b(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 8*f = 4*o + 3168, 782 = -f - 3*o. Let y = 2011 + f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -35*r. Let q(l) = -6*l. What is -25*q(a) + 4*v(a)?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053 less than -2764?\nAnswer: -4817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 425\/4. What is the second biggest value in 0.5, -0.1, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.92 + -52.7. Let j = -26 - h. Let u = 0.06 + j. What is u rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 650 and 1266750.\nAnswer: 16467750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1072076 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 264 = 52*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39703, 79405, 119107?\n\"Answer: 39702*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573) + 0)**2.\nAnswer: 66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 7)*(-1 + 4 - 2)*(-j - 2*j + 5*j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ehhhheehhheeeheehee?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 + 6*m + 10. Let x be q(-5). Suppose -x*c + 88 = -c. What is the remainder when 86 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(2*9\/48)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112416 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*w = -7009, 0*u = 2*u + 3*w + 3509. Let z = u - -5354\/3. Let v = z - 30. Which is the second smallest value? (a) -5 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -3.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 6, -4\/3, 5, -0.01, 1.68 in descending order.\nAnswer: 6, 5, 1.68, 1\/11, -0.01, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(3\/(-9) - 0). Let g be (-6)\/w + 2\/7. Suppose g = 2*t + t - 2*o + 7, 2*t + 4*o - 6 = 0. Put 1, t, 5 in decreasing order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-394)\/4*(1 + 1). Suppose -5*d - 22*d - 1189 = -244. Let k = d - w. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 - 48 - 11 - (0 + 2 + -6 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = 15, -5 = -4*z - 3*s. Let t be (8 - 7) + (1 - -1). Let l = t - z. Solve h + 15 = -3*y, -3*y - 7 - 17 = l*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/68550 and 83\/16071?\nAnswer: 367222350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 76*l - 30. Suppose -4*s = 36*g - 37*g + 28, 2*s + 10 = 0. Is 7 a factor of b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:42 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6279, -12561, -18843, -25125?\n\"Answer: -6282*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 229. Let o be z(59). What is the highest common divisor of o and 1939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/81?\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13267.\nAnswer: 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1987*k**3 + k - 10 wrt k?\nAnswer: -11922*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1333*n - 1295*n - 82 + 83)*(-5*n**2 + n**2 + 6*n**2) in the form m*n + j + p*n**3 + u*n**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 20. Let w = 6 - p. Let t = w - -2. Calculate the least common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.4 - -11. Let r = z - -0.5. Which is the closest to r? (a) -1\/4 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8287 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -564 + 1224. Let r = t - -109. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14 - s + 2*s + 2*s + 0*s. Let k be h(10). Is 0 - 4\/(k\/(-172)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 10:52 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 6 - 14*y - 3 in the form k + s*y and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + j + 0*j)*(0*j**2 + j**2 - 2*j**2) + (8*j + 12*j + 3*j)*(3 - 2*j**2 - 3) to t*j**2 + h*j**3 + p*j + b and give h.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwwenfc. Give prob of sequence nwe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 420 = -26*l. Let c(x) = -x**2 - 13*x + 13. Give c(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, h: 5, k: 7, i: 2}. Give prob of sequence ki.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 4*b**2 - 217*b - 439. Let g be f(-2). Let g - 5\/2*x**2 - 25\/2*x = 0. What is x?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 15*d = -17*d - 6, 4*d - 12 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04139056 rounded to 4 decimal places?\nAnswer: -0.0414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:26 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9464 and 2.81.\nAnswer: 11.089384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t. Let x be f(1). Let z(s) = 3*s + 5. Let u be z(x). Solve 0 = -i + 5*j + u, -4*j - 7 - 18 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1558 - -411?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2588 - -15577\/6. Let o = 6 + s. What is the common denominator of 29\/8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 5 - 4)*(-a + 5 - 5) + a - 2*a + 0*a)*(94 - 70 - 53).\nAnswer: 116*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -0.2 (b) 11 (c) 319\/5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n - 2*n + 3*n)*(n - n - 2*n)*(0*n + 3*n - n) to u + i*n + v*n**2 + w*n**3 and give w.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -n - 1. Let u = n + 83\/9. What is i in 2\/9 - u*i - 2\/9*i**2 + 2\/9*i**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1710*k**3 + 4*k + 3. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 67\/10, 2\/3, -2, 0.2, -18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -5*x - 5*y, 0 = -5*x + 5*y - 10. Which is smaller: x or 5\/97?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-18) - (-2216)\/2493. Let u(t) be the second derivative of 7*t + 5\/6*t**3 + 0 + 1\/2*t**d. What is u(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = x - 7, -3*m = -2*x - 8*m - 14. Suppose x*b = -12, -z + 2*b + 249 = 3*b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-95)\/50 - -1)\/((-6)\/10). Let d(p) be the first derivative of -3*p - 1 + g*p**2. Differentiate d(h) with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 5*f + 6. Suppose -5*o = 4*r + 9 + 34, -2*r = 4*o + 32. Let w = -4 - o. Let i be s(w). Solve i = l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**24*n**22)\/(n\/n**(-13))**33 assuming n is positive.\nAnswer: n**(-415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.914 + -6.151. Let p = b + 11. Round p to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 126, 1774, 6498, 15858, 31414, 54726, 87354, 130858?\n\"Answer: 260*p**3 - 22*p**2 - 106*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 225*m + 1214 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 226 (base 7) to base 4\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/(-32)*12\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -13*d**5\/12 + d**4\/12 + 11*d**3\/3 - 9*d**2 - 3*d. Differentiate q(y) wrt y.\nAnswer: -130*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2 = 4*l, -19*t - 43 = -5*l - 83 + 64 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1422, -4, 4 in increasing order.\nAnswer: -1422, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:58 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -8, 3 in ascending order.\nAnswer: -98, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -4 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-35) + 1478\/(-168) + 9.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3 - 3144*h**2 - 3294912*h - 1151022592 = 0.\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 532*w**3 + 2*w**2 + 5*w + 1. Let v be j(-2). Let o = 37725\/22 + -1714. Find the common denominator of v\/204 - (-4)\/34 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1595\/15 + -3)\/((-12)\/(-18)). Suppose -y*i = -156*i + 4. Calculate the remainder when 144\/15 - (-2)\/5 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/105 - (-22)\/(-77)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d - 2. What is the remainder when a(7) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -788593 from -0.4.\nAnswer: 788592.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00339125 to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-10) - (-17)\/(-170)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:44 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h**4 - 2049*h**3 + 11747*h**2 - 10551*h + 830 = 0. What is h?\nAnswer: 2\/23, 1, 5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 + -100?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*c**2 - 188204*c**3 + 159*c**2 + 155*c**2.\nAnswer: -188204*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(3\/(-2) - -1). Let j be (2 - (-14)\/(-10))\/(7\/35). Suppose j*r = 6*r - 15. Sort 0, r, t.\nAnswer: 0, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1939 and 18152918?\nAnswer: 18152918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -30, 3, 7\/50.\nAnswer: -30, -4, 7\/50, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 931 - 931.5. What is the smallest value in r, 2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2. Suppose 0 = -5*n + 14 + 66. Let p = -13 + n. Let w(m) = -10*m + p*m**2 + 6*m + 4*m. Calculate w(f(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8611*n**2 + 4305*n**2 + 4305*n**2 - 3*n.\nAnswer: -n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 12895332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15 - (-52)\/12. Sort -11, a, 5, 3 in descending order.\nAnswer: 5, a, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -110, -306, -632, -1088, -1674, -2390, -3236?\n\"Answer: -65*r**2 - r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8 - 5. Let x(l) be the second derivative of 13*l**5\/20 + l**2\/2 + l. What are the prime factors of x(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i - 18*i - 284*i = -10*i, 4*b - i = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2905036 and 291044?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17507 and 16933?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156) + (sqrt(2156) - 3*(sqrt(2156) + sqrt(2156)*2)) - sqrt(2156))\/((sqrt(64) + sqrt(64) + sqrt(64)*-3 + sqrt(64))*2 - sqrt(64)).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -83457 less than or equal to -83483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*2\/((-20)\/(-6)). Suppose -3*h - 2*y + 18 = -h, -v*h - 2*y + 22 = 0. Solve 3 + 13 = h*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310316736 divided by -6?\nAnswer: 51719456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*b + 4 = 0, -7*n + 3*n = 4*b + 8. Solve 13*l = -n*l - 12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/2 - 314589*w = 0.\nAnswer: 0, 629178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33743518 < 33743518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {m: 1, v: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-25840)\/(-255)*(2\/(-6))\/(2\/(-9)) and 1577.\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-20))\/(((-3)\/(-1))\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5cb69 - -62?\nAnswer: 5cbcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15451*f**2 - 2*f**3 - 15451*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0, -1849, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 - 1127*c**3\/2 - 345*c**2\/2 + 679*c\/2 - 113\/2 = 0 for c.\nAnswer: -1, 1\/5, 1\/2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 4*l**2 - 4*l - 1. Let s be t(-3). Solve -4 = -2*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2822\/(-18) + (-9)\/(-1 - -4). Let n = q - -160. Factor -2*y**2 - n*y**3 - 6*y - 6.\nAnswer: -2*(y + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.09 - -0.09. Let f = -4 - h. Let m = f - -2. Which is the biggest value? (a) 5\/2 (b) -2\/13 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 + 4120. Suppose 5*a - p = -3*q, 0 = a + 5*q - 47 - 812. Suppose 3*m - 5*t = a, 5*t - 189 = -2*m + 412. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 351285960?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:35 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 144965 divided by -1\nAnswer: -144965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -14 + 0*u**2 + 2\/3*u**3 + 0*u. Let p(y) = -9*y**2 - 5*y**2 - 2*y**2. Determine p(w(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1937, 1887, 1837, 1787, 1737, 1687?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 4\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9 - -8)*2)\/(32\/(-818)). Let k = -51 + t. What is the biggest value in k, -3\/2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920001373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000011000001111110 (base 2) to base 8.\nAnswer: -12030176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - 31 + m + 1 in the form h*m + w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 4132*h - 28875. What is x(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203241432 + -310?\nAnswer: 203241122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**2 - 16*u + 11. Let f(k) = -23*k**2 + 24*k - 17. Let m(v) = 5*f(v) + 8*y(v). Suppose m(h) = 0. What is h?\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 12*c - 66. Suppose -y + 218 = -d + c, -3*y + 636 = -d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 4*h**2. Let m(a) = -a**3 - a**2. Let v be 14\/(-10) - 38\/(-95). What is v*f(y) + 4*m(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 4 = 5*h, -3*u + 14 = 4*h. What is the second derivative of 8184 - 8184 + 61*q - 137*q**h wrt q?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3, -2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 198*j - 48893 = -203*j, -10 = 5*j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeezeezezzee. Give prob of sequence ez.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 - 33*h**2 + 101 wrt h?\nAnswer: -6*h**2 - 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.13 - 0.13. Sort -8\/7, 0, d.\nAnswer: -8\/7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 383 = -10*s - 405, -2*s = 3*c + 22 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 7*u**2 + 6*u + 1. Let m(f) = -7*f**3 - 20*f**2 - 2 - 1 + 7*f**3 - 17*f + 3*f**3. Suppose 0 = 20*q - 24*q + 24. Determine q*m(a) + 17*h(a).\nAnswer: a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**2 - 4*z**2 - 79*z**2)*(-z - 2*z + 2*z) as n*z + w + j*z**3 + i*z**2 and give j.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 24 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9196483.\nAnswer: 83, 179, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d. Let p(m) = 637*m**2 + 130. Let s(n) = -20*n**2 - 4. Let a(r) = -2*p(r) - 65*s(r). What is a(c(y))?\nAnswer: 1664*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 29*b - 31. Let i(l) = -3*l**2 + 15*l + 18. Let v(r) = 11*i(r) + 6*t(r). Factor v(h).\nAnswer: -3*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156765582 a multiple of 3907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 78710*w - 7154320. What is m(-91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54561*t**3 - 187674*t**3 - 259915*t**3 - 218711*t**3.\nAnswer: -720861*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 7, -47, 0.2, 4, -53?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 - 1975*m**4 - 28875*m**3 - 143125*m**2 - 237500*m = 0 for m.\nAnswer: -380, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4617a5 (base 11) to base 13\nAnswer: 1c932c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3948\/752)\/(7\/8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -238 + 242. Suppose 3*v + m*t + 125984 = 0, 2*v - 3*t - 41988 = 3*v. What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1989349 + -4?\nAnswer: 1989345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 = -5*m. Suppose 0 = o + 2*a - 19, 2*o - 4*a + m = 33. Solve 1 = 4*d + o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 14706\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/((-3)\/(-2)). Let l = 5\/7 - q. Let b be 1\/5 - 44\/70. What is the biggest value in -2\/3, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40\/13 - -414\/143. Let t = -0.8 - -0.1. Let r = t + -1.3. What is the second biggest value in r, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 635 or 637?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 12*m + 16. Let q be n(10). What is the fourth biggest value in -1, 0.2, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c - 9?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142635 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhvn when four letters picked without replacement from hvvhhhhvn?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -2 (c) -4\/7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 693, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o - 4532 = -99*o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 + -6?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -391 from -5907758915.\nAnswer: -5907758524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v*(v*v\/v**(-1\/2))\/v)\/v))**3 assuming v is positive.\nAnswer: v**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - 20*x - 103. Is p(-41) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + x - 2 = -u, -1 = -5*u - 2*x. Let s be u + 0 + 1 + 0. Suppose s = -3*n + 2*n + 4. Solve 0*k = -n*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 14*i**2 + 14*i. What is the units digit of m(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let i = -2 + k. Calculate the lowest common multiple of 1 and (-4 + i)*8\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02634 - 0.4.\nAnswer: -0.42634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1151 divide 380176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u + 15. Let h(i) = -2*i + 34. Let o be h(17). Suppose o*a + a = -a. Solve 5*f + 7 + u = a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/7)))**37\/(p\/p**(-4)*p*p**(-4\/7)\/p) assuming p is positive.\nAnswer: p**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/14 + -2)\/((-1536)\/(-140) + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from 0.3421.\nAnswer: -29.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -716*m - 759 + 759 + 368*m**4 wrt m.\nAnswer: 4416*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-12)*f*f)*f*((f*f**(4\/21)*f)\/f)\/f assuming f is positive.\nAnswer: f**(256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1983.\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11425\/3271 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 4 = -4*w. Which is the nearest to w? (a) -5 (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.58.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101946 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 3514 = -1506. Let t = -437 + u. Calculate the highest common divisor of 143 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1512 and 64.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57699 - 13348. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323677 rounded to the nearest 10000?\nAnswer: 2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/(-42)*((-28)\/(-112))\/((-1)\/56*-3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/393960 and 97\/1960.\nAnswer: 393960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(5*n + 4*n - 5*n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*2*-1*sqrt(2) + -3 - ((sqrt(288)*-1)\/(sqrt(900)*-2) + 0).\nAnswer: -4 + 49*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s - 17. Let h be g(5). Suppose 12*z = h*z + 72. Calculate the remainder when z is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 238*s**2 + 28*s**3 - 27*s**3 + 6*s**3 to r + v*s + w*s**3 + g*s**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83241\/308 + 2945\/11. Calculate the common denominator of f and 814\/(-336) + 6\/(-21).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6528928.4 to the nearest one thousand.\nAnswer: -6529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 20*a + 126 = 0. Solve -19*m + a*m = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 12 - 0. Suppose -39 = -3*x - d*o, 0 = 5*x - 0*x - o - 95. What is the greatest common factor of 81 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = l. Suppose -3*z - 2*q = -7, 0 = 5*q - 10*q - 20. Calculate the remainder when z is divided by (l\/10)\/(12\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -2\/3 (b) 184 (c) -3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 177594092 divided by 929812\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Let n be (-1)\/((-3)\/10*950\/(-285)). Which is the third smallest value? (a) n (b) -2\/69 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.04 + -130.96. Let y = -673 - b. Let l = y + 545.11. What is l rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.9051 days in nanoseconds?\nAnswer: 30491000640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021.36 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2451 is divided by 1223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.901884749 rounded to three dps?\nAnswer: -3.902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -5*s**7\/42 - 7*s**6\/3 - 21*s**5\/4 + 220*s**4\/3 - 350*s**3\/3 - 595*s + 1. Determine v so that l(v) = 0.\nAnswer: -10, -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {l: 1, e: 1, p: 5, x: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1232877 or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151829080 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1922148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 1, 0.07?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*c*f*y**2 + 588*c*f*y + 439*c + 8150*f - 70*y**2 with respect to y.\nAnswer: 238*c*f*y + 588*c*f - 140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3493 or 4010?\nAnswer: 3493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + n**2 - 8 - 13 + n - 3*n**2 to i*n**3 + c*n**2 + z*n + h and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u = -6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490, 0.5, -1 in decreasing order.\nAnswer: 0.5, -1, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.51326ng to micrograms.\nAnswer: 0.00351326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -509235 (base 16) to base 4\nAnswer: -110021020311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6295, 12579, 18863, 25147, 31431, 37715?\n\"Answer: 6284*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/7 + 118*w**3\/7 - 3596*w**2\/7 + 6728*w\/7.\nAnswer: -w*(w - 58)**2*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26302 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39465 is divided by 3035?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*v + 48 = 0, 3*v - 61 = -5*f - v. Solve t + f = 3*l - l, 4*t = 4*l - 36 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**3 - 4*n**3 - 32 + 104*n - 103*n - 3*n**3 as t + l*n**2 + r*n + u*n**3 and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 11*x**4\/6 - 497*x + 2. Let k(g) = -3*g - g + 0*g. Determine i(k(f)).\nAnswer: 352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102210123 + 10?\nAnswer: -102210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 38. Calculate the remainder when 20 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*a = 3*q + 7, 0 = -4*q - a + 6. Let j = 0 + -1. Let z = 2 + j. What is the closest to q in 5, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r + 17852 = 15908 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -d3dba (base 15) to base 3\nAnswer: -1021002220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from {p: 1, r: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -30*i - 10. Determine s(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**6 + 155*k**4 + 4*k**2 + 39 wrt k?\nAnswer: 360*k**3 + 3720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = o - 2*a - 4*a, -3*o + a + 7 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94025523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 22*p**2 - 2*p + 20. Let s be v(22). Is (1113\/(-6))\/(12\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + i**2 + 10. Let d(u) = -5*u - 1. Let q(k) = k. Let g(f) = -2*d(f) - 9*q(f). Let o be g(-2). Calculate the remainder when h(o) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004647844567 rounded to 7 dps?\nAnswer: 0.0004648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-16) - -2 - 9\/12. Suppose -x*j + 151 = 2*n, -2*j + 10*n - 6*n + 70 = 0. Which is greater: 32 or j?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-136)\/10)\/(2\/(-5)). Let t = h + -32. Factor -18\/11*v - 30\/11*v**2 - t*v**3 - 4\/11 - 6\/11*v**4.\nAnswer: -2*(v + 1)**3*(3*v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -38. Let k = x + 49. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9, -0.4, -0.5, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l - 99. Let i be n(-16). Suppose 108951 = i*g + 10*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 161*g = -164*g + 51444, 0 = -4*p - 2*g + 41156. Is 30 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 285*i**2 - 121*i - 2987. Let g be a(142). Let r(l) = 6*l + 12. Calculate r(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2778*i**3 - 10*i**2*w - 138*w - 95 wrt i?\nAnswer: -8334*i**2 - 20*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = 40. Let h be (-7)\/14*j\/2. Solve -3*o + 11 = h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 67 = -11*s + 10*s, -100 = -5*o + 2*s. Calculate the least common multiple of o and 1240.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114208*h + 1 - h**2 + 114444*h + h**3 + 0*h**3 to the form i + v*h**2 + c*h + w*h**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 31 + 59. Suppose i = 4*v + 2*j - 42, -72 = -4*v + 5*j. What is the remainder when 53 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 364, -5, -26, -2, -3, 4 in decreasing order.\nAnswer: 364, 161, 4, -2, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 + c**5 - 3*c**2 + 27*c**3 - 13*c**3 - 19*c**3 = 0. What is c?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from wppwpppwww.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -195388933152.08 minus 1?\nAnswer: -195388933153.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -375, -1243, -2925, -5691, -9811?\n\"Answer: -45*h**3 - 2*h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620598203 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*i + 180, 0 = 5*a + 3*i + 9 - 165. Let l = a - 97\/3. What is the nearest to 0 in 0, 0.4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -5141.\nAnswer: -1\/5141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9573970 to the nearest one hundred thousand.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1165*z + 441*z - 381*z + 1219*z.\nAnswer: 2444*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**2 + 19185392*x - 19185388 = 0?\nAnswer: 1, 4796347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 3, -2\/9, 1\/114, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-2)**2 + 0.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1079, 4285, 9541, 16775, 25915, 36889, 49625, 64051?\n\"Answer: -12*n**3 + 1097*n**2 - n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*v**4 + 238*v**4 - v**2 - v + 29*v to t*v**2 + f*v**3 + g + x*v + o*v**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -26*p - 7. Let s be c(-9). Suppose j - r - 66 = -9, -4*j + 5*r + s = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5920*b - 3412*b + 4812*b + 161040 = 0 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*o = -290*o + 98 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 1, f: 1, r: 1, m: 1}. Give prob of sequence am.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/4 - n**3\/3 - n**2 + n. Let d(v) be the first derivative of z(v). Differentiate d(p) with respect to p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -6\/11 (b) 66 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721201 to the power of 1\/2, to the nearest integer?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*n*u - b*n - 75467*b*u - 1284*b - 10*n with respect to u.\nAnswer: b*n - 75467*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1 + (4388\/4 - 1). Let p = -540 + g. List the prime factors of p.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.882876 to 2 dps.\nAnswer: 2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 985360 by -2.\nAnswer: -492680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41\/4 + 689\/68. Is h not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 5123*z**2\/9 - 11344*z\/9 + 252.\nAnswer: -(z - 567)*(z - 2)*(9*z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 16*p + 0 + 0*p**2 + 1\/2*p**3. Let l(g) = 7*g + 1. Determine 5*b(y) - 2*l(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -1113?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (30\/4)\/(633\/1266)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(sqrt(13) + sqrt(78)\/sqrt(6) + -3 + sqrt(13))**2.\nAnswer: -2268 + 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -66*(4\/(-9) - (-8)\/(-36)). What is the highest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -3 - 3 - -155. What is the highest common factor of 66 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 14*j**2 + 11*j + 11. Let c(y) = -4*y**2 + 3*y + 8. Let x be c(4). Let h = x - -36. Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17924, 35853, 53784, 71717, 89652?\nAnswer: 107589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 44, 56, 68?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -14. Let n = 22 + -10. Let h = n + -9. What is the biggest value in b, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -415*c - 307. Let f be q(-28). What is the greatest common divisor of f and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2202 - 2092. Calculate the remainder when g is divided by 91.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12.176 (b) 5 (c) -2 (d) -2\/5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 322 - 11 = -3*w + 153, 4 = o for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(o + o - 3*o)*(-26*o**3 - 98 - 28*o**3 + 60*o**3) as n*o + k*o**3 + g*o**4 + m + i*o**2 and give n.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-5\/4)*n)\/n*n)\/n*n*n**5\/n)\/(n**3*n**(-2\/17))*((n*n**6\/n)\/(n\/n**(-4)))**(-5\/3) assuming n is positive.\nAnswer: n**(-163\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3\/5 + 99035954*j**2\/5 - 39614380*j = 0. Calculate j.\nAnswer: 0, 2, 49517975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - w**3 + 0*w**3 + (13*w + 6*w + 2*w)*(3*w**2 + 2*w - 2*w).\nAnswer: 65*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*r - 2339*r + 769*r + 770*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l**(-6\/7)*l**(-13)\/(l\/((l\/(l\/(l*l**(3\/11)))*l)\/l*l*l)*l))**(1\/2) assuming l is positive.\nAnswer: l**(-969\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 1:55 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*q + 4*g - 3, 3*g - 5 = 2*q. Calculate the remainder when -6*1\/(-4)*2 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 f when four letters picked without replacement from fnffebefbnbfefenefff?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -18\/11, 1\/3, 1037?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 11. Let p be j(13). Suppose -5*f - 40 = 3*q - 4*q, -q + 2*f = -28. Solve -2*i = p*i - q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 376 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7) + -3 - (-3 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 5*p + 21*p + 0*p - 24*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -32*m + 126. Solve -75 = m*q - 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222757707?\nAnswer: 3, 74252569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 71*i**2 - i - 71*i**2 + 4*i - i**4 in the form c + w*i**3 + u*i**2 + g*i**4 + k*i and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 536.5089g?\nAnswer: 536508.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -3205321?\nAnswer: 3205326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 7.97. Let q = -3 - p. Let d = 6.9 - 7. What is the smallest value in d, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/27)\/1)\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 + g - 76. Let x(z) = -5*z**3 + 9*z**2 + 4*z - 304. Determine -9*r(q) + 2*x(q).\nAnswer: -q**3 - q + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -96?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v**3 + 33648*v**2 - 191889*v + 275080 = 0. What is v?\nAnswer: 23\/8, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-4)\/8*-1. Suppose -3*a + 5 = 4*c, 2*c + 3*a + u*a - 1 = 0. Suppose -l + c*l - 2 = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1349, 1, 77, 0.\nAnswer: -1349, -12, 0, 1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -138 - (54 - 210 - -72).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eps. What is prob of sequence pe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3925 + 1288. Let l be (-10)\/(4410\/c) - 6\/1. Let k(p) = -p + 6. Let i be k(6). Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -402407*q**3 + 277418*q**2?\nAnswer: -2414442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:07 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*h - 8*h + 2, -4*h + 4*m - 8 = 0. Suppose 2*b - 4*b = h. Solve -1\/4*c - 1\/2*c**4 + b*c**3 + 1\/4*c**5 + 0 + 1\/2*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065884 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:12 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/16 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26779197121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413131369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z + 165. Let g be s(-28). Suppose -2*c + 278 = -3*f, 3*f = 3*c + f - g. Is c 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 2304 and 70365744?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211551 (base 6) to base 7.\nAnswer: -101236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-49 + -13 + -14 + 17 - -1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1 - 3*a - 3*a + 3*a**2 + 7*a. Let q be d(1). Suppose t + 9 = 4*o, -2*o - 3 - q = -4*t. Solve 0*n = -y + 4*n + 12, -o*y - 3*n = -6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-49)*7)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 12*p + 10. Let z be r(0). Let k(y) be the third derivative of 0 + 1\/27*y**3 + 2\/135*y**5 - z*y**2 - 5\/108*y**4 + 0*y. Solve k(g) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2586\/(-11637)*(-306)\/4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 + 6*z - 1. Let o be r(-6). Suppose o*y - 229*y = -4130. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -362 - -2538\/7. Let p = 502\/9 + -56. Let r = -585.53 + 581.53. Which is the fourth biggest value? (a) 0.3 (b) r (c) s (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 10*z + 14. Let n = 32 - 30. Calculate the lowest common multiple of n and g(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/21924 and 83\/348348.\nAnswer: 3135132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - 1) - (658 - 650)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.553 - 0.453. Which is the second biggest value? (a) 10 (b) 7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*v - 3*a, a = 2*a - 2. Suppose -4*l - r = -v - 42, -4*l + 56 = 4*r. Solve f = 5*i + 7 - l, f = -i + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/415 and 71\/664.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 5*o - 4*o)*(-15695*o + 7801*o + 7781*o) - o + 42 - o**2 - 42 as q + z*o**2 + g*o and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 7. Solve -11 = -5*q + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899772?\nAnswer: 2, 7, 19, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:34 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 45\/2, 0 in decreasing order.\nAnswer: 45\/2, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0055 and 0.03?\nAnswer: 0.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604703010.\nAnswer: 2, 3, 5, 107, 257, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2454168 (base 9) to base 3\nAnswer: -2111211012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 5*k = -18. What are the prime factors of k\/6 + 75\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:28 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 24*k**2 + 24*k - 17. Suppose 3*u = 15, 4*u - 1 + 4 = p. Let r be t(p). Solve -5*l = 16 - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9363049*f*h**3*y - 2*f*h**3 + 10*f*h**2 - f*h + f + 871*h**3 wrt y?\nAnswer: -9363049*f*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3889 is divided by 228?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.3 (b) 19 (c) 3 (d) -16.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-z**3 - 3*z**3 + 8*z**3) + 31*z - z**3 + z**2 - 59 + 59.\nAnswer: 7*z**3 + z**2 + 31*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {w: 4, v: 1, u: 1, k: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:50 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*a**2*d**3*i**2 - 80*a**2*d**3*i + a**2*d*i**2 + 84*a**2*d*i + a**2 + 3*a*d - a*i**2 wrt d.\nAnswer: 756*a**2*d*i**2 - 480*a**2*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - u + 1. Let c be 20\/25 + 38\/(-10). Let h(w) be the second derivative of -w**4\/12 - w**3\/3 + 5*w**2\/2 + 17*w. What is c*j(x) + h(x)?\nAnswer: 2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/336*88\/(-858)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9431*q - 1093994. Give d(-116).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-133)\/(-6))\/(-1) - 280\/(-56) and -5\/177.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5973 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*h + 3*t = 6, 72985*t - 72983*t - 4 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*p - 3669 + 8648 = -6406 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -3 + 45 + 14. Solve 58*h - 15 = d*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 275 = 255. Let w be 84\/18 + t - (-502)\/(-744). Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5149 and 5146 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16905 (base 13) to base 2\nAnswer: 1010100100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32642535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.002 (b) -2 (c) 0 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwb. What is prob of sequence www?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m**25*m)\/m**(-2\/59)*m**19*m**(-2\/37)*m*m assuming m is positive.\nAnswer: m**(111289\/2183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 159.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/4)*i)\/(i*i**(-1\/7))*(i**(-2\/5)*i)\/(i\/((i\/(i*i**0)*i)\/i)) assuming i is positive.\nAnswer: i**(-1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 948 - 945. Let t(a) = 33*a**3 - 2*a**2 + 4*a + 12. What are the prime factors of t(q)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54740 (base 16) to base 8.\nAnswer: -1243500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -44. Suppose 4*p = 5*d + u + 115, -p - 5*d + 48 = 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(8\/5)*c)\/c**(-15\/2))\/((c**(-6)\/c)\/c**(-3\/8)) assuming c is positive.\nAnswer: c**(669\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 204 = 3*f - x, 0 = -f + 2*x + 68. Let i(k) = -k + 7. What is the smallest common multiple of (-2)\/(-7) - f\/(-7) and i(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 6660.\nAnswer: 53280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2 + 3 + sqrt(7) + -4 + -3)**2.\nAnswer: -24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 17*t + 1. Calculate s(2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 144, 176, 212, 252, 296?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((10 + 14 - (-8 - -1)) + -4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 3 + -2 + -1. Suppose d*z = 3*l + z - 39, -4*l + 87 = 3*z. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**8\/28 + 11*k**7\/14 - 89*k**6\/20 - 26*k**5\/5 + 91*k**4\/4 + 49*k**3\/2 - 474*k**2. Find t such that h(t) = 0.\nAnswer: -1, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/12*-1)\/((-15)\/(495\/2))*-2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.795 in 3\/2, -5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 63 = -30. Let d = 26 - g. Let u(f) = -f**2 + 14*f + 19. Let n be u(d). Solve x + n*x = 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 42, 101, 162?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2144 = 189*s - 55*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 3*r**2 + r - 4. Let v(k) = -2*k**2 + 2*k - 2. Let j be v(1). Let g be y(j). Let p(a) = a**2 + 4*a + 1. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3 - 78. Let d be (3\/(-2))\/(6\/(-16)). Suppose l = 4*n - i, -d*n - i - 4*i + 57 = 0. Calculate the lowest common multiple of 6 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 nearest to 0.1 in -3\/7, -1.8, 1.65?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482854 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 15*j + 99. Suppose 36*o + 52*o = 31*o - 285. Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 154 - 7 = 0. Let x = -19 + j. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)*2\/6. Let n = -10 + 15. Let x = 0.635 - 1.135. Which is the second biggest value? (a) n (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 0)*(-13 + 22). Let i be (-9)\/(-15)*100\/y. Let x(n) = -n**2 - 4*n + 2. Let t be x(-4). Which is the nearest to i? (a) -1\/5 (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015539609 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4 (b) 145 (c) -176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 388 = 242. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 66*i**2 + 98*i - 354. Is 47 a factor of c(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.05485 litres in millilitres?\nAnswer: 6054.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) 11 (c) -47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 4. Suppose 7*r - 225 = u*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 + 6*r + 2. What is n(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 58 + 29)*(3 + 3*v - 3 - 2) to t*v + b and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32294\/16147)\/((992\/381)\/4 + (-4)\/6)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198.158 - -198. Let f = -5.642 + i. Round f to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Let h(o) = -3*o + 7. Let d(t) = -t**3 + 27*t**2 - 30*t + 105. Let j be d(26). Determine j*h(m) + 4*w(m).\nAnswer: -7*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 + -117. Which is the closest to -0.09? (a) f (b) -0.2 (c) -2\/23 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c. Let x(u) = -6*u + 13. Let n(l) = l - 3. Let i(b) = 4*n(b) + x(b). What is r(i(k))?\nAnswer: 6*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48\/(-10))\/(1108\/280 - 4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -120928*f - 604695. Give l(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-3)*(0 - (5 + 1)). Let l be (15\/(-30))\/(q\/52). Let c be 20\/6 + (-4)\/(-6) + -1. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 4\/3 (c) 10 (d) -69 (e) 5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 97. Which is the nearest to 1? (a) 0 (b) o (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -38*s + 2293. Determine i(60).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 11890.\nAnswer: 23780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260 divided by 111675.\nAnswer: 84\/7445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(600)*-2)\/sqrt(12)*-4)\/((sqrt(50) + (sqrt(50)*1 + sqrt(50))*-4)\/(sqrt(125)*-2)).\nAnswer: 80*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4881195 and 55?\nAnswer: 4881195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2867, 2\/15 in decreasing order.\nAnswer: 2\/9, 2\/15, -2867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 432*k - 426*k - 118, 5*y + k = 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11220085 to the nearest integer?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51.5 - -52. Which is the nearest to -1? (a) g (b) 0.13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-6)*6441\/(-38). Suppose 2580 = 7*q - r. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, j: 2, k: 10, i: 3}. What is prob of sequence ky?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16464638 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(7) + sqrt(28) + sqrt(7)))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1833897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:20 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -51, -164, -323?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1454 + 124e?\nAnswer: 26a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 7:26 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 11*o**2 - 30*o + 4. Determine c(-13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - g + 8*g + (1 - 6 + 4)*(2*g - 3*g + 3*g) + 15*g - 9*g + 8*g + (4*g + 0*g - 2*g)*(0 - 3 + 2) as l*g + k and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44010?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.18983 (b) -2\/11 (c) -2\/9 (d) 2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9010 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1179072 by -1.\nAnswer: -1179072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 15*y + 518. Let o be t(19). Solve 2*c + 5 = -3*a, -3*a + 80 = 4*c + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30711298, -61422602, -92133906, -122845210, -153556514, -184267818?\n\"Answer: -30711304*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -1.336?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 223211 - 223211 + 4*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 11*m + 429*m**2 - 855*m**2 + 426*m**2 - 2 to the form u*m**2 + h + v*m + p*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -299*n - 1. Let a(g) = 522*g + 1. Calculate 5*a(p) + 9*k(p).\nAnswer: -81*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2197 is divided by 55*((-8)\/(-90))\/((-22)\/(-99))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(117))**2*6*-1.\nAnswer: 5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 + (-1 - (-36)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -85?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4359\/(-630) + (-676)\/(-5070) - 6\/(-21).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 23*d + 24*d - 4)*(0*d**2 + d**2 + d**2)*(10 + 0 + 4) to v + m*d**2 + i*d + u*d**3 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 2*y - 7. What is d(3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.52966 kilometers to meters.\nAnswer: 25529.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-435) + (0 - 0). Let y be (-2)\/(-9) + 170\/(-522). Let p = h - y. What is the biggest value in 2\/9, p, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/301 in -0.11, 1, 3\/2, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*g = 5180, 0*d - 3*g - 5188 = -2*d. Let p be (-4)\/26 - 224\/d. Let q = -0.02 - -1.02. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*v**2 - 500*v**2 + 991*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 3*r - 4. Let m be w(4). Let j = 14 - m. Is (-373)\/j - 1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4392622 + 17.2\nAnswer: -4392604.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*s + 2*i, -i + 4*i = -3*s - 15. What are the prime factors of (-1 + s + 7)*(-1 + 232)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/6 - 3*m**2\/2 - m. Let y = 63 + -68. Give o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1626 + 77*f - 1626)*(-2*f + 4 - 4)*(6*f - 2*f + 5*f) + (5 - 5 - f)*(-f**2 - 4*f + 4*f) + 5*f**3 - 6*f**3 - 2*f**3.\nAnswer: -1388*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -329, -405, -353, -131, 303, 991?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/28)*u**(-3\/5)*(u**(2\/13))**(14\/15))**(8\/3) assuming u is positive.\nAnswer: u**(-4594\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*l**5 + 87*l**2.\nAnswer: -6180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25406630 is divided by 5046.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1173, 1111, 1037, 951, 853?\n\"Answer: -6*r**2 - 44*r + 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:06 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d**2 - 12 + 12)*(-4*d - 2*d + 4*d).\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 7725*x + 19891875\/2.\nAnswer: 3*(x + 2575)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 6*r - 4*r, -5*r = 5. Solve -f*p - 15 = -6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2456 + 5240. Calculate the highest common factor of 96 and i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4254822 and 858?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/112 - (-2 - (-51)\/(-16)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-12) + 4)\/((-1)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -10006*t + 10003*t + 36, -17*t = -4*c + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 21*k**2 - 86*k**2 + 66*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.119984 - -0.12. Round g to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3464498 is divided by 469.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 26 = 0. What is the remainder when z is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.107 and -10255101184097.\nAnswer: -10255101184096.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.3 + 26. Let m = l + -4.81. What is the closest to -1 in m, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3414935 is divided by 1240.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + 5*d**2 - 50 - 3*d + d + d**2 + 0*d**2 - 2*d**2 + (-2*d + 1 - 1)*(3*d + 2*d - 7*d) in the form o + u*d**2 + l*d and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 885 (base 14) to base 16\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-8) + -1)*-4. Suppose -5*q + 0*m + 35 = -3*m, 3*q - 3*m = 27. Find the third derivative of p - p + q*p**2 + 5*p**k wrt p.\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 118786 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: Is 104195 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -20 + 2 + 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - -5 - 1 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 16. Let c(o) = o**v - 4*o**2 + 2*o**2 + 6*o**2. Let g(r) = -4*r**2 - 4*r - 2. Let q(p) = p**2 + 2*p + 1. Let l(t) = g(t) + 2*q(t). Give c(l(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 6 + g - 2*g - 2*g**2. Let h be p(0). Is (-766)\/(-10) - h\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 13*m + 20. Suppose m = 3*n - 0*n. Solve 0 = -n*r - 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - j + 0*j - 3)*(0 - 2*j**2 + 0 + (-2*j - 1 + 1)*(j + 2 - 2) - j**2 + 3 - 3) as a*j**2 + s + m*j**3 + r*j and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2351908836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -6. Let t = 3 + -23. Let r = t - -28. Calculate the highest common divisor of h and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 17. Let z = 444 - 238. Suppose 0 = 2*k - 5*t - z, 2*t + 2*t = -2*k + 224. What is the greatest common factor of n and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 15. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 162*w + 1. Let h(f) = 215*f**2 - 2. What is m(h(x))?\nAnswer: 34830*x**2 - 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*f + m, 770*f = 774*f + 2*m + 34 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25002 + 29194163.21?\nAnswer: 29219165.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 7*q**2 + 3*q + 7. Let b(x) = x**2 + 2*x + 7. Let d be b(0). What is the tens digit of o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 24 = -12*q + 8*q, -2*q - 19*h + 94 = 4*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l - 11. Let w be 1 + 0 - 10\/2. Let r(g) = -5*g - 4. Let d(h) = w*u(h) + 11*r(h). Let p(m) = -4*m**2. Give d(p(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qktuo. What is prob of picking 1 u and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414427749?\nAnswer: 7559, 319411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330*o - 254*o - 43771 = 295*o + 70848 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/22, 2\/7, -11 in increasing order.\nAnswer: -11, -0.05, -1\/22, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5055813353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = -8076*t + 8088*t. Solve 18 = r + l + 24, 5*r = t*l - 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (6 + -4) - -21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 7587*c - 3746702. What is b(-531)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3*s + 41. Let p be q(14). What is the common denominator of 4\/(-4)*(-4 + 894\/p) and 1\/27?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**3\/3 + h**2\/2 - 2*h + 57. Suppose r = 3*r + 4. Determine a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10) - 12\/120*-6) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1031672 divided by 2\nAnswer: -515836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1786, 15017, 50982, 121045, 236570, 408921?\nAnswer: 649462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 52, 2\/27, 1, -30, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {w: 6, s: 7, r: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/7, -1\/8, -3\/10, 0.3, 730?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 + 83*k**5 - 10*k**2 + 9*k + 3 wrt k.\nAnswer: 120*k**3 + 4980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 16. Let l be y(-8). Suppose -4*i - 4 = -w - l*i, 4*w + 4*i = 16. Find the second derivative of -24*c + 46*c + 16*c**w + 5*c**4 wrt c.\nAnswer: 252*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -381 = -379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446 divided by 4.\nAnswer: -223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972 and 23976?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 5*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408) + -1*sqrt(1408) + sqrt(22))\/(sqrt(50)*2)*-4 + -5)**2.\nAnswer: 4*sqrt(11) + 669\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 15*z + 4. Let n be y(-7). Suppose 59*t = n*t. Does 30 divide ((-1165)\/15 + t)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5\/2 - 300*k**4 - 1360362*k**3 - 1359759*k**2 + 2720721*k\/2 + 1360059 = 0.\nAnswer: -857, -1, 1, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -912*l**2 - 902*l**2 + 1811*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(16\/9))**(-36)*(t**(-6\/11)\/t)**42 assuming t is positive.\nAnswer: t**(-1418\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 143104?\nAnswer: -143120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315.6513 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhwpwphdphpwhwd. Give prob of picking 1 d, 1 p, and 1 w.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3 - 944*s + 475*s + 471*s. Let q(v) = -3*v. Determine g(q(m)).\nAnswer: -6*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.0589 + 0.0411. Let k = s + -38.2. What is the nearest to 1 in 7, k, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {r: 2, v: 4, d: 2, f: 8, e: 3, s: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t - 20. Let v be (-6)\/t + 1\/2. Solve 0 = -3*f + k - 4, -5*f - 4 = -4*k - v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*h + 11855 + 19582 = -25963 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 847.2 - 847.6. Which is the closest to u? (a) -1\/3 (b) -2\/3 (c) -7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 8*p**2 + 3*p + 2. Let u be h(8). Suppose u + 4 = r. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*u = -191*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9.8. Let u = -0.7 - b. Suppose -z + 1 = -2*z. Is z > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s - 14. Suppose 0*f + f = -7. What are the prime factors of m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.229136\nAnswer: 0.114568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)\/u**(2\/11)*(u**(2\/7))**(8\/3) assuming u is positive.\nAnswer: u**(200\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91612.\nAnswer: 2, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctg when three letters picked without replacement from {u: 1, t: 3, g: 2, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and (-1 - -16)\/((-561)\/34 + 17).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 0*q**2 + 3*q**2)*(-5207 + 5488 + 3*q - 4*q).\nAnswer: 4*q**3 - 1124*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-42))\/((-11)\/165 - (-91)\/195)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99394379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325964 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -397.1 less than 7?\nAnswer: 404.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 85 = 3*b, -3*j - 2*j + 2*b = -112. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575964507 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/(-630))\/(2\/55) + -2. Factor -b*z**4 + 2\/9*z**3 + 0*z + 0*z**2 + 0 + 2\/9*z**5.\nAnswer: 2*z**3*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -17. Suppose h*m + 10 = 4*m. Suppose z + 0*z - j = 9, -20 = -m*j. Put 4, z, -2 in descending order.\nAnswer: z, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141*b + 4225*b - 298650 = -3889*b for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 10*c**2 - c - 2. What are the prime factors of s(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 418\/61?\nAnswer: 418\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30084786 divided by 6126\nAnswer: 4911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccccttccctc. Give prob of picking 1 t and 1 c.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -26*2*(-21)\/6?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44242 (base 10) in base 7?\nAnswer: 242662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 1. Let t(m) = -2. Let k(a) = 5*q(a) + 4*t(a). Let o(w) = 3*w - 23. Let u be o(9). Let v(l) = l - 2 - 4*l - l. Determine u*v(b) - 3*k(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0*l**2 + 3*l**2)*(-110*l**2 - 715*l**3 + 110*l**2 - 147*l**3 - 27*l**3).\nAnswer: -889*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -v - 3. Suppose 3*p = -p + v. Suppose -4*g + 44 - 12 = 0. What is the greatest common factor of g and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**4 - 7155*p**3 - 14290*p**2 = 0.\nAnswer: -1429, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - (-7 + (-220)\/(-30))*-6. Let i(t) be the second derivative of 0 + q*t**3 + 18*t - 1\/6*t**4 - 4*t**2. Suppose i(v) = 0. Calculate v.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -1, -12359.\nAnswer: -12359, -1, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19339, 38644, 57927, 77188, 96427?\nAnswer: 115644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-8) - 57\/(-380))*5. Let l(z) = -11*z**3 - 9*z**2. Let h(d) be the first derivative of -5*d**4\/4 - 4*d**3\/3 + 1. Determine a*l(c) - 5*h(c).\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 8. Let u(g) = -g**2 + 17. Let c = -8 - -12. Suppose r = -3*d + 8, 9 = -c*r - 3*d - 4. Let l(z) = r*y(z) + 3*u(z). Differentiate l(x) wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + -3*(-1 + sqrt(128)*1) + ((-1 + sqrt(128) - sqrt(128)) + -3)*5))**2.\nAnswer: 9504*sqrt(2) + 14724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + -0.92. Let x = t - -1. Is x greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(286\/11700377)*(1 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8 - 7. What is the greatest common factor of g and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 8*h + 3. Let z = 4 - 14. Let u be (-2)\/z - (1768\/40 - -7). Let l be ((-136)\/u)\/((-2)\/6). What is b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*w + 0*w - 5 = 0, -2*w = -2*k - 2. Let r(z) = 3*z**3 + 24*z**2 - 17*z + 86. Let a be r(-9). Sort a, k, -3, 7 in ascending order.\nAnswer: a, -3, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 - 32*x**2 - 13*x. Let s(y) = 2*y**3 - 16*y**2 - 6*y. Let n(z) = 6*i(z) - 13*s(z). What is the third derivative of n(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 116\/(-1) + (7 - 1) + -3. Let h = i - -206. What are the prime factors of h?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 789 + 753 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 966\/(-26) - (-2)\/13. Let u = 59 + y. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367537584 to the power of 1\/2, to the nearest integer?\nAnswer: 19171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2327765, -2327739, -2327687, -2327603, -2327481, -2327315, -2327099?\nAnswer: -2326827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -773528 to the nearest one thousand.\nAnswer: -774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74\/481 - 5\/65*-17301 is divided by 332.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:29 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 112*c - 640.\nAnswer: -4*(c - 20)*(c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v + 21*v = -507*v - 12810 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22665 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155978 + -100840. List the prime factors of b.\nAnswer: 2, 19, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18679, -18680, -18681?\nAnswer: -18682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**2\/2 + 6*y - 2. Let x be z(-6). Let t(w) = 0*w**3 - 5*w - w**3 + 4*w. What is t(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:33 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-8)*(-20)\/100*30?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z + 4*z + 0*z.\nAnswer: -57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 3, w: 4}. Give prob of picking 1 y and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/376454 and 11\/1872?\nAnswer: 27104688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12938)\/(-2))\/(3\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**3 + 1085*v**2 + 8360*v = 0. What is v?\nAnswer: -209, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.241 - -0.4993. Round c to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 3*b - 1 - 5*b)*(-4*b + 3*b - 3*b) in the form s + u*b**2 + y*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*c + 67082, -5*x - 59 = -84. What is the greatest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - r + 260, 5*i - r - 270 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0578 + -3902879.2.\nAnswer: -3902879.1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 3*l**2 + 17*l - 68. Let d be v(4). Let j = 2 - -2. Suppose 28 = j*f - d. What is the remainder when 42 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/301644*-76)\/((-2)\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61266106 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.15, 29, 0.1, -9?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441443 or 0.2?\nAnswer: -441443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80\/143 or -1?\nAnswer: -80\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/((-3)\/(-60)*-9)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.442 and -0.1?\nAnswer: 0.0442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 0, -0.5, 174, -1\/5, 0.1 in decreasing order.\nAnswer: 174, 79, 0.1, 0, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*j + 20 = 0, -4*j - 28 = 4*a - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 10. Let g = v + -1.3. What is the closest to 1 in 1\/3, g, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 4*l. Suppose l*w + 5*w + 150000 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9153820793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 7 - 1\/6*q**4 + 1\/3*q**2 + 0*q + 0*q**3. Factor c(y).\nAnswer: -2*y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/19 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2. Let v(g) = g**2 + 1. Let d(r) = -6*r**2 - 9. Suppose 4*u - 8 = -2*w, -3*u - u + 3*w = 2. Let o(j) = u*d(j) + 9*v(j). Determine o(n(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26745 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3288)\/(-96) + 49 - 79.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -5*y, 5*y + 10*l - 5*l = 0. Solve -y - 3 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 6 - -3) + 2. Let q be ((-11)\/(-77)*k)\/((-2)\/(-7)). Solve -8*x + q*x = 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5418\/18575 or 0?\nAnswer: -5418\/18575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/88*143\/(-52)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104983\/5 or -20998?\nAnswer: -104983\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112038 and 1065.\nAnswer: 560190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s*s**17)**(1\/3))**26 assuming s is positive.\nAnswer: s**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.2, 0.5, -0.078?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630595 divided by 5?\nAnswer: -326119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 + 4*m + 3. Let h be o(-3). Suppose h = g - 6 - 0. What is the remainder when 11 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppsppptsppppg. Give prob of sequence pt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1 - 2 - 2*w + 1 - 4*w. Let p(s) be the first derivative of -4*s**3\/3 + 2. What is h(p(z))?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t**(3\/2))\/(t*t**1\/t)**(-44))\/(t**3\/t**(-5)*((t*t\/(t*t**(4\/5)*t)*t*t)\/t)\/t**(2\/5)) assuming t is positive.\nAnswer: t**(377\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 451627513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43506 times 0.08?\nAnswer: -3480.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 3 + -1 + 2. Suppose 4*g + 2*p + 3*p - 29 = d, 0 = -2*g - 5*p + 17. Solve -o - g + 1 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/7 - 7*w - 42 = 0 for w.\nAnswer: -42, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -432 - -429. Let c(d) = 7 - 7 - 2*d. What is the lowest common multiple of c(i) and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27155, -22477, -17799, -13121, -8443?\n\"Answer: 4678*m - 31833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2*t**(-1\/8)*t*t*t**(-10)*t**(-9) assuming t is positive.\nAnswer: t**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4 + 96*a**3 - 1226*a**2 + 2172*a - 1040 = 0?\nAnswer: 1, 20, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-1)\/sqrt(10))**2 + ((-5 + sqrt(13) + -2)**2 - sqrt(13)).\nAnswer: -15*sqrt(13) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/3 + 4660*p\/3 - 787776 = 0.\nAnswer: 746, 1584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 3*t + 2. Let p = 13 + -21. Let d = p + 11. Calculate y(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2368 - 2364. Let l be (-1)\/4 + (-11)\/(-4). Let p = -3 + -1. What is the third biggest value in l, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076996 rounded to 3 dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -62. Let f(s) = 2*s + 2. Determine f(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/819 in 0.1, 3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffz when four letters picked without replacement from zzffbxfzzbzfzyzz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.008875.\nAnswer: -0.044375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -150190 and -7.\nAnswer: -150197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*r + 4*n, 2018*n + 3 = r + 2019*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17509 divided by 16787?\nAnswer: 17509\/16787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7542 - -22654\/3. Find p such that 0 + 6*p**5 - n*p**3 - 8*p**2 + 16\/3*p + 10*p**4 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -2\/23 (c) 3\/4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + t - 2. Let y(r) = 23*r**2 + 1. What is the remainder when y(-1) is divided by u(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 569. Let q = l - 83. What is the highest common divisor of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4\/2 + 6999*m**3 + 18084267*m**2\/2 + 2047907400*m + 128422140000 = 0.\nAnswer: -2200, -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 43. Calculate r(51).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -13d?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -246.357.\nAnswer: -246.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + 3*b**2 + 6*b + (-3*b + 4*b + b)*(2*b + 0 + 0) + b**2 + 0*b**2 - 3*b**2 + (2*b - 3*b + 0*b)*(0*b + 3*b - b) as a*b + j + z*b**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1837 and 1.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -780 - -803. Let u(x) = 12*x - 3. Let q be u(7). Let i = q - s. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -20, -2, 20, 66 in increasing order.\nAnswer: -20, -2, 1, 3, 20, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*a - 4*a - 5 = 0, -4*p = 3*a - 25. Solve -p*k = -0*k - 2*h + 12, -h = k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 40*q**3 + 12*q**2 - 112*q - 80.\nAnswer: -4*(q - 10)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3576573 at most -3576572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 1, -8\/581, 2\/359, 4\/5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 5, m: 4}. What is prob of picking 2 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {j: 2, u: 5, l: 1, y: 1, b: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 41. Let t be p(33). Sort 5, t, -4, -1 in increasing order.\nAnswer: t, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 2*g - 131. Let k(q) = -25 + 20*q + 6 - 15 + 8*q**2 - 10*q**2. Let l be k(6). Calculate the greatest common divisor of l and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263979985985.17000112 + -263980122015. Let y = v - -136028.93. Let a = y + 0.9. What is a rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -9, -4 in ascending order.\nAnswer: -9, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645 + 1463 = 26*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26255.\nAnswer: 5, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 7*f**2 - 6*f**2 + (f - 3 + 3)*(0*f - 3*f + 0*f) to i + w*f**2 + u*f and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 472, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 5, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4344\/13 + -334. What is the closest to 0 in -4, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26452796 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1726 - 1090 = 482*w - 5981 + 351 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = -4*s. Suppose -6*v + 183 + 81 = 0. What is the highest common factor of s and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-36)\/(-42) + (-644)\/(-49) and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-99)\/(-6))*33\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -45.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g - 4*q + 8, 3*g = 3*q - 36. Let x = 10 + g. Solve -2 = x*z - 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - ((54 - 42) + 95)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnnnnnngnunuuunnnnu. Give prob of picking 1 n and 2 u.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 29*u**2 - 17*u + 11. Let x(w) = -10*w**2 + 6*w - 4. Let y be ((-1)\/3)\/(1\/12). Let p(n) = y*m(n) - 11*x(n). Find the second derivative of p(l) wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/882)\/((-3)\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, k: 4}. What is prob of picking 2 k and 2 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4554)\/1863*(-18)\/(-8).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 104284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 - -7. Let k = q + 0.1. Let w = 0.3 - 0.2. Which is the closest to -1? (a) k (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.146.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/12 - t**4\/3 + 5*t**3\/2 + 55*t**2. Let y(g) = -g**2 + 6*g. Let r be y(4). Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/((-5)\/(-10700)*-6)*258\/344.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2131020 (base 5) to base 3\nAnswer: -1211220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122946687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 1. Let l(z) be the third derivative of z**5\/30 - z**3\/2 - 113*z**2. Give -8*k(j) + 3*l(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -60223917 not equal to -60223894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + g - 8, -i = -3*i - 4*g + 12. Solve 3*z**3 + z**2 - 2 + i*z - 1 - 5*z + 2*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1379*n**3 - 91*n + 1 wrt n.\nAnswer: 8274*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1081 and 7309528918.\nAnswer: 7309529999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 19834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**3\/5 + 64*m**2\/5 + 256*m\/5 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-22) + 1596\/308. Solve w = -k*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rzmzmrmrmzmzrzmrmm.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:37 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 11. Calculate u(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 + 1364 = 407*i - 285. Let z be (-4)\/(-10) - (-96)\/10. Solve -z*l + i = -9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s + 30. What is t(17)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhqiddmm. What is prob of sequence mm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 + 12*c**2 + 10*c**2 - 3*c**2 - 22*c**2 + 3*c**2.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/2, 0.02, 238.7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (6 - (-1 - -2)). Let n(b) = b**2 - 9*b + 6. Let l be n(8). Put l, 1, x in increasing order.\nAnswer: x, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9267023?\nAnswer: 17, 419, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + b - 2 = 0, -p - 3 - 26 = -6*b - 17 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12922.\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 21*p**5\/5 - 3*p**4\/4 + 2250. Factor f(t).\nAnswer: 3*t**3*(7*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44478605 and 1160.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14.6.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2849, -2906, -2951, -2978, -2981, -2954, -2891?\nAnswer: -2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*j - 28, -25*j + 21 = -20*j - 3*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/24 and -67\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*p - 3 = 0, -4*p - 14 = -2*r - 6*p. Let f be 3\/r + (-1725)\/(-6). Let d(t) = -288 + t + f. Let o(z) = z**2. What is d(o(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689156080 to the power of 1\/3, to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 58*u + 986. Let g be c(-16). Solve 3*r = -5*l + 35, 2*l = -g*r + 63*r - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97073585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Suppose 5*p + 179 = 3*g, 3*p = -g + 2*g - 57. Suppose 64*i - 1 = g*i. Solve -n*s + 3*r = -i, -11 = s + 2*r + r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -15*j**3 + 1810*j**2 + 33735*j - 23290 = 0?\nAnswer: -17, 2\/3, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6969838 months to millennia.\nAnswer: 0.00022474865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -26*g**2 - 14140*g - 70717. Determine c(-5).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -59.3343.\nAnswer: -5.93343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14419590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 7 (b) -5\/6 (c) -5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031009000 rounded to the nearest 1000000?\nAnswer: 1031000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26416098 or 26416113?\nAnswer: 26416113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478 < -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11376?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 5*x + y, -2*y + 52 = -5*x - 0*x. Suppose 2*a + 110 = 5*h - 3*h, -2*a = h + 101. Let f = x - a. What is the highest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-100)\/(-36) + -3 + 20\/9. Solve s*k - 11 = g, 0*k - k = 3*g + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.7 (b) -3\/4 (c) -19\/502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83.981 + -0.019. Let s = -84.1075 - d. Round s to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 12*s + 10. Let m be d(-12). Solve 12*w - m = 10*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/120 - x**5\/60 + 2*x**3 - 3. Let h(a) be the third derivative of u(a). What is the second derivative of h(d) wrt d?\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281 - 1281 + j - 5*j - 3*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17233 <= 17231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 16*k - 42*k + 8*k - 80*k**2.\nAnswer: -80*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135837 divided by 553.\nAnswer: -135837\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Let o = 326510795587\/3596 + -90798329. Let j = -2\/899 + o. Which is the second biggest value? (a) j (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k. Let h be a(2). Suppose -230 + 26 = 12*j. Let b be -2 + j\/(-8) + (-23)\/(-8). Sort h, 4, b in decreasing order.\nAnswer: 4, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g = 39*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 59*z + 30*z - 139*z + 49*z - 1786*z**2 as w + d*z**2 + c*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:51 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 316 - 318. Sort 1, -3, i, 4 in decreasing order.\nAnswer: 4, 1, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6)*(-759)\/1012.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*t + 115628 = 110714 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311102 (base 4) to base 3.\nAnswer: 11200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*k - 3 - 243. Let o be 4\/22 - (22\/121)\/1. Solve s - 5*a - 6 = -19, o = 3*s - k*a + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 5508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a hour in minutes?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1694*z**3 - z - 6. Is c(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12269*k + 12140*k - 387 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*g + 2610, -88 + 78 = 2*g. List the prime factors of l.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.149 - -0.049. What is the third smallest value in 9, -4, v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/7 + 8590*b\/7 + 34392\/7 = 0. What is b?\nAnswer: -4, 4299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*j**3 + 17*i*j - 10*j**2 wrt j?\nAnswer: 18*i*j - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 8*n**2 - 3*n + 2. Let h be v(3). Suppose 0 = -3*k + h + 16. Let d = k + -9. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 bigger than -18163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1723.928975 to the nearest 10.\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(3) - (-3 + sqrt(3))) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252328, 252305, 252282, 252259?\nAnswer: 252236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828302, 828340, 828378, 828416, 828454, 828492?\nAnswer: 828530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055912 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13985, -14445, -14869, -15257, -15609?\n\"Answer: 18*v**2 - 514*v - 13489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24753311 and -2.\nAnswer: 24753309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose -o + 4*q + 12 = -12, p*o = 4*q + 48. What is the units digit of (-84)\/(-16) - 2\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 7 - (-4)\/(12\/(-6)))*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9140 = 9192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 34*i**3\/3 + 10*i**2 - i + 115. Let w be z(-1). Calculate the highest common factor of 299 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 148*w + 7 = -151*w, -4*q = -2*w + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-25))\/(6\/20). Let f be (-3 - -1)*m - -9. Solve -3*h + 0*b = -2*b - f, -5*h - b + 17 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14\/33 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1682835.\nAnswer: 5048505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 331577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 1\/6*a**3 + 1\/12*a**4 + a - 10 + 17\/2*a**2 - 1\/20*a**5. Give y(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**8\/5040 + b**7\/840 - b**6\/360 + b**5\/360 + 5*b**3\/6 - 4*b**2. Let g(m) be the first derivative of j(m). Solve g(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 - 5*z + 3. Let p(n) = 11*n**2 - 4*n + 2. Determine 3*p(s) - 2*w(s).\nAnswer: 13*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18963 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -1.5645. What is f rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 196*g**2 - 19*g + 278. What is the hundreds digit of q(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 347845*a**3 + 86*a - 347844*a**3 + 210*a - 2*a**2 in the form q*a + j + v*a**2 + t*a**3 and give q.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 277\/(-6) + -1 + (-43)\/(-5160)*20?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 9*t**2 + 13*t + 19. Suppose -o = -0*z + 4*z - 17, -z = -o + 12. What is the remainder when a(10) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-18)*(-1254)\/(-836). Which is the third biggest value? (a) 3\/32 (b) 1.6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101111001000110101 - 101100?\nAnswer: -110101111001001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50464234 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 1. Let n be u(-6). Let w = -773 + 771. Let a(l) = -l**2 + 7*l - 4. Let k be a(6). Put w, n, k, 1 in descending order.\nAnswer: n, k, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 169.3, 1\/2, 2\/17 in descending order.\nAnswer: 169.3, 1\/2, 2\/17, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -79, -111, -141, -169, -195, -219?\n\"Answer: i**2 - 37*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229762 - 137583. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.669 and 0.24.\nAnswer: -2.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5760.17 to the nearest one hundred.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 623\/5 - 125. Let c = 2 - 1. Let d = c - 4. What is the smallest value in d, p, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -7*k**5\/60 + 138*k**2 + 4*k - 3. Let b(q) = -320*q**2 + 1. Give o(b(p)).\nAnswer: -716800*p**4 + 4480*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 1*(sqrt(152) - -3*sqrt(152) - sqrt(152)) - sqrt(152) - sqrt(152))\/sqrt(8))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 13*a**2 - 28*a - 22. Let l be i(15). Suppose 0 = -l*q - 40 + 448. What is the greatest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209499 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -876, -5, 74347 in descending order.\nAnswer: 74347, -5, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182031\/9037 - (0 - -19).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135538435 is divided by 7457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1421*g + 9951. Determine q(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 7*x**5\/80 - 5*x**4\/48 - 2*x**3\/3 - x**2\/2 - 13*x. Factor y(r).\nAnswer: (r - 2)*(r + 1)*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -518*n**2\/5 + 516*n\/5 + 2\/5 = 0.\nAnswer: -1\/259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**3 - o**2 - 3*o. Let n(p) = 15*p**2 + 210*p + 3. Let r be n(-14). Let t(c) = -4*c**3 - 2*c**2 - 4*c. Give r*t(u) - 4*i(u).\nAnswer: 8*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/20 - 18*6\/(-28). What is the closest to -5 in 49, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-469 - 29*a + 469).\nAnswer: -87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/12 + 10\/(-60). Let v = 26.134 - 37.134. Put -5, 5, u, v in decreasing order.\nAnswer: 5, u, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278859?\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 32*n - 29*n + 4*s, 0 = -2*n + 5*s - 32 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 - 5 = 0. Suppose 2*v - m*v = -12. Solve b - 8 = -v*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 1686*c - 519 = -1687*c, -32*c + 163 = -3*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/10*16\/(-48)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -113, -170, -227, -284, -341?\n\"Answer: -57*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22444008?\nAnswer: 2, 3, 935167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 45, 134, 299, 564, 953, 1490?\nAnswer: 2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3929 - 3?\nAnswer: -3932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*x - 10*x**2 - 72*x + 121*x.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g = 23*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.0982ml in litres?\nAnswer: 0.4230982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226621?\nAnswer: 226621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(10)*-1 + sqrt(10)))\/((sqrt(6)*-1 - sqrt(6))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56203\/43850 + -3\/1754. Find the common denominator of p and -14\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -1221020?\nAnswer: 1221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -0.85. Let g = 0.05 + w. Is g less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*(15 - (-91)\/(-312)*56).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149427816 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: In base 4, what is -220 + 1201313?\nAnswer: 1201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t + 71*t = -603. Let g = t + -197. Solve 6*p + g = 2*p, 5 = -3*q + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 8*l**2 - 9*l. Let p be t(-6). Let x = p + 26. Let h be (x\/3)\/(6\/9). Solve f + h*a + 11 = 0, -f = -4*f - 2*a - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 + 18 = 0. Calculate the greatest common factor of r and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.093 - 0.407. Let m be (-5)\/1 - (-1 - 0). Which is the smallest value? (a) v (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46794192 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-21)\/(-126))\/((728\/(-48))\/(-13)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Suppose -3*d = m*d - 40. Which is the smallest value? (a) d (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22265.\nAnswer: 5, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 116552 greater than 116550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 35 + (6 - 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 - 2 = n, 2*n - 5*z = 21. Suppose -3*b + 1 = -2*b - x, -n*b = 4*x - 24. Solve -5*j - 1 = b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390 - 382 + 0*f + 1128 - 356 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3, -2, 31, -14?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1642811.\nAnswer: 4\/1642811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**4\/12 + 5*i**3\/6 + 5*i**2\/2 - i. Let p be c(6). Let a = 3 + p. What is the smallest value in 5, -2\/11, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + b + 6 = -2*b, t + b = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/93131 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 362075 (base 8) in base 6?\nAnswer: 2353525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 6 (b) 1 (c) 0.22 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6694810592 to the power of 1\/2, to the nearest integer?\nAnswer: 81822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 944152034 to the nearest integer?\nAnswer: 30727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 15 + -5 - -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -4*b + 25, -3*b - 15 = 18*g - 15*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1138.4 * 12300.\nAnswer: -14002320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -1\/4*r**4 + 0*r + 0 + 3\/20*r**5 - r**3 + 3*r**2 - 1\/120*r**6. What are the prime factors of q(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 3. Calculate the remainder when 28 is divided by r(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -13, 32, -0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84.5 - 84. Let p = 0.4 + -0.4. Which is the nearest to -1? (a) -0.2 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12362362 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r - 1\/3*r**3 + 8\/3 - 2*r**2 + 1\/3*r**4.\nAnswer: (r - 2)**2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 3\/4*m**4 + 0*m**3 + 1\/2*m**6 + 0*m**2 + 6\/5*m**5 + 0*m + 6. Determine k so that j(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*o - 24, 0 = 2*o + 175*w - 171*w - 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 4*b**2 + 159*b + 846. Determine t(-5).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(112) - (sqrt(112) - (sqrt(112) - sqrt(112)*3))*6)\/(sqrt(48)\/(sqrt(36)\/sqrt(3) + sqrt(12)) + sqrt(4) + sqrt(36)*-2).\nAnswer: 68*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-3) + 4*(-40)\/96. Solve -2*z + y = -4*h + 5, -h - z = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/(-250)*5)\/((-26)\/(-5)). Let f be (-1)\/2*2\/(-1). Let u = f + -2. Which is greater: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*n - 55 + 80, -n - 4*j - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -62. Suppose -j = 5*h - 29. Let u = 44 + h. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -71. Suppose 0 = 4*y + 4*f - 146 - x, 3*y - 3*f - 165 = 0. List the prime factors of (4\/1)\/4 + y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52\/5, 1\/8, 0.2, -6 in increasing order.\nAnswer: -6, 1\/8, 0.2, 52\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/18*9\/(-2). Let l = 22 + b. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 4.94. What is the smallest value in -1, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:00 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-1\/5)*i)\/(i*i**(1\/7)*i)*(i*i\/(i\/(i\/((i\/(i*i**(1\/4)))\/i))))**(-20) assuming i is positive.\nAnswer: i**(-2238\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 143.\nAnswer: 71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 91. Let h be (-44)\/117 + k\/(-312). Let l = -29\/6 + 55\/12. Sort h, -7, -0.3, l.\nAnswer: -7, -0.3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtjxyttajdaytytyy. Give prob of sequence yj.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 786674.\nAnswer: -393337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 + 600*g**4 + 2336*g**3 - 64*g**2 - 9408*g - 9344 = 0. Calculate g.\nAnswer: -146, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 305, 620, 937, 1256?\n\"Answer: c**2 + 312*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 778 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (270 + -262).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -331770 divided by 2\nAnswer: -165885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4)*(-4 + 25135))\/((-321)\/214) a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/294*-4)\/2*3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 18*s + 186 = 0. Which is greater: 94 or s?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 5*x, 5*g + 0*x - 2*x - 13 = 0. Let n = 1 - 1. Suppose n = -g*d + 32 - 2. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3957 - -3966. What is the third smallest value in 11, 1, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvovovvzvvvvvzq. What is prob of picking 1 q and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*x + 5. Suppose x*k - 4*k - 16 = 0. What is the first derivative of 5 - k*l + l + 2*l - 3 wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let h = 4\/7 - -16\/21. Let u = 149 + -145. Which is the closest to h? (a) -2\/13 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-14)\/(840\/(-36)) + 1507\/(-110)*3?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -b + 69. Let f = -107 + b. Suppose 5*x = -3*r - 3, 4*x + 2*r - 3*r = 1. Solve f*g + x*g = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175152*r**4 - 118001.\nAnswer: -700608*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**5*a*a))*a*a**(-3\/2))**(1\/8)*a**5\/(a\/a**6)*a\/a**(-1)*(a*a\/a**(-1\/7))\/a assuming a is positive.\nAnswer: a**(1591\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.29 (b) 30 (c) 3 (d) -0.18 (e) 0.3 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -246228 divided by 289\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 3*t**3 + 3*t**3)*(-3*t + t**2 + 3*t) + 3318641 - 4262*t**5 - 3318641.\nAnswer: -4260*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73776 or 959080\/13?\nAnswer: 959080\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1263, 1759, 2587, 3747, 5239, 7063, 9219?\n\"Answer: 166*i**2 - 2*i + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - 3*i**2 + 7*i - 1. Let q(b) = -5*b**3 - 3*b**2 + 6*b - 1. Give 4*q(f) - 3*r(f).\nAnswer: -5*f**3 - 3*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201850059 or 201850063?\nAnswer: 201850059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233\/15 - 5402\/15. Let q = 381 + y. Let -q + 16\/3*o - 4\/3*o**2 = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -20.518?\nAnswer: 2.0518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -398, -432, -476, -530?\n\"Answer: -5*p**2 - 19*p - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 4*o**4 - 2*o**3 + 12*o**2 + 9*o.\nAnswer: o*(o - 3)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 - s**2. Determine q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let v(w) = 92*w - 3. Calculate -3*m(q) + v(q).\nAnswer: 89*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -264, -1085, -1896, -2697, -3488?\n\"Answer: 5*u**2 - 836*u + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15 - (3\/2)\/(3000\/1450).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 316241016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (27 + (-23 - 8))) + -24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 31 = 2*l - 5*l, l + 27 = -4*v. Let r = 9 + v. Factor -2*j**3 - 1\/2 + r*j + 1\/2*j**2.\nAnswer: -(j - 1)*(j + 1)*(4*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = 2*v - 5*v. Let t(g) = 56*g - 353. Calculate the remainder when v is divided by t(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:52 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118884 and 906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**2 - q**2)*(-1 - 3 + 2) + q**2 + 2*q**2 + 0*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*v**3 + 2404*v - 2404*v + (-3 - 15 + 4)*(3*v**3 + v**2 - 2*v**3 + 0*v**2 + 4*v) in the form r*v**3 + t*v**2 + b + w*v and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5296 * 53\nAnswer: 28.0688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:35 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - f + 3 = 0, 2*a + 3*a - 5*f - 45 = 0. Suppose -2*n - 234 = -a*n. Let m = n - 68. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4) - 33\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0487*-0.5\nAnswer: -0.02435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {w: 5, p: 2, b: 8, a: 1, i: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6707 is divided by 3360?\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*((-80)\/100)\/(4\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*h = -37710 + 8560 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(208)*2 - sqrt(208)) + -3 - (1 + (sqrt(156)\/sqrt(3) - sqrt(13) - (3 + sqrt(26)\/sqrt(2)))))**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -16. Let y = f + -11. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 185 = -263. Suppose -3 = 2*l - b*h, -3 = -21*l + 18*l + 2*h. Suppose 9 + 27 = 2*a. What is the least common multiple of a and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(880 + -865) + (-4504)\/(-90).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77609, -310447, -698511, -1241801, -1940317, -2794059?\nAnswer: -3803027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/69564 and -145\/2196.\nAnswer: 12730212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g**2 + 1878*g + 20260. What is i(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 4:42 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - 101?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 1\/3*z**4 + z**2 + 0 - 1\/3*z.\nAnswer: z*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad7 + -5?\nAnswer: ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 60.185?\nAnswer: -48.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 2, -8, -22?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46648 divided by 17\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59669095.9 - -62973275. Let y = p - 3304406.10171. Let w = -227 - y. Round w to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25991078?\nAnswer: 2, 12995539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - t**2 - 8*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrnnnrrwrnnn. What is prob of picking 1 r and 1 n?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -126, -369, -822, -1551, -2622, -4101, -6054?\nAnswer: -8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, t: 2, f: 3, x: 3}. Give prob of picking 2 j.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2252 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t - 35*t + 167*t + 23*t + 2 to the form m*t + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 - 90765*x**2 - 411868875*x + 411959645 = 0. Calculate x.\nAnswer: -9077, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-260 - 3)*7 - -4. Let c = u - -1277. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {v: 2, f: 5, d: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.03, -16.52 in descending order.\nAnswer: 0.03, 0, -16.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11204.\nAnswer: 2, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a + 1. Let x be 2\/(-1) + 1 + 0. Let m be l(x). Let d = 8 - 7. Is d equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*26\/65 + -3. Let g = 81 + -647\/8. Which is the second smallest value? (a) w (b) g (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 1. Let w be (2 - (-6)\/(-4))*-12. Let n be v(w). Suppose 0 = -4*z - 2*h + 18, 5*z - 6 = -n*h + 4. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 69*o + 69*o = 462. Solve -o*g = -54*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*s**3 - 83*s - 108*s**3 + 84*s.\nAnswer: 80*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 112 = 68 - 334. Let s(u) = 2*u**2 - u - 2. Calculate the remainder when s(7) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/2*((-30)\/(-39))\/(2015\/10478)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610903773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5048684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 12*u + 6*u - 10*u as q + g*u and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17025 - 17013. Solve 0 = 4*b - x + 12, -4*x = 8*b - o*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1032403321302?\nAnswer: -1032403321302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -881\/3 or -295?\nAnswer: -881\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 5. Let x(g) be the second derivative of -g**3\/3 - 2*g**2 + 33*g. Give -3*l(t) - 4*x(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 4. Let d be z(-7). Let i be d\/(-6)*-2 + 134. Suppose -3*p - k + 27 = -i, 3*k - 156 = -3*p. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6156 and -53\/171.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllliikllmkirris. Give prob of sequence lil.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - d. Suppose 0 = 3*r + c, -3*r + c - d + 8 = 0. Suppose -6*y + r = -41. What is the greatest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 - -274. Let y = 87 - w. What is the greatest common factor of y and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2 - 25. Let w(l) = -33*l. Determine w(b(y)).\nAnswer: 66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 21, 1\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11221 (base 3) to base 13\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3630 and 18649840?\nAnswer: 615444720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17271 + 17271 + 4089*h**4)*(0 + 3 - 4*h + 3*h).\nAnswer: -4089*h**5 + 12267*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33787216 rounded to three decimal places?\nAnswer: 0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 33*c + 152. Determine p(-25).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = 10*m + 54. Calculate the remainder when m is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 - 1000*p + 22802. Determine n(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/7704 and -139\/901368?\nAnswer: 901368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from zjssmllmjomljmjmmls?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y. Let o(q) = -9*q - 66 - 24 + 101 + q. Calculate o(u(m)).\nAnswer: 32*m + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {l: 3, m: 5, n: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-5))\/((-4)\/50). Suppose 0*y - 4*y + 80 = 4*c, -n = -5*c. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42\/79, -2.6, 3\/4, 2.5 in increasing order.\nAnswer: -2.6, 42\/79, 3\/4, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.5 - -6. Let k = -40 - -40.2. What is the closest to 1 in s, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1972100 and 123950.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -44. What is the remainder when (-122)\/(-10) - (-4)\/j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3.5. Let q = 1 + f. Let v = -45659.8 - -45660.3. What is the second smallest value in -5, v, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 2501*f**6\/10 + 6271*f**2 - f + 334. What is the first derivative of x(n) wrt n?\nAnswer: 30012*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-135997.\nAnswer: -8159.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 0*u + u + u - u - 2*u + (-5 + 6 + 2)*(9*u + 4 - 4) + 2*u - 9*u + 8*u - 2.\nAnswer: 25*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-v - 3*v**5 + v + 3*v**4 - 3*v**4 - v**5 + (-4*v**5 + 0*v**5 + 6*v**5)*(-2 + 1 + 0) - 2*v**5 + 2 - 2).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 6. Give i(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -340d36c + 3?\nAnswer: -340d369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose 18*p + 8*p - 52 = 0. Let k(h) = -2*h**p + 4*h**2 + 0*h**r. Let y(i) = -19*i + 1. Determine k(y(a)).\nAnswer: 722*a**2 - 76*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (1 - -118))\/(189\/6662250). What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a - 126. Calculate s(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37191 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12845 - 0.18245. What is the second smallest value in -4, 1\/11, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2. Let t(n) = -29*n**2 + 15*n**2 + 12*n**2. Give j(t(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6375009*k - 28. Let d be u(-4). Suppose 3*h - o - d = -5*o, 5*h - 42499996 = 2*o. Round h to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774679889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + -5f?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1408377.875 and 0.181.\nAnswer: -1408377.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12334 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/54*-9)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6252 - -6285. What is the smallest common multiple of b and 567?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 446 and 8123221?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 + 481 = 34*q. Let h be 187\/(-34)*q\/22. Let w = 90 - 33. Are w and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {x: 4, a: 2, d: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + ((sqrt(500) + -4 + sqrt(500)*2)*4)**2 + (-3*(sqrt(500)*-2 + sqrt(500))*-1)**2)*-2.\nAnswer: -153512 + 7680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*s - 5. Let u = -1978.1 - -1978. Put 2\/5, s, -1\/6, u in increasing order.\nAnswer: s, -1\/6, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/3 + (-1 - -1). Suppose 0 = -3*z - x + 3. Solve 5*q = 4 + z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h. Let r = 2 + 2. Let c(u) = 2*u**2 - 2*u. Let q(s) = r*c(s) - 7*b(s). Find f such that q(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, 1 in decreasing order.\nAnswer: 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 805313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1308 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000616961982 rounded to six decimal places?\nAnswer: 0.000617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1037\/164 + 38\/41. Find the common denominator of v and 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:02 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = 3*s, -3*h + 4 = -0*h + 2*s. Suppose 5*q - 23 = -r, r + 4*r + 1 = h*q. Is (-1 - -4)*1954\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 154\/9 (b) -132 (c) -4\/7 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -71*y**7\/105 - 401*y**3\/6 - 88*y**2 - 2. Differentiate f(g) with respect to g.\nAnswer: -568*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 0 - -15 - 5) + (9 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-9)\/((-36)\/(-16)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -170. Suppose -5*c = -5*f - 298 + 663, -3*f + 237 = -5*c. Calculate the remainder when f is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Is 60*z\/4 + -5 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u + 8 + 2802*u + 16 - 24.\nAnswer: 2849*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.06\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1080.6 + -1079. Which is the nearest to 1? (a) 0.3 (b) -4 (c) -1\/5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804664808 to the power of 1\/2, to the nearest integer?\nAnswer: 28367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1)*(-15)\/(-6). Suppose c - s = -c. Let q(v) = v**3 - v**2 + 2. Let z be q(3). Calculate the greatest common divisor of c and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 840, 1434, 3010, 6042, 11004?\n\"Answer: 79*f**3 + 17*f**2 - 10*f + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42227917 to the nearest integer?\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9 and 10\/87?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-460274\nAnswer: -46027.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86.14 - 85. Let r = d - -3.86. What is the second biggest value in -0.4, -1\/3, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyf. Give prob of picking 3 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 15 - 14 - j**2 + j**2 - j. Let t(k) = k**3 - k + 1. Give -s(p) + t(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/9*(-16098)\/24. Let y(z) = 298*z**2 - z. Let i be y(1). Let c = p - i. What is the common denominator of -37\/9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70\/(-7))\/5 - -2. Solve j = 2*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-2)*60\/(-35). Let g be (1 + v\/20)*1. Which is the closest to g? (a) 5 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1106 - -1106.8. Let m be 4\/14 - 20\/21. What is the third smallest value in b, 0.3, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12420416*z + 20763118.\nAnswer: 12420416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {c: 4, r: 5, t: 5, p: 3, s: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from oznznrmrrz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2)*(-2)\/(-4). Suppose s = -0*r - r. Does 3 divide r - ((-4)\/2 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -3, 1, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 5*v - 18, 3*g - v - 1 = 0. Let k be 144\/(-576)*-2*(-4)\/g. Solve -2*s = k*i + 12, 4*s + 0*i = -i - 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n**3 - 5*n + 6. Let a(r) = r - 2. Let w be a(6). Let o(m) = -14*m**3 - 4*m + 5. Let l(p) = w*d(p) - 5*o(p). Does 11 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**5\/20 + m**2. Let v(u) = 2*u**2 + 0*u**2 + 4*u**2 - 3*u**2. Determine f(v(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**10)**(-17) assuming d is positive.\nAnswer: d**(-221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {e: 8, v: 1, k: 1, d: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s**3)*(2 - 2 - 2*s) - 4*s**4 - 7*s**4 - 3*s**4.\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:23 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*n - i - 13, -6 = -n + 2*i. Let r = 2.5 + -3. Which is the nearest to -1? (a) 5 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4*y + 109650*v**3 + 2*v**2*y**2 - 8*v*y**2 + v - 20070*y**2 + y wrt v.\nAnswer: 12*v**2*y + 657900*v + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*f - 4 = 0, 131*b - 127*b = -f + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -304 + 180. Let w = d - -126. Find the second derivative of -13*p - 98*p**2 + 22*p**w + 27*p**2 wrt p.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*i**3 - 2*c*q + 7*c + 141423379*i*q + 70*q - 6953 with respect to i.\nAnswer: 3*c*i**2 + 141423379*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -130, -3, 1\/4, 5.\nAnswer: -130, -3, -0.5, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261 - -296. Let b = d + -25.99. What is b rounded to one dp?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-44)*16\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102.74 - 4.26. What is the nearest to 1 in p, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(540)\/(sqrt(48)\/sqrt(4)*-5).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 1380, -5 in increasing order.\nAnswer: -5, 3\/8, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**3 + l**2 - 2*l + 1. Let p = -7 - -8. Let n be g(p). Suppose 0 = -3*a + n*a - 16. Solve a*v + 2 = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -109, -163, -217, -271, -325?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - m**2 - 7*m - 30. Let c be d(0). Which is smaller: -23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201010 - 22012102?\nAnswer: -22220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -121*s + 5. What is the tens digit of h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10438 and 69689.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110023233 (base 4) in base 7?\nAnswer: -463011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/6*18\/108*-18)\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/2*4\/6 - -117?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {q: 12, u: 1, v: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 137138064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4401231 + -15?\nAnswer: 4401212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 2658.\nAnswer: 2658.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 18*z**2 + 48*z - 7. Let g be p(-3). Solve g*o = 2*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -630 * 21\nAnswer: -13230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 3) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -302652 (b) -1.8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecczjvozo. Give prob of picking 2 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1 + 3*p**2 + 2 + 2*p + 1. Let d(j) = -j**3 - 2*j**2 - 11*j - 17. Let o be d(-2). Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 2*z = 28*p + 12, -5*p + 2*z - 17 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*q = -59, -2*m + 107 = q - 6*q. Let s be 16\/m - (-12)\/7. Factor 4*f**2 + 2*f**s - f**2 - 5*f**4.\nAnswer: -5*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22760 and -1.\nAnswer: -22761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -0.044530474.\nAnswer: 0.255469526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 17*f - 24 = 0. Solve 2*u - f = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 7:24 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*((-4)\/(-26))\/2)\/(42\/63).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - p = r, 2*r + 8 = p. Let c(a) = -a. Let v(h) = -5*h. Suppose 0 = 8*k - 3*k. Suppose k*f = -5*f + 55. Determine f*c(u) + r*v(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -134765 divided by -65\nAnswer: 26953\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s + 101 + 75 = 0. What is the least common multiple of 84 and s\/(-22) - (-2940)\/165?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900)*2 + -2)*-2*5 - (1 + (sqrt(1900) + 2)*-3 + 0).\nAnswer: -270*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2228*w - 2858. What is the ten thousands digit of i(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 64*w = -18*w + 561 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 34*o**2 - 7*o - 113. Let t be q(-34). Let s = t + 642. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292 and 194572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-27)\/24*4)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 24 = -16*c. Let r(f) = -f + 1. Let p be r(c). Put 8, 1, p, -5 in decreasing order.\nAnswer: 8, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013 = -12*b + 362*b - 6913 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 9*r - 5. What is the units digit of g(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*39.4\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 4729 + 4729.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109762 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-27)*(-393)\/(-68120)*-40.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26041*-0.5\nAnswer: -13020.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3103463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69744 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 3\/2*k**4 + 0*k + 7\/6*k**3 - 3*k**2 + 0. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/(-15) + 2\/3. Sort 0, -11, -3, s in decreasing order.\nAnswer: s, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 1476620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797.65749 rounded to 1 dp?\nAnswer: 1797.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7.1. What is the second biggest value in s, -2\/3, 6\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)\/d**(-6))**(3\/8) assuming d is positive.\nAnswer: d**(87\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-15)*1\/((-4)\/(-9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23599 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 4)*(-6*j + j + j)*(2 - j + 0*j - 4) to n*j + i*j**2 + a and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, f: 4, s: 2}. What is prob of picking 1 f and 3 i?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/7 - 27*y\/7 + 6996\/7.\nAnswer: -3*(y - 44)*(y + 53)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 15) in base 7?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 242*n**3 - 12 - 10.\nAnswer: 242*n**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2 + 9\/8*b**4 + 15\/2*b + 87\/8*b**2 + 6*b**3 = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2. Let f(p) be the second derivative of -p**6\/90 - 2*p**3\/3 + 6*p. Let n(q) be the second derivative of f(q). Determine s(n(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-18)\/(-30) + (-97)\/(-5) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and 17\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/2*(-2 - -3). Differentiate o - 5*f**4 - 3*f**4 - 17 wrt f.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114051559?\nAnswer: 3823, 29833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 - -2.87. Let u = -14.7 + 15.7. What is the fourth smallest value in j, u, -1\/3, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*x**2 + 45*x**2 - 72*x**2 to w + q*x + n*x**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 32*d = 34*d + 7, -a - 9 = -3*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let d be c(-4). Let z = -32 + 23. Let h = z - d. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -20, -5*o + b + 2*b + 2463 = 0. Suppose -9*k + o = -6*k. Suppose -4*x + k = -239. What are the prime factors of x?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12973 less than or equal to 12973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24745 * 0.11239\nAnswer: 2781.09055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 110376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 + -63. Suppose 3*k + 19 - v = 0. Is -3 - 10\/(-4) - 1546\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-100)*4*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003994168 to 6 dps.\nAnswer: 0.003994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -316214 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53412972 is divided by 445108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 132. Is (n\/(-8))\/(2\/40) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(704) + sqrt(704))**2*-6 - (-2 + sqrt(704))*6)*-5.\nAnswer: 240*sqrt(11) + 84420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/5 - 4\/5. Let k be 8\/44 + 6\/88. Are k and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.08588663.\nAnswer: 0.17177326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**4 + 2*f**3 - 7 + 20 - 14 + 2*f to the form n*f + b*f**3 + l*f**2 + q + x*f**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0*c + 0*c - c**2 + c**2 + 3*c - 3*c + (0*c + 3*c - c)*(-5*c + 3*c + 0*c))*(11 + 8 + 16).\nAnswer: -280*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22*3\/(-6)*-1. Suppose 2*i - 43 = -x. Let p be ((-12)\/i)\/((-1)\/48). Solve -7 = 5*q + f, -11 = -5*q + 5*f - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*180\/(-5355)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzmimmzmmzmmz. What is prob of sequence mmm?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-10))\/(-3))\/(42\/(-420)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 135.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 6. List the prime factors of t + (37 - 1)\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*j - 47. Let d = j - 7. Suppose -r = -4 - d. Solve 3*v - 6 = 0, 2*a - 4*v - r = -23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7. Let r(g) = -2*g - 14. Let s(h) = -2*i(h) - r(h). Let c(p) = -605*p. Determine s(c(t)).\nAnswer: -1210*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -10, -41 in descending order.\nAnswer: 1, -3, -10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -95, -121, -127, -107?\n\"Answer: a**3 + a**2 - 50*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 11*b**2 - 17*b - 10. Let z be f(12). Let l = z + 70. Suppose -d = p + 7, l*p + 3*d = -5*p - 31. Put p, -4, 0, 3 in decreasing order.\nAnswer: 3, 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 - 3*n. Is h(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k - 3. Let q = 39 - -3. Let t = -11 + 1. Let d be (-4)\/20 - q\/t. Give s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -32209*v + 1. Let h(p) = p. Give h(s(f)).\nAnswer: -32209*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 2:53 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 147 - 5. Let x = -38 - p. Suppose -2*y + 3*y = x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 154499018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280449 is divided by 210?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 47 = 3*d + 5, 8*u - 6*d + 2*d = -3*u + 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/720 + g**5\/120 + g**4\/8 - 8*g**2. Let f(v) be the second derivative of m(v). Let t(s) = -1. What is f(p) + t(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100102000 (base 4) in base 16?\nAnswer: 10480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 12*b - 37 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**7\/3780 - c**6\/1080 - 7*c**4\/24 + 4*c**2. Let z(n) be the second derivative of k(n). Solve z(f) = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w)*(-3 + 3 + w) - 2*w**2 - w**2 + 2*w**2 + 3*w - 7*w + 8*w**2 + 3*w.\nAnswer: 5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 7) in base 4?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjplxxplpappxxjlp. What is prob of picking 1 p, 1 a, and 1 j?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195494179*v**2 - 418629909*v.\nAnswer: -390988358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 - 6*x**2 + 10*x. What is d(3)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-1*-6 - sqrt(132) - sqrt(132))*2)\/((sqrt(120) - (3*sqrt(120) + sqrt(120))*-6)\/sqrt(10)).\nAnswer: -14*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025, 9002, 23935, 45824, 74669, 110470?\nAnswer: 153227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqqqyqiqqqalyalll. What is prob of sequence ya?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 407*j**6\/30 - 447*j**2\/2 - 23*j - 4. Find the first derivative of z(a) wrt a.\nAnswer: 1628*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275511 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/87021 and 88\/55377.\nAnswer: 609147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511585241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87761\/14103 + -1\/1567. Let k = -131\/112 - -3287\/6832. What is the common denominator of k and x?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93624393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -44\/291087 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 2. Let o(c) = -13*c + 6. Let h(v) = 53*v - 25. Let m(f) = 2*h(f) + 9*o(f). Determine 6*m(b) + 13*z(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*v - 2. Let f be (-34)\/(-4) - (-3 + v). Suppose 3621 = 6*k + 3555. Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l**2 - 8*l + 11. Let d(g) = 15*g**2 - 17*g + 23. Let c(w) = 13*b(w) - 6*d(w). Suppose 0 = -q - 0 + 5. What are the prime factors of c(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 + 40 - 31)*(3*c - 3*c + 2*c**2) - 3*c**2 + 6*c**2 - 2*c**2 + 1 - 1 + 5*c**2 in the form a + q*c + m*c**2 and give m.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 18531*i + 848187. Determine p(46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5085 by -1078.\nAnswer: 5085\/1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 40. Suppose v*z = -2*i + 172, 3*z + z - 2*i - 350 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2839574 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*r = 3*r - 14, 4*j = -4*r - 24. Let a be (2 - 3 - 3) + j. Let u = a - -14. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - ((440 - 433) + (1 - 28)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 80 = -52. Solve -d - 4*s - 8 = -2*s, -o = -d + 4*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47953 and 319282?\nAnswer: 25223278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119233994753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194814 and 38236.\nAnswer: 47144988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737*u - 698*u = -498147. Round u to the nearest 100.\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) + 0 - sqrt(300))*4 + 5*((sqrt(300)*2 - sqrt(300)) + -4))**2.\nAnswer: -2000*sqrt(3) + 7900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y**2 - 7*y**5 - 2831 - 2*y - 249 - 193*y**2 wrt y.\nAnswer: -140*y**3 - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 - 3500\/17. Let i = 1 - 1. Is i < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rje. What is prob of picking 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2. Let x(g) = -7*g + 6. Let a(u) = 6*u - 5. Let z(v) = -6*a(v) - 5*x(v). Let y(r) = 8*r. Let k(d) = -6*y(d) - 51*z(d). Determine c(k(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14519212.71 to the nearest one hundred thousand.\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-6)*(-6 - (-120)\/32). Let c be 4\/2 - (-5 - -9 - x). Suppose -c*f = -0*f - 4, 563 = 5*j + 3*f. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*4 + (-1 - -4). Let w = h - 16. Calculate the remainder when 30 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4\/7 - 24*v**3\/7 + 57*v**2\/7 - 30*v\/7.\nAnswer: -3*v*(v - 1)**2*(v + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(304) + -2) + -1*(sqrt(304) + sqrt(304)*-2 - sqrt(304)))**2 + (sqrt(304)*1 + sqrt(304) + -1)*-3.\nAnswer: -24*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/(-133 - 2)). Suppose -2*v - 3*y = -5 - 10, 3*v + 5*y = 22. Calculate the highest common divisor of v and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 192*p + 42830. What is z(-223)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*11\/66)\/(1\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3265932 divided by -1\nAnswer: 3265932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2703 (c) 1\/3 (d) -1.23 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*f*f**1*(f\/(f\/(f*f**(-1\/4)\/f)))\/f*f**(-1) assuming f is positive.\nAnswer: f**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 2. Let p be c(2). Suppose 0 = 3*f + p*j - 4, 2*f + 2*j - 6 = -2*f. What is the derivative of -5*h**2 - 2 + 2*h**f + 4*h**2 wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.3912 to one dp.\nAnswer: 96.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(200) + sqrt(200))*1)**2 - sqrt(162)*-1*-2.\nAnswer: -18*sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 89.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) - (-17 + (-777)\/(-42))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 + 149 - (-3 + (4 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {x: 3, d: 3, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20721860*i**2*u**2 + i**2 + 896*i - 3953 wrt u?\nAnswer: 41443720*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-1) + 308124 + 156 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5307*p - 42919. What is z(-8)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/15 + x**4\/8 + x**3\/6 - 12*x**2. Determine a, given that u(a) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from ccctnncctncnn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 8*f + 19. Let n be l(5). Let g(o) = 2*o - 4*o + 0*o - n*o. Let h(w) = -2*w**2. What is h(g(x))?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -29 = 0.8780394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -169910 rounded to the nearest one thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8880082 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -885686*r**2 + 611*r + 877281*r**2 - 2251*r - 80.\nAnswer: -5*(41*r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7374 and 68184?\nAnswer: 83798136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12752*s = 12780*s - 69 + 489 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -627947 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i = -103*i + 323*i - 3267 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.951 + -0.009. Let y = 0.04 - f. Let j = 191 - 190. Which is the closest to 0.5? (a) j (b) 4\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -21*x**2. Let n(s) = -7*s. Give f(n(i)).\nAnswer: -1029*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 + 1709 - 11785 - 10041 = 222*n for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314565 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 2. Let l be i(-1). Suppose 4*v - l*v = 9. Let p be (2\/4)\/(16\/192) + 0. Solve -v = -p*b + 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*x = 72. Let g be -4 + x*4\/(-8). What is the third derivative of 17*k**2 + 74*k**5 - 151*k**g + 72*k**5 wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -20. Suppose 9*l = 143 + 28. Suppose l - i = 4*w. Is 2 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:49 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x - 69. Give v(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-310*z + 310*z + 193*z**3)*(-2 - 1 + 5) - 6*z**3 + 0*z**3 - 2*z**3.\nAnswer: 378*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-48)*-1)\/((-4)\/36)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*w + 2016*w - 435*w.\nAnswer: 1926*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 9*n - 32. What is the remainder when 58 is divided by u(13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3045141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 960 = -3660. List the prime factors of (-72)\/(-10)*(-10 + x)*1.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.87 - -25. Let k = v + -0.1299997. Round k to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n**2 - 41*n**2 + 10*n**3 + 2*n**4 + 16*n**2 as k*n + m*n**3 + a + v*n**4 + g*n**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 3*p - 7*p)*(-p + 0*p + 0*p)*(-2*p**2 - 2*p**2 + 2*p**2) + 4*p**4 - p**4 - 2*p**4.\nAnswer: -21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 39*z**3 + 26*z**2 - 26. Let g(a) be the first derivative of a**4\/4 + a**3\/3 - a - 228. What is 26*g(c) - o(c)?\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*b + 1047 = -245 - 2432 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = 4*i - 1, -c - 2*i + 6 = 0. Solve 0 = -3*q - c*x - 20, -4*x - x + 10 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -7 (b) -3 (c) 2009 (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(114)*-3 + sqrt(114) + (sqrt(114) - sqrt(114)*-1)*5)\/(sqrt(24)\/sqrt(4)*4 + sqrt(384)\/sqrt(4)).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**2 - 4*q - 2*q**2 - 186 + 184 in the form w*q + r*q**2 + a and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*-2*sqrt(468))**2 + (-2*3*(sqrt(832) + -3))**2.\nAnswer: -1728*sqrt(13) + 60232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 = -236*x - 204*x + 698*x - 191*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 + 9*a + 4. Let j be g(-6). Let t = j + 426. Let o be (-6)\/15 - t\/(-10). Solve u + 3*u = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001109048 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(5\/2)*h*h**19\/h*h)**(-26) assuming h is positive.\nAnswer: h**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ess when three letters picked without replacement from sssseee?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71032 and 3224.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 62 + 89. What is the smallest common multiple of r and 106?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30944 and 1335427.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 55*v**2 + 118*v - 231. Determine i(57).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = 0. Suppose 5*c - 4*q + 8 = -5*q, -2*q - 6 = v. Is c smaller than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/6)\/((-2)\/3). Suppose 26 = -d*j - 14. Let i = 39 + j. What is the remainder when 59 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-150)\/(-30) - (-129 + 0) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (-13 + 31) - -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**4 + 4*l**4 + 5*l**4 + 3 + 2*l**4 + l to b + y*l + i*l**3 + q*l**2 + z*l**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkofbofofifzf. What is prob of picking 1 z and 1 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -46246, -1, 4, -2 in decreasing order.\nAnswer: 4, -1, -2, -46246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 - o - 4. Let r be h(-4). Let d(m) = m**3 - 45*m**2 - 4*m + 182. Let u be d(45). What is the highest common divisor of r and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2. Let n(r) = 124*r - 229*r + 147*r. What is i(n(v))?\nAnswer: -7056*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 2*k - 2*k**3 + 2\/5*k**5 + 0 + 0*k**4 + 0*k**2. 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: Let f(g) = 3*g**2 - 2*g. Let h(z) = 13*z**2 - 9*z. Let p be 40\/18 - 24\/108. Give p*h(x) - 9*f(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 64*a = 55*a + 86 - 212 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6486 or -34896?\nAnswer: -34896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*14.75\nAnswer: 1.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 344819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x + 5. Let b be w(-2). What is the closest to b in -1, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 105. What is the remainder when 18 is divided by (j\/(-2))\/((-2)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 15 - 3. Suppose 5*h = r*h + 10*h. Solve h*s - 5*s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/15)\/((-570)\/1425))\/(51\/2).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2342320 or 2342321?\nAnswer: 2342320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 916 + -886.4. Let l = i - 137.6. Sort l, 4, 3.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 - (2 + (-13 - 1)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmmmbmmbmbmbmbmmmm. What is prob of picking 2 b and 1 m?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12581639*d**3*h**2*r - 2*d**2*r + 4*d*h**2 - 115*d*h*r + 82*h*r wrt d.\nAnswer: -75489834*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 2. Let y = 33 - 133\/4. Let p = 0.2 - -0.3. Which is the smallest value? (a) r (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 12\/98737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvua when four letters picked without replacement from vacuuuuavavajza.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -1\/24*w**4 + 8\/3*w**3 - 25*w**2 + 0*w + 0. What is d(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.22 - 57.22. Sort s, -4, 117\/11, 1 in descending order.\nAnswer: 117\/11, s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -8*z - 8721. Let i = z - 1648. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*7\/903)\/((-15)\/526). Let c = 58\/43 + i. Let 2\/15*a**2 + 2\/5 - c*a = 0. Calculate a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2419841297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 3:52 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7552*g**3 - 1414*g*p**3 + 4101157*p**3 wrt g.\nAnswer: -22656*g**2 - 1414*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 5, m: 2, y: 1, z: 2, j: 1}. Give prob of picking 1 m, 1 g, and 1 l.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96025785*o**3 + 68056871*o wrt o?\nAnswer: -576154710*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23348 and 5954.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 15 = h. Let u(c) = c**3 - 6*c**2 + 5*c + 2. Let k be u(h). Solve 5*l + 4 = 3*t - 3, -6 = -k*l - t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + i + 36 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**4 + c**3 - 2*c**2 - c. Let w(v) = -8*v**4 + 4*v**3 - 24*v**2 + 23*v + 32. Let r(u) = -2*w(u) + 18*z(u). Factor r(i).\nAnswer: -2*(i - 4)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -483 - -757. Suppose -4*v + 3*b - 340 = 0, 2*b - 4*b = 2*v + 170. Let g = v + w. What is the highest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11745 divided by 1.\nAnswer: 11745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 + 90 - (-4 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*v = 3*k - 1356, -6738 = -5*k - 4*v. Suppose -2*f + k = -3*f. Let y be f\/(-198) - (-2)\/11. Solve y*s + 4 = 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = 30*m + 201 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.13 + -0.13. Suppose -s + 20 = 5*h - 5, h - 2*s + 6 = 0. Let v be ((-6)\/52)\/((-3)\/h). What is the second biggest value in g, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55\/7 - 2131\/273. Which is the smallest value? (a) -2 (b) -5 (c) p (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**4\/12 - c**2. Let b(a) be the third derivative of a**4\/24 + 10*a**2. What is b(p(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423811629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v + 6 = 0. Which is smaller: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**3))\/(s*s**(-2\/5))*s*s**(-2\/11)*s*s**(-2\/5) assuming s is positive.\nAnswer: s**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2473 divided by 2473\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1262828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101\/7 - -2803\/154. Find the common denominator of s and -13\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130 + 125)*((-56)\/50 + 1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1298 (b) -2\/3 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 64. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -587\/906 - -67\/453. Let q = 2119\/9 + -235. Which is the nearest to -2? (a) q (b) k (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = l - 0*l, 3*l - 4*h = -6. Let t be (-4 - l) + 1 - 50. Let r = 95 + t. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/6 - (-2)\/6. Suppose -42 = -3*o - 6. Let l be (o\/10)\/(32\/20). Do l and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*u + 284*u - 4268080 = 0. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 5*p - w, -86 = 4*p + w + 47. Let l be 20\/90 - p\/9. Suppose -65 = -4*z - 2*i + 143, 0 = -l*z + 2*i + 216. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1878\/54 + 4\/18. Let n be 4 + 5 + ((-28)\/4 - -3). Calculate the highest common divisor of n and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18388136?\nAnswer: 2, 13, 176809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g - 5. What are the prime factors of g\/((0 - (-1)\/34)*-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times 0.7605935?\nAnswer: 0.159724635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/5)\/((-13)\/(520\/(-16))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0 + 0 + 2457. Suppose -h + 1500 = 3*k, h - b = k - 959. Round h to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -35 + 297*x**2 + 17 - 2*x + 13. Is h(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137207*u**4 + 23*u**2*x + 5531876*x wrt u.\nAnswer: -548828*u**3 + 46*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 8*q**2\/11 - 3800914*q\/11 + 16153740\/11 = 0.\nAnswer: 17\/4, 475110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 4*p**4 + (p**4 - 1 + 1)*(9 - 1 - 1).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - (-1739)\/4. Suppose -7*w - y + 183 = 0. Let t = 42 + w. What is the remainder when 10 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-126)\/36)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186808548221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**2 - 113*c + 40. Let m be r(-19). Solve 27*v - 12 = m*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r + 140. Let v(x) = -22*x - 280. Determine -13*n(f) - 6*v(f).\nAnswer: 2*f - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 361854 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 9*i - 2. Let k(d) = d**2 + 4*d - 1. Suppose -30*u = -38*u - 80. Let t be u\/(-4) + 546\/84. What is t*k(g) - 4*h(g)?\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 + 10*a - 19. Calculate o(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 3) + (-5)\/1. Let v be ((-3)\/13)\/(i\/4). What is the second smallest value in v, -2, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 267522664 or 802567988\/3?\nAnswer: 267522664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5 - 20*v**4 - 20*v**3 + 100*v**2 + 16*v - 80 = 0. What is v?\nAnswer: -2, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89401*s**2 + 10764*s - 324 = 0 for s.\nAnswer: 18\/299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0744 - 3.9256. What is the closest to -0.2 in k, 2\/3, 19\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h - 140*h - 6*h + 1050 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2743891 is divided by 249443?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -15. Let c(f) = f**2 + 7*f + 4. Let w be c(-6). Let q = 7 + w. Solve q*m = 2*m + o, 3*m + 9 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/(l*l**(-1\/3)))*l*l)\/l**(-8\/9)*l**(-13\/5)\/l**(1\/5) assuming l is positive.\nAnswer: l**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/10 + -4 - 1. What is the second smallest value in -0.1, y, 4\/3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-3 - 0 - (-6)\/6). Suppose l - 5*c - z = 6, -19 = -l + 2*c. Let w(p) = l - 21 - 2*p. Let f(y) = -17*y**2. Calculate f(w(o)).\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = z + 5*m - 146, -2*z + 559 = 3*m. Solve z + 125 = 103*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 divided by 5?\nAnswer: 1744\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:43 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-4*(-30)\/(-96)*(-4)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(12\/9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/71 - -648\/1207. Calculate the common denominator of 53\/7 and n.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -1.8. Let d = -20088 - -20084. What is the second biggest value in g, 0.1, d, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a - 3?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.285956719 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 - a. Let p(u) = -8*u + 32. Let d be p(4). Let t be n(d). Solve t*x - 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50402 is divided by 504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s - 1. Let r(p) = -2*p**3 + 4*p + 4. Let h be (-6)\/(-9) + (-38)\/(-6). Let a = h - 3. Give a*n(f) + r(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1086*((-32)\/12 + 9\/54). What is the common denominator of (1\/2)\/(2\/(-122)) and (21 - p\/120)\/((-2)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-6.43602112\nAnswer: -8.43602112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 1269 + 1270 = -5*y, -5*a + 20 = 20*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 99\/4, 0.12.\nAnswer: 0.12, 0.2, 99\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -116*s + 1026. What is d(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -21. Let b = -112 - -150. Let f = b - 29. What is the remainder when f is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 709, 3, -4\/3, 1, 20, 1\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*f - 10565 + 2651, 4*f - 28 = 0. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(891))**2 + 3 - 5*((sqrt(891) + 2)**2 + 2)) + -5.\nAnswer: -3597 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5496, 10809, 16112, 21399, 26664, 31901, 37104, 42267?\n\"Answer: -y**3 + y**2 + 5317*y + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33 (b) 1\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:38 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1433803 less than -1433805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -0.518103305?\nAnswer: -0.618103305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099*a**2 - 552*a**2 - 549*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463268915 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j*j*j*j**(2\/9)*j*j*j\/(j\/(j\/(((j**(-11)*j)\/j)\/j)*j)*j) assuming j is positive.\nAnswer: j**(191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*b = 34, 5*b + 40 = 3*t + 2*t. Suppose -t*i + 6 = -3. Which is smaller: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 - o + o + o)*(16 - 16 - 4*o) in the form a + h*o + t*o**3 + d*o**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2\/7 - 14292*t\/7 - 1763840\/7 = 0. What is t?\nAnswer: -3445, -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -406, -481, -556, -631?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -20*p + 54. Let m be r(55). Let l = -1046 - m. Which is bigger: l or 3\/121?\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -9. Let s be 6\/d - (-40)\/25. What is the units digit of -45*(0\/s + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190034 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1076, -2150, -3224, -4298, -5372, -6446?\nAnswer: -7520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 5991475?\nAnswer: 23965900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 650217.2mm?\nAnswer: 0.6502172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5 - 2 - 2*s - 1. Suppose -y = y - 8. Suppose y = 3*f - 4*a + 11, -3*f = a - 13. Give n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200200102112021 + 1?\nAnswer: -200200102112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4230 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8*f**3 + 2*f + 3. Let s(o) = -17*o**3 - 5*o - 7. Calculate 2*s(b) + 5*t(b).\nAnswer: 6*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35929537 to the nearest integer?\nAnswer: 5994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665*i - 32 = -673*i. Solve 0 = i*s - 10*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*d + 68, -3*d + 4*w + 53 = 105 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 19*i - 4*w + 887 = 0, 0 = 3*i + 5*w - 883. Calculate the smallest common multiple of i and 77.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 1. Let y = -5 + v. Let m(s) = -s. Let p(g) = -2 + 0 + 1. What is y*p(i) + m(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-32)\/(-8) - 4) + 20*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 + g + 5. Let u = -7195 + 7191. Let b(s) = -5*s**2 - 2*s - 6. What is u*c(x) - 3*b(x)?\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 3*u**2 - 2. Let v be k(-3). Suppose 43 = 6*b - 29. What is the lowest common multiple of b and (-9)\/(-4) - v\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26982, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/824506824 or 0?\nAnswer: -1\/824506824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.348203 tonnes to grams.\nAnswer: 7348203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 6*p + 12. Suppose 4*g - 808 = 2*h, -3*g - 2*g + p*h + 1011 = 0. Calculate the greatest common factor of g and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22778775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 - 10 = 0. Suppose 3*x = 3*j - 0*x - 105, s*x - 166 = -5*j. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*v**3\/7 + 106*v**2\/7 - 12*v\/7 = 0. Calculate v.\nAnswer: 0, 3\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 2*f**2 - f**2 + 2 - 3*f**2 to t*f**3 + o*f + x*f**2 + b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4 - 121*u**3 - 357*u**2 - 355*u - 118 = 0.\nAnswer: -118, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2543270?\nAnswer: 2, 5, 197, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 170*z + 118*z - z**2 + 456.\nAnswer: -4*(z - 6)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -233, -707, 4, 1 in increasing order.\nAnswer: -707, -233, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026161 rounded to seven dps?\nAnswer: -0.0000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:42 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(1 - 34\/3). Suppose -7*q + 5*q = -r. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:31 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -114*n - 2609. Determine v(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {y: 3, w: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 4*x + 54. What is the least common multiple of 16 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 2*o - 5 = 8*n, 5*n = -2*o - 7. Let x(p) = -61*p + 38. What is the remainder when x(n) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5438 - -5437.9999998395. What is f rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 0.2, -41, -152.94?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 8. Let f be o(4). Let w = -661 + 663. Which is the fourth smallest value? (a) w (b) 0.2 (c) -1\/9 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 15721*a - 16366*a + 26 in the form l + k*a and give k.\nAnswer: -32087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72598, 145197, 217796?\nAnswer: 290395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121842 - -3166939\/26. Let n = b + 73\/2. What is the biggest value in 1\/6, n, 2, -7\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or 297\/7?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3125217 divided by 135879\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, x: 2, p: 7, r: 8}. What is prob of sequence rrw?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)*l)\/l*l**(-7) assuming l is positive.\nAnswer: l**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17755*m**2*r**2 - 56*m*r**2 - 5*m - 8 wrt m?\nAnswer: -35510*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/6 + 5*o**3\/6 + 2*o. What is the second derivative of s(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = k + 103, 105 = 2*d - k - 2*k. Suppose -96 = -6*l + 66. Suppose -6*j + l = -5*j. What is the remainder when d is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932 - 44*r**3 + 5688 + 43*r**3.\nAnswer: -r**3 + 6620","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.139617 + 0.5\nAnswer: -1.639617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 + n - 9. Let x(v) = -3*v**2 + 2. Let f(q) = 2*l(q) + 9*x(q). What is the second derivative of f(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/(k*k**(-1\/2)*k*k)*k**(-1\/3)*k*k*(k\/((k*k*k**(2\/11)*k)\/k))\/k*k)\/((k**(-2\/7)\/k)**(-12))**(21\/2) assuming k is positive.\nAnswer: k**(-10693\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 0.0866, -2\/31?\nAnswer: 0.0866","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 100*a**4 - 454*a**3 - 39872*a**2 + 433640*a - 1095200 = 0. What is a?\nAnswer: -37, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16678 is divided by 2280?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-20)*(-25)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*k**3 + k**2 + 2*k**2 - k**4 - 7*k**2 + k**3 to the form a*k + j*k**3 + t*k**4 + m + x*k**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + o = -52, -2*q - 5*o + 111 = 74 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, 0.4, 8 in descending order.\nAnswer: 140, 8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 149, 171, 211, 275, 369?\n\"Answer: i**3 + 3*i**2 + 6*i + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 0.383\nAnswer: -6.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - 2*k + 1. Let f be b(2). Let u = f - -35. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = -5*h, -52*h - 13 = -54*h - 5*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 921967719 to the power of 1\/2, to the nearest integer?\nAnswer: 30364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/479496 and -73\/40.\nAnswer: 2397480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55091 divided by 13.\nAnswer: -55091\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -110*q + 143*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191983, 767953, 1727895, 3071803, 4799671, 6911493?\nAnswer: 9407263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 0*i + 0*i)*(-4 + 4 - 13*i) + 2*i**3 + 2*i**3 - 3*i**3 to d*i + f*i**2 + l + o*i**3 and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001446 to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -8*h + 46. Solve 3*q + m + 32 = 6*m, -5*m = -5*q - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u - 96. Let a be p(21). Let d(m) = 5*m**2 - 42*m + 29. What is the units digit of d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -16. Let o be 12 - (-1 + (-5 - -2)). Let v = b + o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c - 42. Suppose -3*f - 3*g = -0*f + c, 4*f + 5*g + 57 = 0. Let h = 38 + f. Solve 0 = i + 4*i + h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 + 19 = 0, -5*k + 25 = -z. Let d be (k - 6)\/(1 - 2). Solve -8*t + 3*t = d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94337 - -142272. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36202057 (base 8) in base 9?\nAnswer: 15827161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/(-12672)*-44*(-8)\/14)\/(6\/180).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2\/8 + 381*l\/2 + 163527\/8 = 0. Calculate l.\nAnswer: -91, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l**2 - 2*l + 414. Let y(p) = 16*p**2 - 4*p + 830. Calculate -5*b(q) + 3*y(q).\nAnswer: 3*q**2 - 2*q + 420","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/3*(-8)\/((-1120)\/(-30)). What is the fourth smallest value in i, -5, -1\/2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:22 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2*x**2 - 3*j**2*x - 127*j*x**2 - 1023*x**2 + 13*x wrt j?\nAnswer: 4*j*x**2 - 6*j*x - 127*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 12.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 4, 37, 92, 175?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - 9) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -768 and -3.172?\nAnswer: 2436.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f - 15*f + 128 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let w(q) = 3*q + 4. Let z(p) = -3*p - 4. Let l(a) = 5*w(a) + 6*z(a). Let g be l(-3). Sort 1, m, g in decreasing order.\nAnswer: g, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107713 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p = 25*p. Let l(f) be the first derivative of -1\/5*f**5 + 0*f**2 + p*f**4 + 0*f**3 + 3 + 5*f. Differentiate l(g) with respect to g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/21)\/w)\/w)\/w)**(-46)*(w*w*w**(-12))**(-6\/17) assuming w is positive.\nAnswer: w**(48962\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*y - 4*g - 6 = -804*y, -g = -5*y - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578\/7*l**3 - 960\/7*l + 4182\/7*l**2 + 8 = 0 for l.\nAnswer: 2\/17, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1590 - 5*i + 1590 + 7*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -198*b**2*c**3 - 3036*b**2*c + 2*b**2 + 101*b*c**2 + 3119*c**3 wrt c.\nAnswer: -1188*b**2 + 18714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/36*(-157268)\/8142. Let m = -2\/1357 - d. Let g = 3\/8962 - -20145\/58253. Calculate the common denominator of g and m.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(192) + 4 + (sqrt(192) - (sqrt(192) + 1 + -5)) + sqrt(192))**2 + (-5 + 2*(sqrt(75) + 2))**2.\nAnswer: -148*sqrt(3) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11651\/11 - -3 - 4\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhh when four letters picked without replacement from uuuxxbxhhxbbxhxxxbxb.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - p - 10, -10*x - 22 = -11*x - 2*p. Solve 126 = -35*f + x*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a18 - -2?\nAnswer: -14a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, z: 3, h: 6, w: 2, m: 2}. What is prob of sequence zwdd?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/5 - 2\/(-5). Suppose -j + 4*j - 18 = 0. Suppose -5*z + 4 = 2*m - 5, -j = 2*m. Solve -11 = h - z*q, 2*h + 14 = 5*q - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:48 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by -440056.\nAnswer: 24\/55007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/54821 or -1?\nAnswer: -1\/54821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*w = 482*w - 5680 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 2*p**7\/21 + 4*p**6\/15 + 6*p - 13. Let y(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -519, -16, -2, -5.\nAnswer: -519, -16, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -21*o - 12. Let a(y) be the third derivative of y**6\/120 - y**5\/15 + y**4\/24 - 4*y**2. Give a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -392 bigger than -391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**2 - 2*h - 6. Let l(g) = -4*g - 2*g + 2*g + 12*g - 7*g. Determine q(l(d)).\nAnswer: -7*d**2 - 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2. Let d(h) = -63*h**3 + h**2 - h - 4. Calculate d(y) - 2*q(y).\nAnswer: -61*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4504 + 27?\nAnswer: 4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32101020113 (base 4) in base 11?\nAnswer: -2125067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*u - 2. Suppose -u*o = -0*o. Factor 2\/3*i**3 + o*i + 4\/3*i**2 + 0.\nAnswer: 2*i**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -512666, -512673, -512678, -512681, -512682, -512681?\nAnswer: -512678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 6 + 26, -2*l = -2*y - 2. Factor 0*c**2 + c**3 + c**3 - 4*c**y + 4*c**2.\nAnswer: -2*c**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 0 - 3)*(3 - 1 - 3) + 1 - 4 + 1 - 13 + 4 + 26)*(0*n - 4*n + 2*n) to i + t*n and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -9134546?\nAnswer: -3\/9134546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304)*-2 + 0)) + 2 + -1*sqrt(304) - (2 + sqrt(304) + -3 + (sqrt(304) - (2 + sqrt(304)))))**2*6.\nAnswer: 240*sqrt(19) + 1974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-140) + (34\/(-50))\/((-148)\/1295)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026198 - -0.4.\nAnswer: 0.373802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 + -7 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 6, o: 4}. What is prob of sequence nn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4408*k**3 - 539*k**2 + 35*k. Let c(u) = -2939*u**3 - 360*u**2 + 25*u. Let l(n) = 7*c(n) - 5*f(n). What is the third derivative of l(m) wrt m?\nAnswer: 8802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68264 and 4396.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g**(-2)*g*g)\/g)\/g*g)**12 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 32. Let v = 58 + -82. Let f = v + w. Solve 0 = f*h + 4*q + 36, h = 2*q - 0*q + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18551810399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6208\/11 + -564. Let h = 0.082 + 0.018. Put h, m, 0.2 in decreasing order.\nAnswer: m, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3\/2, 13\/2, -1572 in decreasing order.\nAnswer: 13\/2, 2\/3, -3\/2, -1572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 9. Let a be n(7). Sort 13, a, 3.\nAnswer: 3, a, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:09 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.528977 hours in milliseconds?\nAnswer: 34304317.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -352101 - -40013?\nAnswer: -312044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (2316\/260)\/3. Let d = g + -467\/390. Let j = 340\/3 - 251\/2. Find the common denominator of d and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 61798?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -99\nAnswer: 37\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 92816.\nAnswer: 46408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 185*a + 186*a - 5 - 4 = 0, -4*t = -5*a + 36 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - v**4\/12 + v**3\/6 + 3*v**2 + 18. What is z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-195)*40\/(-6)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 3*t - 33. Determine w(25).\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 13 (c) 5498\/213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q + q - 11*q + (-13 + 46 + 26)*(-3*q - 2*q + 3*q).\nAnswer: -126*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-189) - (7 + 710\/(-90))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564 - 6714 = 205*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95061 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**4 - 141*h**3 + 279*h**2 - 3*h. Let r(f) = -f**4 - f**3 + f**2 - 2*f. Let p(c) = 2*i(c) - 4*r(c). What is the third derivative of p(j) wrt j?\nAnswer: -48*j - 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1361 - 311?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:22 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 46. Let n be l + 2\/4*2. Suppose 4*u + 33 = 2*t + u, -u = -2*t + n. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 929*x - 696*x.\nAnswer: -1603*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 16) to base 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1508.6*29.\nAnswer: -43749.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 0.03.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 567 and 756.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197530?\nAnswer: 2, 5, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -52*t + 20. Let m(d) = -24*d + 8. Let l(j) = 3*b(j) - 7*m(j). Let y(z) = 12*z + 5. Give 6*l(k) - 5*y(k).\nAnswer: 12*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2222.14 and 2791?\nAnswer: 568.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83169 is divided by 562.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -21. Suppose 0*d - 3*d + z = 0. Is d at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.2. Let s = -1\/67313 + -29146489\/2692520. Let r = s + 93\/8. Which is the biggest value? (a) o (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -37*g - 52*g + 531. What is the nearest to 0.2 in g, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 19 + -16 + -9 + (7 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/v**(-2\/5))\/(v**(1\/5)*v**(1\/6)) assuming v is positive.\nAnswer: v**(47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 4. Let h(l) = 0 - 2 + 3. Suppose 12 = 4*q + 4. Suppose -q = 3*o + 1. What is o*m(f) + 3*h(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -15. Calculate the common denominator of 113\/6 and 94\/(r\/4 + -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-25))\/(2\/10). Suppose v = -2*v - d*v. Let j = -443\/12 + 37. Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 27. Let t(x) = -38*x - 2654. Let z be t(-70). What is c(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -2814, -9552, -22718, -44466?\nAnswer: -76950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + v + 6. Let c(t) = 7*t**3 - 5*t - 14. Let p(l) = -13*l**3 + 9*l + 27. Let z(r) = 5*c(r) + 3*p(r). What is -11*n(x) + 6*z(x)?\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -31172.86647 to 0 decimal places.\nAnswer: -31173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -13 - -7 - 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1806 - 1001. Is 53 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -397062 (base 10) to base 7.\nAnswer: -3242421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0887 rounded to 2 decimal places?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.3 - -40.29891. Round m to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 2*g**2 + 2. Let p be k(2). Let c(b) = 4*b - 2*b - 3*b**p + b**2 - 1 - 4*b**2. Give c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*r + 3, 3*y + 5*r = r + 19. Let k be ((-8)\/(-10))\/((-2)\/(-5)). Solve 0 = -7*x + k*x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 16 + 11. Is -3\/349 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23026567, 46053174, 69079791, 92106424, 115133079, 138159762, 161186479?\nAnswer: 184213236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2*c - 2*c + 0*c)*(-5 + 4 + 0).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18255 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 8*x + 8*x - 5*f = 40, f - 26 + 31 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) 0 (c) 6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1\/5)*f))\/f**(1\/8)*(f\/(f\/f**0*f*f))**(-3\/19))**(-48) assuming f is positive.\nAnswer: f**(4602\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t - 7. Let v(w) = -9*w - 6. Let d(n) = 4*h(n) - 5*v(n). Let p(b) = -b**2 - 5*b + 2. Let z be p(-4). Give d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 - 3*h**2 + h**2 + (-h + 4*h - 4*h)*(2*h - 2*h + 2*h))*(2 - 2 + 2*h) as i*h**2 + c + u*h + j*h**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -0.4, -354, 1\/2, 25?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.51 - -7.49. Sort 3\/7, 0.5, 1\/6, t.\nAnswer: 1\/6, 3\/7, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195631 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2400, -2398, -2394, -2388, -2380?\nAnswer: -2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2483244 and 7506.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 6 - 412*b + 22)*(4*b + 0*b - b**4 - b**4).\nAnswer: 824*b**5 - 1648*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 + -304.9856. Let s = 0.014399806 - d. Round s to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4719)\/30)\/11*-2. Let j = c - 29. What is the third biggest value in 0.08, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least -40111\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3947 + 1238. What is p rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.6. Which is the third smallest value? (a) g (b) -6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13508, -13639, -13984, -14651, -15748?\nAnswer: -17383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 4*t**2 - 3*t - 2. Let f be b(-2). Suppose -2*h - 15 + 1 = 0. Let q = f - h. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/15*(-54)\/4. Suppose -w*k - 78 = -3*k. Which is smaller: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21) - (-23)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*t**4 - 289*t**3 - 289*t**3 - 298*t**3 + 738*t**2 + 861*t**3 wrt t?\nAnswer: 1392*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 95 = -2*g. Suppose -z + 92 = 4*w + g, z - 90 = -5*w. Solve 0 = -3*n - 4*k - 3 - w, -2*k + 8 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1454*o**3*t**3 - 4*o**3*t**2 + 83*o**3 + 2*o**2*t**2 + 385*o*t - 93100*t**6 wrt t.\nAnswer: -8724*o**3 - 11172000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.055 and -20.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.81 and -7.\nAnswer: 12.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3847614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 - 11*n**2 - 347*n - 2359. Calculate a(-7).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 2976 = 2346 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Suppose 0 = -u - 3*u - 2*j + 318, j - 239 = -v*u. Suppose 3*r + u = r. Round r to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 67. Suppose 3*l + a = 15, -3*j = 4*l - 30. Let r(n) = n**2 + n - 4. Calculate the lowest common multiple of r(-4) and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102635.6 micrometers to kilometers.\nAnswer: 0.0001026356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4*j**2 - j**4)*(-1 + 3 + 1) + (3 - 4 + 3)*(3*j**4 - 2*j**4 + 0*j**4).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 245 (c) 1 (d) 0.2 (e) 2 (f) -3\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8555.2 - 8555. Which is the second smallest value? (a) -4\/11 (b) -1 (c) -8 (d) z (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23474, -23505, -23538, -23573?\n\"Answer: -g**2 - 28*g - 23445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**2 + 39*z - 30. Let w be u(-8). Suppose 5856 - w = 18*v. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1406*i - 37888. What is c(-27)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 246830*n - 246839*n - 246830*n + n**3 + n**2 + 740499*n.\nAnswer: n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/6)\/(-2))\/(650\/(-20) + 31).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)*1 - sqrt(170)*-1*-6)\/(((sqrt(120) - (sqrt(120) + sqrt(120)*1))*-2)\/sqrt(12)))**2*1.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -7. Suppose 4*f - 44 = -2*q + g, 249 = 5*q - 4*f. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(54) - sqrt(56))\/((2*sqrt(72))\/sqrt(9) + sqrt(8)).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(68) - (2 + sqrt(68))) + 0 + -2 + sqrt(68) + 0)**2).\nAnswer: -504 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -457, -1\/5, 163\/15?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.4, -0.7, -1\/22, -3, 144, 0.4, 4?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-633)\/(-8) - 5\/20. Let v = x - 110. What is the least common multiple of v and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1362529\/62418 - -44\/10403. Let n = -57 + -17. Calculate the common denominator of 0 - (-1 - n\/(-68)) and h.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*f - 7, f - 4*f = 5*s - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 71\/28)*20\/50.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010011101110110000101 (base 2) in base 15?\nAnswer: -920a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h**(-34)\/h)\/h)*h*h*h*h*(h*h**(-2\/11)\/h)\/h)**(5\/16))**18 assuming h is positive.\nAnswer: h**(20205\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 6. Suppose -q = 0, 2*q + 768 = -j - u*j. What are the prime factors of (j\/(-12))\/((-6)\/(-27))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/256 and -63\/8.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - ((-23 - -15) + 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evnvc. Give prob of picking 2 v and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 69957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.164 + -97.2\nAnswer: -99.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -0*s - 3*s, 0 = 4*n + 5*s - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -28256808\/79 less than or equal to -357682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i**2. Let x(r) = -4*r**2 + 5*r - 5. Let n(v) = -v**2 + v - 1. Suppose -17*f + 13 + 4 = 0. Let j(y) = f*x(y) - 5*n(y). What is j(g(q))?\nAnswer: 169*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 2 - 2)*(-4*w + 2*w + 4*w) + (0 + 1 - 2)*(-5 - 5*w**3 + 5) + 322 + 322*w**3 - 322.\nAnswer: 325*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 429?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -374 divided by 4\nAnswer: -187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1032936, 0.5, 1 in decreasing order.\nAnswer: 1032936, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 2:55 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 + 54 - 172 + 71 - 30*w - 15*w to g + i*w and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 18 = 8*d + 24*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*k**3 + 247*k**3 + 251*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 5, d: 3, e: 1, f: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*b, 125*m = 126*m - 3*b + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/95608 and 59\/7030?\nAnswer: 478040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Suppose 7*y = 8*y + 28. Let j = y + 29. Let i(m) = 0 + j + 11*m - 1. Determine p(i(h)).\nAnswer: 121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55185015 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3392 divided by 106\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 8) to base 7.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16419171, 32838340, 49257509, 65676678, 82095847, 98515016?\n\"Answer: 16419169*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 12 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 186229.1 meters?\nAnswer: 186229100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/30 + 119*j**4\/3 - 56644*j**3\/3 - 781*j**2. Factor k(w).\nAnswer: -2*(w - 238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -2*s, -4*s + 2*u = -10 + 32. What is the common denominator of -85\/4 and (14\/s)\/((-4)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1471275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + -3 + -58 - (-46 + -77 + 115)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + s**2 + 2*s + 30. Suppose i = -2*g - 1, -2*g - 4 = -0*g + 4*i. Let h be m(g). Suppose -5*c + 685 = h. Round c to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5584 and -60 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -681122 by -442.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -28. Let q = -6.5 + -0.5. Let y = q + 6. Put 5, w, y in descending order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/18*342\/15. Suppose 422 = 5*z - 4*l, 0 = 3*z - 4*z - 2*l + s. Let j = -59 + z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -432.632 - -470.2. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35283, -36145, -37007?\n\"Answer: -862*u - 34421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 944 and 49?\nAnswer: 46256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5770?\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000010 (base 2) to base 11.\nAnswer: -592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 6*w + 3. Suppose 4*a + 39 = 3*i, a = -a - i - 7. Suppose 2*n - 50 = -3*n. What is the lowest common multiple of n and b(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147082730?\nAnswer: 2, 5, 601, 24473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 1.2. Let c be ((-24)\/(-52) - (-236)\/52)*(-12)\/(-15). What is the closest to -2\/9 in -5, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-91 + 307 + 224 + c + 234)*(0 - 7 - 3).\nAnswer: 10*c + 6740","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 21 (c) 0.1 (d) 3 (e) -93\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:00 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from aivgjwwawii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*g - 6*g - 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*g - 4*z + 616 = 270*g, -4*z - 734 = -5*g. What is the least common multiple of 150 and g?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 0, n + 5*c + 5 = -5. Suppose -4*p + n - 3 = 2*x, -5*p - 37 = -4*x. What is the least common multiple of x and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 25 = 3*j. Solve j*x + 3*u = 5*u, 12 = -x - 2*u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59691343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54285 is divided by 188?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25181?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1 - 0) - -3 - -10. Solve 2*p + d*i = 7*i - 13, 5*i = 4*p - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*p + 126*a**3 + 9*p wrt p?\nAnswer: 2*a**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 7*t - 1\/12*t**4 - 13\/2*t**2 - 2*t**3 + 0. What is the remainder when 32 is divided by o(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22632\/69)\/82*12\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9274612*l**4 + 3631*l**2 - 692*l.\nAnswer: -222590688*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30985 (b) -3 (c) -1\/22 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 - 1803\/7. Let p = 9 - 13. What is the nearest to q in -1, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*1*(-217)\/35. Let a(c) = c + 27 - f - 2*c. What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 5. Suppose 30 = -0*z + n*z. Solve 4 = 2*x - z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258459\/88 + 2937. Let h(k) = -131*k + 262. Let m be h(2). Which is smaller: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/36)\/(12\/162)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.91718ng in milligrams?\nAnswer: 0.00002891718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -3 (c) -0.4 (d) -2\/49 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (132\/(-198))\/((-8)\/132). Solve -8*n - c = 45 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 31706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156311826 times -0.5?\nAnswer: -78155913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 657569 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*u = -465, u + 905 = -3*q + 7*q. Let h be (1 - -6 - 1) + 57 + -38. What is the greatest common divisor of q and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-153)\/(-45) - 2\/5. Suppose a - 19 = -3*m, u*a + 0*m - 3*m = -3. Sort 3, a, -12.\nAnswer: -12, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 2, 110, -6\/29?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486506 is divided by 104.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(52)*6)**2 + 0).\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3127 is divided by 619.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/((v*v*v**(-6))\/v)*(v*v*v\/(v*v\/v**(5\/6))*v)\/v**(-2\/9))\/(v*v**(-2\/9)*v**(-1))**(9\/11) assuming v is positive.\nAnswer: v**(2621\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 3. Suppose 4*s + 9 = 41. Suppose 5 = -x + a, -3*x + 5*a = -s*x - 15. Determine y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 89*a - 111. Let o be v(-43). List the prime factors of ((-1040)\/(-56) - o) + 6695\/7.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 + 15*m**2 - 11*m**3 + 34*m**2 - 56*m**2 + 754*m in the form a*m + f*m**3 + u*m**2 + i and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2173 = -35*k - 1613 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r - 2. Let q be v(-2). Is 77\/6 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/((-6)\/40). Let j = 18 - -58. Suppose -j = -10*b + 6*b. Solve 4*u = -5*y + b, 2*y = -2*u + m - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33931119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1834 = 28082. What are the prime factors of d?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 40*h**2 + 145*h - 1246. Determine t(37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14286*l. Let v(b) = 10*b**2. Determine c(v(h)).\nAnswer: -142860*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1178115928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 433, 655, 881, 1111, 1345, 1583?\nAnswer: 1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:25 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 6*x + 21)*(0*x + 0*x + 4*x**3)*(-2 + 2 - 4) in the form v*x + h*x**3 + w*x**2 + d + s*x**4 and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6509*i - 6507*i - 25428 = 0. List the prime factors of i.\nAnswer: 2, 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3133116*c**2 - 2482*c + 391?\nAnswer: 6266232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-35)\/(-52) + -1)*-15*96\/2160 and 151\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 92.95. Which is the closest to -1\/3? (a) v (b) 3\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three fifths of a meter?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 - 2 - 7 + 4 + 116*g. Let n be r(1). What is the greatest common factor of 74 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.138 + -10.838. Let y = -0.9 + -3.1. What is the smallest value in -29, y, r?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1120\/(-11760)*7\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -138, -196, -256, -318, -382?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z + 1. Let k be c(0). Let y be -5*((0\/(-2))\/1 + k). Put y, 10, 5 in ascending order.\nAnswer: y, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 times 54\nAnswer: 8154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0786 - -0.0786. What is the second biggest value in -4, x, 3.6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1*(0 + 3). Suppose -358*l - 3*k = -361*l + 48, 70 = 4*l - k. Put 5, x, 0, l in ascending order.\nAnswer: 0, x, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 9*b - 10. Let w be r(2). Solve -2 = -5*x - 7, -w*n + 5*x = -17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991294 is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:24 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 - 122092473232?\nAnswer: -122092474047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 0*f**3 + 3*f**4 + (-6 + 5 + 4 + (5 - 4 + 0)*(-3 + 3 - 1))*(0 - 5 + 2)*(-11*f**3 + 16*f**3 - 43*f**3)*(2 - 3*f - 2).\nAnswer: -681*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226.3 - 250.92. Let i = m + 23.8199. Let o = i - -0.8. What is o rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -252?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17.999993. What is t rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92\/3*d**2 - 50\/3*d**4 - 2\/3 + 8*d + 40*d**3.\nAnswer: -2*(d - 1)**2*(5*d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4742*s**2 - 2374*s**2 - 5*s**3 - 2368*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -16*c**3\/3 + 5*c - 10. Find the first derivative of t(p) wrt p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - m + 1. Let t be b(0). Suppose -u + t = 15. Let h = u - -13. Which is smaller: -3\/2 or h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1687, 6694, 15041, 26728, 41755, 60122, 81829?\n\"Answer: 1670*x**2 - 3*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 8:19 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljvv when four letters picked without replacement from {l: 7, v: 3, j: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 69. Let q be c(-11). Let o be q\/(-6) + (-77)\/(-21)*1. Let v(u) = -5*u - 9. Let f(t) = -4*t + 3*t + 6 + 4*t. Calculate o*v(x) + 8*f(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 2\/3*x**3 - 1\/4*x**4 - 2 + x - x**2. Let j be d(1). Solve -5*p + j*c = 3*c + 14, 3*c = -4*p - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 484 = 3*b - 34*a, 0 = -b - 2*a + 162. Do 159 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 5*q + 6. Does 20 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = -2*w - 35, p - 28 = -4*w. Let s = 52 + p. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65, -544, -1883, -4526, -8917, -15500?\n\"Answer: -74*p**3 + 14*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165804 and 54366.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 24*l**2 + 3. Let z be c(-2). Let b = 111 + z. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjcccjjjjj. What is prob of picking 3 j?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*k**2 - 53*k**2 - 76*k**3 - 117*k**3)*(441 + 0*k + 8*k - 449) in the form d*k**3 + g*k**4 + o + f*k + b*k**2 and give g.\nAnswer: -1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 38 = -12. Solve -8 - b = 5*c - 2*g, 8 = 2*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + (-55)\/(-9))*3. Let w = 0.03 - 0.03. Let l = -18\/5 - -34\/15. Which is the nearest to 2\/7? (a) w (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2024 = -4*d, -2*d - 5*n + 488 = -d. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose 10*s = 11*s - b. Solve -3*d + 3 + 3 = s*n, -2*n + 6 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, -1, 1.15, 1, 4, 2.\nAnswer: -293, -1, 1, 1.15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 6886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 22*d - 23. Let b be o(-11). Sort 5, b, 4 in decreasing order.\nAnswer: 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1371, 1319, 1231, 1107?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 7*u**2 + 5*u. Suppose d + 12 = -d. Let g be r(d). Suppose p + 2*l = g - 14, l = -3*p - 4. Solve 2*x - 20 = -3*o, x - 4 + p = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a7c (base 16) in base 14?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.96 (b) 1\/3 (c) -0.3 (d) 0.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f**2 - 2*f**2 - 13*f**2 - 10*f**2 to the form k*f**2 + p + c*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48084 (base 12) to base 2\nAnswer: 10111101001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237825.8 kilograms to nanograms.\nAnswer: 237825800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -m + 5*m. Let r be (-1)\/(10\/6)*(-5 - 0). Suppose 5*w - r*i - 111 = -6, -i = m*w - 49. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 11 - 79 = 0. What is the remainder when t is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:53 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -2164, -5055, -9148, -14437, -20916, -28579?\nAnswer: -37420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, -11, 36, 20, -0.5, 0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0861842 rounded to 2 dps?\nAnswer: 4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 - 27*w + 233. Let y be i(-10). Put 1, -28, 2, y, -3 in ascending order.\nAnswer: -28, -3, 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -5 - 1\/22*z**2 - 1\/55*z**5 + 0*z + 1\/33*z**3 + 1\/44*z**4. Factor u(g).\nAnswer: -g*(g - 1)**2*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2141\/344 + -200\/43. Let c be -6 - -5 - (-51 + 2). Calculate the common denominator of b and 11\/(-3)*44\/c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4 + 118*c**3 + 242*c**2 + 122*c = 0?\nAnswer: -1, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 174035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1690 and 53\/30.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 4*z + 15, -25*l = -20*l + 7*z - 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u + 54 = 378. Suppose -u*w = -37 - 11. Solve w*v = 18 + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*g*y**2 - g*y - 36528*y**2 + 338613*y wrt y.\nAnswer: 62*g - 73056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117135 greater than 1054210\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 283 and 282 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3657, 5, -12133 in ascending order.\nAnswer: -12133, -3657, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 5*a - a)*(-2*a**2 + 4*a**2 - 7*a**2 + (-2*a - 2 + 2)*(2*a + 1 - 1)).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68192749 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - 6) + -7 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 + 20*p + 1. Let g(x) = 2*x**2 - 16*x + 21. Let b be g(6). What is q(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opxx when four letters picked without replacement from {c: 1, o: 1, x: 2, p: 1, s: 3, k: 3}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*l - 22, 4*h - 37 + 10 = 3*l. Let o be (-16)\/(-40) - 703\/l. What is the second derivative of 6*y**4 + 17*y**4 - o*y + 117*y wrt y?\nAnswer: 276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2\/2 - 7*z - 469. Let h(u) = -u**3 - 12*u**2 + 14*u + 10. Let w be h(-13). Determine t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 2*v + 5*u, -u - 2 = v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 153545 at least as big as 153543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-18)\/(a**(-3)\/a) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 626763 and 4812?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = 5*g - 3*z, -5*g + 2*z - 4 = 0. Let k = 24 - 14. Suppose -2*p - k = -4*p. Which is the nearest to g? (a) p (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-28)\/(-32) - (-392)\/64. Let y(b) be the first derivative of b**3\/3 + 3*b**2 - b - 1. What are the prime factors of y(n)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 11*y**2 - 11*y + 12. Let x be t(10). Suppose h + x*h = 10200. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/60*-5*(-1 - 4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 not equal to -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136 * -572.4.\nAnswer: 77846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -98c8?\nAnswer: -98c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 50*f - 51*f. Suppose 909 = f*c - 147. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 22*n**2 + 6*n - 67. Let m be v(-23). What is the highest common divisor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4189 + -4186. What is the third smallest value in -1\/3, 1\/8, 0.002, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4*p - 4043145*l**3*p + 18095*l**2*p - 2*l*p + 160*p wrt l?\nAnswer: 48*l*p - 24258870*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 65, -1\/4, -5, 3\/5, 4, -8?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmmgzzcmz. Give prob of sequence zgzc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/9041 or 0.1?\nAnswer: -14\/9041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 24. Let s be m(12). Let j(n) = s*n**2 - 13*n**2 + 3 - 3. Let g(b) be the third derivative of 7*b**4\/12 + 43*b**2. Give j(g(v)).\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-30) - 156\/60)*5\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = h - 2*s + 5, -4*h - 3*s - 94 = 0. Let l = h + 20. Calculate the least common multiple of (4 + -12)\/l - 1 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 7*r - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41329 - -0.01329. What is the closest to -1\/4 in u, 0.9, -2\/7, 16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2045138 = -22627*p - 12634*p for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5 (b) 2 (c) 6\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -28. Let y(v) = 3*v**2 - 48*v - 66. Let c be y(18). What is the greatest common factor of d and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194120153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 46*y + 5. What is the remainder when 302 is divided by u(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5630 (base 7) to base 6.\nAnswer: 13222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92477 - 53934. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -34. Suppose 0*v + b = 5*v. Let j = v + -2. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15603004 (base 8) to base 13.\nAnswer: -993452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/((-10)\/96) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 1118*o + 744.\nAnswer: (o - 372)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018300357 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 126*h**2 - 4 + 3 + 421*h**2 in the form j*h + k*h**2 + w and give k.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-7 - 16\/(-4)). Suppose 1\/3*k**z + 3 + 2*k = 0. What is k?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, e: 1, k: 7, m: 5}. What is prob of sequence kk?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(3*sqrt(396) + -3 + sqrt(396) - (sqrt(396) + -5*sqrt(396)*1)**2)*2*-1.\nAnswer: -192*sqrt(11) + 50712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/11)*a*(a**(-1\/9)*a)\/a*((a*a*a**9*a)\/a*a)\/(a\/((a\/a**(-4))\/a)) assuming a is positive.\nAnswer: a**(1609\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28776, -28684, -28592, -28500?\nAnswer: -28408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((16 + -18)*69)\/(-1) is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3518 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 100*x - 97*x - 6 = 0, -26 = 5*s - 2*x for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22181829?\nAnswer: 3, 239, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -54\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 607643*c - 1215291. Calculate v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*k**3 + 178924137*k**2 + 313117197*k - 89462058 = 0. What is k?\nAnswer: -14910343, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -396369245.2243149 + 396369461.1. Let w = 206.875693 - f. Let r = -9 - w. What is r rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6907890?\nAnswer: 2, 3, 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3\/5 + 429*o**2\/5 - 15186*o\/5 + 2952 = 0?\nAnswer: 1, 60, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.702 from 0.05.\nAnswer: -2.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 9564 + 4234 - 50*d**3 + 31*d**3.\nAnswer: -19*d**3 + d + 13798","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*24\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 0\/(-2) - -2. Let l = z - -4. Let f = -4.7 - -5. Which is the closest to l? (a) 5 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:02 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + (sqrt(76) - sqrt(76)*-1))*-4)**2 + -1)*1 + 3.\nAnswer: 256*sqrt(19) + 4930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 7:12 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75757407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 + 2 = 0. Let z be -4 - 2\/(a\/(-2)). What is the common denominator of -5\/16 and (-2)\/z - (-38)\/(-96)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 - 3. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 7.7\nAnswer: 469.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13*s**2 + s - 10. Let j(t) be the second derivative of 0*t**2 + 0 + 10*t - 1\/6*t**3. Let d(m) = -j(m) - r(m). Differentiate d(a) with respect to a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -1\/20*w**5 + 0*w**3 + 0 + 0*w - 6*w**2 + 0*w**4. Let o(u) = -2*u**2. Determine o(b(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10.769306.\nAnswer: 32.307918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/2 - 24146*n**3 - 241541*n**2\/2 + 1352286*n + 1448910 = 0. What is n?\nAnswer: -10, -1, 6, 48297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1828*s**2*t**3 - 188*s**2*t**2 - 2*s**2 - s*t + 2 wrt t?\nAnswer: -10968*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1058 and 253.\nAnswer: 11638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/11))\/b**6*(b*b**5*b)\/((b**(-1)\/b)\/b))**(1\/30) assuming b is positive.\nAnswer: b**(28\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 23 - 6 = 3*g, g = -2*q + 9. Suppose -4*v + 13 - 5 = 0, 0 = -4*f + g*v + 426. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.324 + 0.124. Let s = 35\/3 + -34\/3. What is the third smallest value in -2\/13, v, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**15*w*w**(-16)*(w\/((w*w**(-2\/17))\/w*w))\/(w**(-14)\/w) assuming w is positive.\nAnswer: w**(257\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 0 + (170 - 327 - -231).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/(32\/48). Does 9 divide l\/(3\/(-18))*(-112)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -23, 28, 2 in increasing order.\nAnswer: -23, -5, -1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + -2 + sqrt(20) + (-1 + sqrt(125) + sqrt(5) - (sqrt(20)\/sqrt(4) + 3)) - ((sqrt(720) - (-1 + sqrt(720)))*-5 + -2*sqrt(125) + -5))**2.\nAnswer: 72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667959382381 + 1.2?\nAnswer: 2667959382382.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (12 - 5) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6154*z + 36548*z - 2725*z.\nAnswer: 27669*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.63 + 2.17. Let a = 37.7 + -38. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1660 + 483?\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 713\/(-966) + ((-1104)\/224 - (-2 + -3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 574\/122225?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, e: 2}. Give prob of sequence kkke.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 3, -127, -1 in ascending order.\nAnswer: -127, -1, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/49 + (-20)\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 = -90*t - 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 + 79. Let w(q) = 3*q**2 + q. Determine w(r(d)).\nAnswer: 3*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2426 (base 8) to base 10\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2103353 (base 6) to base 3\nAnswer: 12011202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u + 43. Let l be g(0). Suppose -h + 126 + 261 = 0. Calculate the greatest common factor of l and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63966 (base 14) in base 6?\nAnswer: -5053450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from sddsddd.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*sqrt(209) - sqrt(209)) + -4*sqrt(209)*-1)\/((sqrt(77)*2*5)\/(-6*sqrt(63))).\nAnswer: 18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 13*n + 2. Determine f(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + -a84d?\nAnswer: -a879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((sqrt(7) + 1)*5 - sqrt(28)*2))*5)**2 + -5.\nAnswer: 395 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-10))\/((-2)\/10). Suppose 2*j + 2*r - 1 - 1 = 0, f*r = 3. What is the units digit of 0 + j + 2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176828340051 take away 0.2?\nAnswer: -1176828340051.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2033 - 0?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 882687578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 58. Let k be (209\/(-76))\/(2\/16). Are k and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11831576567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) - sqrt(102) - sqrt(102))*6)\/sqrt(6) + 3.\nAnswer: -6*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 1:21 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 3, f: 4, e: 1, n: 5, b: 6}. Give prob of picking 2 n and 1 b.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1231*j**3 + 5*j**2 - 12*j - 19. What are the prime factors of z(-2)?\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/24 - (-9762)\/36. Let v = m - 528. What is v rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 947 - 26*b**2 - 947.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 244?\nAnswer: -3\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 16302. Suppose -12866 = 3*j + k. Round j to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17 = -2*i, -2*z + i + 8 = z. Suppose 0 = -2*o, -z*c - 2*o = -4*o. Suppose 0*m - 5*m = 0. Are m and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 0.3. Let h = -1 + u. Let j = h - 1. Which is the second smallest value? (a) j (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302.944 - -6.816. Round o to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -372, -10, -4, -0.2, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18787*r + 30226.\nAnswer: 18787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/378709 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*d - 525*d + 2 + 0 + 34*d to the form p*d + w and give p.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1351723902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -332 divided by 1687054\nAnswer: -166\/843527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -102. Let n = f + -2.00275. Round n to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -181.\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 3 + 0*f - f**2 + 0*f**2 + 3*f. Let w be v(3). Let c be (2\/w)\/(2\/(-306)). Calculate the highest common divisor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 4858 (c) -2\/5 (d) 0.11 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ac4 (base 15) in base 5?\nAnswer: -1211214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 10. Let m(j) = 2*j + 4. Let g be m(8). What is the greatest common divisor of g and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j + 24. Let b be u(-1). Let o(k) = -k**3 + 3*k**2 + 2*k + 4. Calculate o(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 0.1, 17\/59, 1447?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -344, -371, -398?\n\"Answer: -27*a - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 122, -22, 4, 83, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 130 = -4*x. What is the smallest common multiple of x and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -4 - (-11 + 4 - -23)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33171, -67790, -102409?\nAnswer: -137028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**3\/3 - 590*r**2\/3 + 10804*r\/3 + 2738\/3.\nAnswer: 2*(r - 37)**2*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(385\/77))\/((-3)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224496 and 864?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 12204198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41)\/(-123) + ((-80)\/6)\/(-5). Solve j*q + 395 - 383 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691.2309 kilograms in micrograms?\nAnswer: 691230900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1144 divide 11229863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 26 = -3*w, 0 = -3*z + 4*w + 3 + 1. Let k be 44\/3 + (-3)\/(-9). Let q be k + z + 0\/1. Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 18. Let s(n) be the third derivative of n**5\/60 + 2*n**2 + 36*n. What is p(s(i))?\nAnswer: -2*i**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 259910*w + 4678345. Determine l(-18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(175) + sqrt(175))**2*5 + sqrt(28)\/sqrt(64)*-3).\nAnswer: -7040 + 803*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 30 = 11*r - 7*r, 3*v - 63*r = -30 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:34 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47350 * -0.437\nAnswer: 20691.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -22511.22802 to the nearest integer.\nAnswer: -22511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 485*k = 480*k + 43, -3*x - 3*k = -33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-62)\/(-279))\/((-2)\/(-18)). Suppose 2\/5*r + 1\/5 + 1\/5*r**f = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945605 is divided by 21466.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 8) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23 - (-5 - -1))\/((-2)\/(-6)). Let t = q - -56. Is -2\/11 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and (-455)\/(-200) - (7 + -3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (95 + -111 + 18).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/8)\/(3\/(-16)). Let g = 12 + r. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)*c)**(8\/11))**33*(((c\/c**(-2))\/c)\/(c**(-1\/9)\/c))**5 assuming c is positive.\nAnswer: c**(212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(117))**2 + -5)*-3 + (((sqrt(13) + 2)*2)**2 - (-2 + sqrt(1053))**2) + -4.\nAnswer: -1332 + 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 150, -11.\nAnswer: -11, 5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 297 - 57 = 0. Let r be -5 + 2 + 5\/(15\/(-9)). Let t be (3 + (-12)\/(-8))*(-20)\/r. Calculate the highest common divisor of t and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(112)\/(sqrt(8) + sqrt(8) + sqrt(32)\/sqrt(4) + sqrt(8)) + sqrt(14))\/sqrt(7).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14751660 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + -7 + (-11 - -22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*a + 3*a. Let q = -0.13 - -0.21. Let x = q - -1.92. What is the smallest value in a, 0.5, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11249 - 11254. Let h(b) = -b**3 - 3*b**2 + 18*b + 34. What is h(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 - 13\/168*d**4 + 43*d**2 + 0*d + 1\/420*d**5 + 0*d**3. Let i(z) = 0. What is z?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5) - (-3)\/(-15 + 1350\/85). Solve -o*i = -4*a + 8, -19*i + 16*i - 4*a + 22 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*m**6 - 7*m**5 + 204*m**2 wrt m.\nAnswer: -8160*m**3 - 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 405*o = -403*o - 5, 2*a - 2*o = -10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 2299?\nAnswer: -22a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:07 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 30 = 0. Suppose -4*p - 21 = -y - 4*y, 20 = 5*p + 3*y. Let t(k) = 2*k**2 + k. What is the remainder when w is divided by t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72613880.88 - -0.4.\nAnswer: 72613881.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1963 + 80*f - 1963 + (2*f - 1 + 1)*(-4 + 1 + 2) + 0*f - 2*f + f)*(3 - 2 + f - 2*f)*(3 - 4 + 0).\nAnswer: 77*f**2 - 77*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 22 = 2*n, 11 = -192*q + 193*q + 5*n. Solve -2*o + 2*d + q = 4, -4*o = d - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (868\/35)\/((-14)\/(-105)). Calculate the greatest common factor of s and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 not equal to 0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*m - 3 - 24, -5 = m. Solve n + 14 = -7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1944*h**2 + 6. Let g(n) = -3889*n**2 + 15. Let a(y) = 8*g(y) - 20*r(y). Let k(t) = -t. Determine k(a(i)).\nAnswer: -7768*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1357 + -1370.71. Round i to 1 dp.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114133.\nAnswer: 19, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -2*o, 2*o - 3 = -g - 0. Let f = g - -5. Suppose -f*p - 5 = -51. Calculate the greatest common factor of 253 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1654549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50819.22g in nanograms?\nAnswer: 50819220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8985102?\nAnswer: 2, 3, 7, 31, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -29 + 28 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z = 33*z. Let o(a) = 4*a + 17. Let w(j) = -5*j - 18. Let f(k) = -4*o(k) - 3*w(k). Calculate f(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492412 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d = 15. Suppose a + 5*a - 120 = 0. Solve -a = 2*i + d*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1257773 rounded to three dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -36.46\nAnswer: -3.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 996*m - 555*m - 514*m**2 - 441*m.\nAnswer: -514*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1 + 25*d**2 - 8 - 24*d**2 - 5*d. Let n be j(7). Suppose 0 = -n*p - 300 + 995. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 340.\nAnswer: 78540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13828619, 13828571, 13828523, 13828475?\n\"Answer: -48*q + 13828667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let o(s) = 31*s**2. Give i(o(k)).\nAnswer: 62*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074568 to six decimal places.\nAnswer: -0.000746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-30))\/(118\/708) - 114\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**32\/(q**(-12)\/q*q)*q**(-16\/7)\/(q**(-38)\/q))**(5\/3) assuming q is positive.\nAnswer: q**(2825\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 201, -547, -3205, -8727, -18067, -32179, -52017, -78535?\n\"Answer: -159*n**3 - n**2 + 368*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 42. Let n(f) = 8 + 99*f - f**3 + 12*f**2 - 23*f - 30*f - 31*f. What is the units digit of n(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-3*v - 4*v + 4*v) - 145*v - 145*v + 297*v to x*v + k and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7218*m - 876. Let b be g(18). What is b rounded to the nearest 1000?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -139 - (684 - 716 - (5 - 18)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**4\/24 - 6*v**2. Let l(i) = 232*i + 116. Let n(c) = -5*c - 2. Let a(z) = l(z) + 58*n(z). Determine b(a(h)).\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b = 66*b + 4. Let n be 45\/12 + 1\/b. Solve 4*o + p + 11 = -0*p, -31 = n*o - 3*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2312695 * -46.\nAnswer: -106383970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - 1146?\nAnswer: -1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-1)\/(-2))\/((-2)\/(-7)). Let u = -11.9 - -10.9. What is the third smallest value in -0.5, -0.3, u, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = o. Suppose -o*l - l = -24. Suppose 28 - l = 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 355962?\nAnswer: 2847696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451\/51 at least as big as 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(7\/(-63))*4\/6. Let n = -14 + 49. Suppose 4*o + 5*y = n, o + 4*y - 22 = -o. Solve 2*v = o*v - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/16 + 2\/8. Let n = -1 - c. What is the third derivative of i**2 + i**n - 2*i**3 - 5*i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*p*u**2 + 11*g*p - 235*g*u + 198*p*u + 2*u**2 + 229*u - 4 wrt g.\nAnswer: -p*u**2 + 11*p - 235*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 - 6*s + 8. Let l be (-28)\/(-154) + 128\/22. Let p(n) = -13*n**2 + 7*n - 7. Let t(z) = l*p(z) + 7*f(z). What is the derivative of t(r) wrt r?\nAnswer: 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljmmlu. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - t = 37, -4*t = -4*c + t + 150. Let g be 64\/(-24) - (-14)\/(-42). What are the prime factors of -3 + (g - -2) + c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9 + 12 + 3*z + 5*z**2 - 5 - 7*z**2. Calculate a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-28))**(3\/31)*(h**(-2\/21))**19)**(-1\/41) assuming h is positive.\nAnswer: h**(-649\/26691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.62 (b) -1083 (c) 517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 44826552.\nAnswer: 44826552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 4*d - 0 + 1, 19 = -5*x + 2*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 975325, 975520, 975713, 975904, 976093, 976280?\nAnswer: 976465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -33b38?\nAnswer: 33b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11332 (base 9) to base 7.\nAnswer: -31022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12809*i = -12850*i - 820 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let n(x) = -x**2 - 11*x + 41. Let v be n(3). Let s(a) = -a**2 + 19*a - 15. Let m(c) = v*s(c) + 4*j(c). Find the first derivative of m(g) wrt g.\nAnswer: 2*g - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - -8. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 349, 675, 951, 1153, 1257?\n\"Answer: -4*u**3 - u**2 + 357*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s - 12. Let w be (-2 - 6) + (5 - 3). Give r(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3118, -7562, -14962, -25312, -38606, -54838, -74002, -96092?\n\"Answer: o**3 - 1484*o**2 + o - 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:04 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -450?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -454753 minus -0.2?\nAnswer: -454752.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y + 0*y + 13*y + 12*y + 12*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/155)\/(16\/90 - 1\/6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 140. Let b be 1\/(-20)*-8 + (-216)\/q. Solve 0 = o + x - 2, 0*o = 2*o - 4*x - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 54105088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 5198 = -5224 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200030 or -21803175\/109?\nAnswer: -21803175\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 4408\/56. Suppose i*q = 84*q - 2035. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/m**(-30\/13))**(-47) assuming m is positive.\nAnswer: m**(-3619\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/13)\/(g*g**1*g))\/(g**(1\/8)*g*g**(8\/3)\/g*g*g))\/(g**(6\/11)*g**(-2\/7)*g*g*(g**(-2\/9)\/g)\/(g*((g*g**(-2\/9))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-197123\/24024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j + 9. Let p(c) = -j*c + 3*c**2 - 3*c + c + 2. Is p(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 0, 3*g = -6*n + n + 20. Suppose 3*z = -3*j + 15, -z - z + 10 = 0. Let d be (3 - n)*(-2 - j). Calculate the highest common divisor of 22 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*w**2 - 3*w**5 - 14*w**2 + (-w + 2*w - 2*w)*(4*w**4 + w**4 - 3*w**4).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/6 + 11*c**2 + 6*c. Find the first derivative of h(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 116 (b) -0.3 (c) -0.4 (d) -433 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k + 37*k - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1554 (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21308 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/((-24563)\/(-440)))\/(4 + -2) - (-26)\/(-91)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100011111 (base 2) in base 16?\nAnswer: -91f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 25*v**2 - 13. What is a(4)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-12)*r))\/r)\/r**(-9)*(r*(r*r**(3\/4)*r)\/r*r*r)\/(((r\/r**(-2\/19))\/r*r)\/r) assuming r is positive.\nAnswer: r**(1873\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 39 and 63677 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2970*p + 158 - 30 = -2978*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = 3*d, 5*d + 10 - 2 = 4*q. Solve -3*o - 20 + 5 = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.61647 tonnes to micrograms.\nAnswer: 8616470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**8\/5040 - m**7\/2520 + m**6\/720 - m**5\/30 + 10*m**2. Let j(o) be the third derivative of z(o). Determine j(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.686 - 0.014. Let q = 8 + d. What is the nearest to 0.2 in -1\/3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18161 and 2794?\nAnswer: 36322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15624)\/(-2232))\/((-1)\/(-3)*-1*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 + 4*x**3 - 75)*(0 + 0 + x**2 + (4 - 1 - 1)*(-3*x**2 + 2*x**2 + 0*x**2) - x**2 + 0*x**2 + 0*x**2 + 3*x**2 + x**2 - 3*x**2 - 4*x**2 + 3 + 2*x**2 + 1).\nAnswer: -12*x**5 + 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let o(q) = -2*q**2 - 2*q - 12. What is -o(a) + 2*s(a)?\nAnswer: 2*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y. Let t(c) = 540620*c. Determine t(l(g)).\nAnswer: -1621860*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 of a day in minutes?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 40 = 5*p, -5*p - 5 = -4*m - 0. Let o be -1*(3\/15 - (-1)\/(-5)). Sort o, m, 1.\nAnswer: m, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*m - 7352, -2*m - 36*l = -39*l - 3684. What is the highest common factor of m and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by -5?\nAnswer: 203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:32 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 11046154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2779 by -11.\nAnswer: 2779\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(32))**2 + -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437321491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 46*o + 267. What is t(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*z - 15. Let r be z\/(-7) - (-16)\/56. Which is the closest to r? (a) -2 (b) 2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(2\/(-20)*95\/(-38)). Let x be 1 + 2 - (o + -18). Solve -10 = -x*a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + o + 3. Suppose -9*h + 7*h + 9 = -3*i, 0 = h + i - 2. Let u(x) = -5*x**2 - x - 2. Determine h*s(z) + 4*u(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:36 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.32, -2\/3, 0, -135 in increasing order.\nAnswer: -135, -2\/3, -0.32, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + 0*w**2)*(3*w - 3*w - 2*w)*(-w**2 - 2*w**2 + w**2) - 2*w**3 + 10*w - 10*w - 7*w**5.\nAnswer: -15*w**5 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 30. Let y = 15 + o. Let u be 49\/28 + 3\/(-2). Which is the closest to y? (a) u (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9226093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-270) + 8\/9. Solve 3 + n = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44960714347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62008 and 2853840.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*k + 9 - 341, -4*v + 4*k - 424 = 0. Let b = 159 + v. Suppose 5*r - b = -5*f + 9, -3*r - 83 = -4*f. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20774 is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -203*i + 31545. Determine b(155).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -12.64593264?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/3)\/(q*q**(-4))*(q**(1\/6)*q)**(-5\/16))**(-2\/57) assuming q is positive.\nAnswer: q**(-53\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 27*j**2 - 25*j + 41. What is the units digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 17 + (-30 - (-8 + -17)) + 24?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 11) in base 12?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 446294 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40040871.\nAnswer: 3, 13, 31, 33119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27188509 to three dps.\nAnswer: -0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14912, -29819, -44724, -59627, -74528, -89427?\nAnswer: -104324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19103 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 6)*(2*k**3 + 2*k**3 - 2*k**3) - k**3 + 18*k**3 - 2*k**3.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246517435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 151*v - 2. Let l(d) = 4*d**2. Calculate t(l(x)).\nAnswer: 604*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-10)*4\/(-10)*(-47)\/13818*-63\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 14 - 2. Let q(h) = -a*h**2 + 16*h - 7*h + 1 - 7*h. Suppose -2*k = -3*b + 5, 5*b + 13 + 12 = -5*k. Calculate q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8001*h + 63871. Give y(8).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 9*h + 79)*((-2 + 0 + 0)*(2 - 5 + 2) - 1 - 2 + 2) in the form v*h + r and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-66)\/(-26) - (-204)\/442 and 107.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 6. Let b be s(3). Let h be (b\/(-9))\/((-3)\/1269). What is the units digit of (2\/(-2))\/((-3)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4748.732 kilometers to meters.\nAnswer: 4748732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/21 - 2150\/(-14). Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -4\/9, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -62285 less than or equal to -62285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -3.4\nAnswer: -44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 0*y**2 + 3*y**2 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106923, -106922, -106921?\nAnswer: -106920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/372000 and -71\/27250.\nAnswer: 40548000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 + 391*j + 21092. Determine h(-41).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 84, 213, 2, 1, -9 in descending order.\nAnswer: 213, 84, 2, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 12*b**2 - 5*b - 27*b**2 + 22*b**2.\nAnswer: 7*b**2 - 5*b - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.4212 micrograms in milligrams?\nAnswer: 0.8844212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n. Let x(u) = 3994903*u. Give j(x(b)).\nAnswer: 39949030*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:16 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/2 - 147547755*u + 4354068001108005\/2.\nAnswer: 5*(u - 29509551)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*z = 11027 - 3690 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 376719.7484 to the nearest 100.\nAnswer: 376700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2022210326 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 + 2*i**3)*(-3 + 0 + 1) - 3 + 3 - i**3 + (i**2 + 2*i**2 - i**2)*(-i - 2*i + i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77873635 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10605?\nAnswer: 3, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2*h - 16. Suppose 8*x - 5*x + 5*l + 36 = 0, 3*l = -5*x - 44. Calculate the remainder when 186 is divided by v(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f*f)\/f)**(3\/31))**(-1\/17) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-22 - (7 - 60)). Put -81, 1, u in descending order.\nAnswer: u, 1, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*k = -812, v + 3*k = 8*k - 827. Let r = v - -428. Find the common denominator of -131\/12 and 2738\/(-1020) + (-44)\/r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let q = -0.5 - -0.1. Let v = q - 0.6. What is the closest to v in 4, r, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, k: 1, y: 5, o: 3}. Give prob of sequence omoy.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -59 (b) -0.8 (c) -2\/11 (d) 1\/2 (e) 2\/13 (f) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 5:59 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*g + 8, -3*h = 2*g - 7 - 1. Let s be (-1)\/((3\/(-1))\/27). Suppose -c = -4*c + s. Solve -2*b = k + h + 2, 1 = c*b - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 55. List the prime factors of (l\/(-7))\/((-30)\/140).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1688 - -1688.0053419. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 7*q = -131801. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. What is the common denominator of -103\/20 and 0 - 29*o\/(-60)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - 4*p + 5*p**2)*(0 - 5 + 6) + 6*p + 7*p**2 - 6*p + 0*p to the form n*p**2 + j*p + v and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1521 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + -1 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4357675 (base 10) to base 15.\nAnswer: -5b126a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(196)\/sqrt(4)*1)\/(sqrt(35)\/(sqrt(125)*1 + sqrt(125))) + 5 + -1)**2.\nAnswer: 320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g**4 - 7*g**3 + 29*g**2 + 153*g + 144. Let y(u) = 6*u**4 + 4*u**3 - 14*u**2 - 76*u - 72. Let a(m) = 4*r(m) + 9*y(m). Factor a(x).\nAnswer: 2*(x - 3)*(x + 2)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160554.4057 rounded to the nearest 1000?\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -135, -364, -677, -1068, -1531?\n\"Answer: q**3 - 48*q**2 - 92*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h\/(h*h\/(h\/(h**8*h)*h)))\/h))*h*h*h)*h*h*h)\/h**(-4)*h**(-4\/5)\/(h\/h**(2\/11)*h) assuming h is positive.\nAnswer: h**(626\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -148, -145, -124, -79, -4, 107, 260?\n\"Answer: j**3 - 16*j - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11323 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three twentieths of a litre in millilitres?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1\/16)*b*b**(-1)*b)\/(b\/b**3*b**(-3\/10)\/b))**12)**(-31) assuming b is positive.\nAnswer: b**(-39897\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10166 and 75\/5746?\nAnswer: 132158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*l - l - 45, 4*r - 47 = 3*l. Suppose -350 = -u - 4*x, 5*u + 18*x - r*x = 1686. List the prime factors of u.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 24. Calculate the remainder when 29 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + sqrt(72)*2)\/(sqrt(162)\/sqrt(2)) - 4*(2 + sqrt(98) + 1))**2 + -1)*-2.\nAnswer: -2990 - 1248*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 4*o. Suppose u - 40 - 4 = o. Is (-1)\/4 + 2871\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(2*j + 0*j + 0*j) + 1 - 1 - 3*j)*(4 + 3 - 6).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 26.845. Let b = -130.845 + q. Let f = -130.9838 - b. What is f rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*y - 5*l, 0 = 4*y - 4*l + 19 + 1. Is -7 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2926, -25519, -86812, -206155, -402898, -696391, -1105984?\n\"Answer: -3225*m**3 - 18*m + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**32*d*d*d*d**10*d*d*d**(-6\/5))**(12\/19) assuming d is positive.\nAnswer: d**(1468\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = b - 69, 2*b = 2*k - b - 65. What is the first derivative of 38923*u**2 - 20 - 3 - k - 38904*u**2 wrt u?\nAnswer: 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/17504 and -155\/2448?\nAnswer: 2678112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459164 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65849172 by 12.\nAnswer: 5487431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 914.3961 + -914. Let b = 0.312 - u. What is b rounded to three decimal places?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1\/41 (c) -22782 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -3 + (44 + -46 - 27) + -1 + 122.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 34*c + 35.\nAnswer: -(c - 35)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d - 3. Let l(z) = -4*z + 2. Let h(i) = -3*a(i) - 5*l(i). Let m be (180\/(-25))\/2 + 3\/5. Let t be 96\/72 + 1\/m. Give h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33303010012 + -11?\nAnswer: 33303010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 25654, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -288*m**5\/11 - 640*m**4\/11 - 398*m**3\/11 - 24*m**2\/11 + 26*m\/11 + 4\/11 = 0.\nAnswer: -1, -1\/4, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 15. Let o be (y\/2)\/(6\/(-8)). Suppose 3*w + 3 = 2*f, -2*w - 2 = 3*f - 13. Solve o*d - 4 = f*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310644?\nAnswer: 2, 3, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.92 rounded to zero decimal places?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 126\/(-7)*(-2)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17904 - -17904.0027907. What is d rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-36))\/(15\/(-9)))\/((-18)\/216)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/6 + a**3 + 5061*a**2 - 2. Let q(u) = -30*u**2 + 17. Calculate 17*k(c) - 6*q(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 17*v = -0*v - 35338. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81068 is divided by 11575.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 5 - (4 + -17 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.285 - 0.369. Round g to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466592?\nAnswer: 2, 7, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15126464411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*v = 39 + 108, 3*a = -5*v - 82. Let r = a - -43. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 343*u + 29. Determine j(-1).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*i**2 + i**3 + 19010 - 19010 as a + d*i + h*i**2 + t*i**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 418938575?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/101? (a) -0.5 (b) -4 (c) -0.3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-7)\/105). Let d(i) = -u*i + 1 - 7*i**2 - 4*i + 11*i**2. Let r be d(6). Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -24.36.\nAnswer: 19.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4\/3*k**2 - 2*k**3 + 4\/3 = 0 for k.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 5*l**2 - 6*l**2. Let c(m) = -4 - 2*m - 7 + 13 - 2. Give u(c(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-168)\/(-36) + (-6)\/14 + (-15)\/63. Solve 0 = c*q - 142 + 138 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c + 4. Suppose -c*m = 4 - 20. Let p = m + -4. Which is bigger: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j + 7*j**5 + 25*j - 4*j**5 wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18487*t**4 - 108565*t**2 + 3 wrt t?\nAnswer: -443688*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58278 divided by -66\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/6*1 - (-20)\/60. Let k be 4\/(-60)*v - (-2)\/(-10). Suppose 4*l + 2*g - 6*g = 96, -2*l - 5*g + 27 = k. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let l(m) be the second derivative of -7*m**3\/6 + m**2 - 3358*m. What is l(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/64 + -113\/320. Suppose -3*l + 5*r + 6 = 0, 8 = -4*l + 8*l - 5*r. Let w be (-3)\/9 + l\/18. Which is the nearest to w? (a) 2 (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/409292 and -45\/986.\nAnswer: 11869468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 + 2495*a**2 - 143670*a - 453600 = 0. Calculate a.\nAnswer: -3, 70, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-15)*(-605)\/(-242).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -239 + -0.0619.\nAnswer: -239.0619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from oophppppghpppcpogccp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 65*c**4\/4 - 7*c**2 + 12*c + 3. What is the first derivative of k(x) wrt x?\nAnswer: 390*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3565 and 12555.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14713911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44424 - 88845\/2. Factor 3*l**3 + s*l**4 - 3*l - 6*l**2 + 9\/2.\nAnswer: 3*(l - 1)**2*(l + 1)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/2 + 1347*i**4\/2 + 4830*i**3 - 18786*i**2 - 166392*i - 229824 = 0?\nAnswer: -7, -4, -2, 6, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let o(a) be the second derivative of 1\/8*a**2 + 1\/24*a**h + 0 - 1\/80*a**5 - 3*a - 1\/48*a**4. Let o(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q + 6*q - 2*m - 16, 2*q - 5*m = -17 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-42))\/((-365)\/219).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12332 - 12249. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Suppose 0 = -z*p + p - 5. Let t = -4 - -19. Solve -2*a - p = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -116*x + 99. Let n(t) = 29*t - 25. Let q(k) = -2*a(k) - 9*n(k). Is q(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.272, -3\/10, -7, -4\/3 in decreasing order.\nAnswer: -0.272, -3\/10, -4\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 45, 26, 2, 1, -5 in descending order.\nAnswer: 45, 26, 2, 1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-353999956)\/(-10) - 6\/10. Suppose 5*h - y = -3*c, -3031110 = c - 5*h - 14831115. Round c to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*w = -103 + 1951 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, t: 8, i: 4}. Give prob of sequence ttit.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -23355 >= -23702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*a + 1, 0 = 4*b - 3*b + 5*a - 1. Suppose -3*y = 5*l + 65, -65*l + 68*l + 2*y + 41 = 0. Sort b, -3\/8, l in descending order.\nAnswer: b, -3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -t - 22, 10366*t - 3 = 5*z + 10364*t - 37 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -297440 divided by -29744\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14060624 times 0.4\nAnswer: -5624249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -449 - (-44 - -52). Let o = g + 712. Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 8. Let y(o) = 5*o - 11. Let l be y(-8). Let b = l + 44. Let q be d(b). Is q > 12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1.07.\nAnswer: -0.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -49*r**2 - 3189*r - 253. Calculate y(-65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k + 4663 + 7522 = 246*k - 16030 for k.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1252019*i - 12520188. Determine l(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 + (-3 - -8). Suppose 2*u + p - 12 = -o, 5*p - 12 = 4*u. Suppose -h = h - u. Which is the third smallest value? (a) -1\/5 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -18*v**2\/7 + 58341*v\/7 - 1389 = 0?\nAnswer: 1\/6, 3241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 4*m + 186, -5*k - 293 = -m. Suppose 0 = 31*y - 6*y + 925. Let g = y - k. Calculate the remainder when 61 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 49058 = -48174. What is the greatest common divisor of 118 and d?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7252182, 7252070, 7251958, 7251846?\nAnswer: 7251734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71976473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:59 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u + 12. Let a(z) = -18*z + 34. Let b(v) = -6*a(v) + 17*l(v). Let d(g) = 2*g. Give b(d(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*l - 2484723 = 0, a + 0*a + 1242356 = 4*l. Let p = a + -17757640. What is p rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5736, 5725, 5700, 5661, 5608, 5541, 5460?\nAnswer: 5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 706.9023 millennia?\nAnswer: 706902.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -d - 2153*r + 2150*r, d + 2*r = -15. Sort -58\/5, -0.3, -4, 4, d in ascending order.\nAnswer: -58\/5, -4, d, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1469271 and 10392241.\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 4, n: 5, m: 2, e: 2}. What is prob of picking 1 m and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -12*q - 73. Suppose -2*g - t = -q, -4*g + 56 = -4*t - 8. Let d(v) = -v + 17*v - g*v + 0*v. Let r(l) = -23*l. What is r(d(y))?\nAnswer: -69*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -4, -1\/4, 1, 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5*-2*(21364\/(-10) + 246\/(-123))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038849809.\nAnswer: 23, 45167383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 429, 438, 451, 468, 489?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2540*x + 6444*x + 8136*x = 337120 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.5377m in kilometers?\nAnswer: 0.5725377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*k**4 - 2 + (-116*k**4 + 92*k**4 - 868*k**4)*(-3 + 2 + 2) + k**4 + 19*k - 19*k as w*k**2 + s*k**4 + v*k**3 + u + p*k and give s.\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-9))\/((-5)\/45*-6). What is the second derivative of 0*o - 4*o + 71*o**4 - 43*o**5 - 71*o**c wrt o?\nAnswer: -860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 14 + 0*q - 3\/2*q**2. Let r(o) = -8*o. What is m(r(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**3 + 0*d**3 - 13*d**3 + (6 - 1 - 4)*(-d**3 - d**3 + 0*d**3).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = h - 5. Let l = 0 + 3. Let r(z) = 0 + 4*z + 2*z**3 - 4*z**l + 3 + z**2. Let p(m) = 6*m**3 - 3*m**2 - 11*m - 8. Give h*r(c) - 4*p(c).\nAnswer: -2*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3*p*v - 5*l**3*p + l**3*v + 382*l*p*v - 800*v wrt p?\nAnswer: -l**3*v - 5*l**3 + 382*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 1 (b) 22 (c) 8 (d) 59 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -406683, -406670, -406655, -406638, -406619?\n\"Answer: t**2 + 10*t - 406694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 - (-12 + 7 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 15*g + g**2 + 11*g + 6. What is the units digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 62650.6mm?\nAnswer: 62.6506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z + 15*z - 83*z**2 + 3*z + 78*z**2 wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/19 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3298, 0.2, -1\/10, -25\/4, -1\/5 in decreasing order.\nAnswer: 3298, 0.2, -1\/10, -1\/5, -25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, p: 2}. What is prob of sequence pp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-6))\/(6\/(-8)). Let w be (-186)\/(-54) + -4 - -1 - 5160\/(-54). What is the highest common divisor of w and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 359.7 - 359.7. Let i = 0.8 - -2.2. Which is the closest to v? (a) i (b) -5 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179437760 by -32840.\nAnswer: 5464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -1.04, -1368?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/418159 and -43\/4371.\nAnswer: 1254477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 - 36*j**4 - 2*j**3 + 36*j**2 = 0. Calculate j.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -19. Solve x*w = 4*a - 33, -5*w - 2*a - 30 = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7)\/q)\/q)\/q**13)**(9\/2)*((q**(-4)\/q)**(2\/15))**(1\/15) assuming q is positive.\nAnswer: q**(-43363\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**3 - 16*b**3 - 2*b**3 + 6*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 8. Let w = f + -7. Suppose 0 = 2*u + 3*u - 20. Solve u*b - 19 - w = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 - 144. What is the second smallest value in 0.04, h, -2\/9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let s(b) = -b**2 - 6*b + 29. Let x(f) = -f**3 + 6*f**2 + f + 12. Let l be x(6). Let w(y) = l*h(y) - 2*s(y). Is 47 a factor of w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 4, l: 3}. Give prob of sequence nna.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -93.\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-6)\/8)\/(18\/(4320\/(-1320))).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 400 or 1994\/5?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(sqrt(1573) + sqrt(1573) + 2 + sqrt(1573))*-4 + -4 + 2)**2.\nAnswer: 8448*sqrt(13) + 906304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8112633 years?\nAnswer: 0.008112633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*g**3 + 14*g**3 + g + 3*g**2 + 27*g**3 + 0*g**2 - 77*g**3 as o*g**2 + s + i*g + l*g**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/2 - u**3\/2 - 2*u**2 + 2*u = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 277748*d.\nAnswer: -4*d*(d + 69437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 - (-15)\/(60\/66256) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-15))\/(4\/(-10)). Suppose 0 = -l + o - 10. What is the units digit of 2\/l - (-202)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) - (-1066)\/10. Suppose -q + 4*u - g = 0, -2*q = -q + 4*u + 147. Round q to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a. Suppose -5*i = -15, a = -z - 3*i - 0*i + 6. Is z at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13174.8 to the nearest one hundred.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 - -377. What is the remainder when 101 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*a + 5*m, -602*m = 4*a - 600*m + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1140 = 77*r - 81*r, 4*r - 1520 = -4*a. Calculate the highest common divisor of a and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, n: 2, z: 2}. What is prob of picking 1 n, 2 z, and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 804874 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -0.01 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 3*k + 5*k)*(-1 + 1 - 3)*(-1 + 1 - 4) to the form j + o*k and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1 - -2) + (12 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let d(r) be the third derivative of 0 + 11*r**2 + 1\/60*r**5 + 0*r + 0*r**4 + 0*r**3. Give d(a(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725678957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r - m, -r + 4*m + 17 = -m. Solve -r*y - 4 = -6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 4*w + 1. Let r be j(3). Suppose -r*t = y - 4, -4*t = -0*y + 5*y + 12. Let s be 4\/t + -3 - -9. Solve 4*q + s = 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 13. Suppose -5 = -a - w. Suppose -a*c = c. Which is greater: c or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11)*-2 + sqrt(11) + (-1*sqrt(77) - sqrt(77))\/sqrt(7))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68786, 68787, 68788, 68789, 68790?\n\"Answer: x + 68785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 165*z**5 + 15129*z**4 - 20223*z**3 - 12297*z**2 + 23922*z - 6696 = 0.\nAnswer: -93, -12\/11, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and -0.757?\nAnswer: 11.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9855847 tonnes to nanograms.\nAnswer: 985584700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632874.\nAnswer: 2, 3, 11, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 4*g + 5. Let n be y(2). Sort 0.3, -1\/3, n in descending order.\nAnswer: n, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o + 3. Let m(s) be the third derivative of -19*s**4\/2 - 19*s**3\/6 + 291*s**2. Determine -19*l(k) - 3*m(k).\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 2, w: 3, r: 15}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/6 - -5\/3. Let k = -59 + -90. Let r = -151 - k. Which is the nearest to 2\/27? (a) r (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217912902 a multiple of 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*u - 0*u + 6, v = -3*u - 7. Calculate the least common multiple of v and -14 + ((-6)\/(-3) - -155).\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*i = 241*i - 145*i - 4746 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6834032 and 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012 (base 6) to base 7.\nAnswer: -10403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66.9 + 11.9. Let d = l + 54. Sort d, -2, 9.\nAnswer: -2, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.6363 and 0.07.\nAnswer: 1.374541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20308.2583 rounded to the nearest ten?\nAnswer: 20310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207593726, 415187443, 622781160, 830374877, 1037968594, 1245562311?\nAnswer: 1453156028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 5*h**3 + 53 - 10*h**4 - 1 - 34 - 7 - 2*h**2 to the form d + t*h + w*h**3 + q*h**2 + u*h**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 17 - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 8*m + 3. Let q(v) = 3*v**2 - 24*v + 6. Determine -7*l(x) + 2*q(x).\nAnswer: -x**2 + 8*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75564625 and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 67*k - 134*k + 69*k. Let d(g) = -g**2. What is d(f(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-187)*((-765)\/10)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11240 is divided by 1122.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*r - 40, 2*o - 3*r + 0 - 38 = 0. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000465329 to six decimal places.\nAnswer: -0.000465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1010010?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11910 + -4897. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 9*o**2 + 19*o - 76. Calculate l(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 370725162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 2*v. Let b be l(-4). Which is smaller: b or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/228 and 10\/(26600\/(-2129)) + (-8)\/(-14)?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61315188 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - 0.96. Let f = p + 0.8. Let n = f + -1.7. Which is the second biggest value? (a) n (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.248901ug to grams.\nAnswer: 0.000000248901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5134125, 5134112, 5134077, 5134008, 5133893, 5133720, 5133477?\n\"Answer: -2*x**3 + x**2 - 2*x + 5134128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 5*g**2 + 3*g - 54. Let b be f(7). Let v = 2 + 15. Let l = v + b. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-21))\/(((-2)\/(-5))\/((-8)\/(-10))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 - 1046\/9. Suppose -2*s + 3 = -3*s, 0 = 3*j + 5*s - 21. Let r be (j\/9)\/4*1. What is the nearest to 0.1 in r, -5, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00845 + -0.211582. Let c = 259.22 - 259. Let q = s + c. Round q to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + c + 27 = 13, 2*c + 6 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6*s**4 - 2015*s**3 + 12752*s**2 + 33516*s = 0.\nAnswer: -342, -2, 0, 49\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/6)\/((-250)\/300))\/13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - 6396\/((-36)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 386 + -81?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.748 * 530.2.\nAnswer: -4107.9896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 13*v**2 - 12*v + 4. Let a be d(14). Suppose 0*o = 2*w + 2*o - a, 5*w + 4*o - 83 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, -5, -1, -2, 14 in decreasing order.\nAnswer: 14, 13, 5, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/15*(-20)\/125*(-10)\/84.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -7*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.5, -111\/4, -1420, -1, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*-1*182\/1638?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m + 156*m - 853*m**2 + 855*m**2 in the form s*m + p*m**2 + q and give s.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 564999.81 to the nearest one thousand.\nAnswer: 565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75788033 to the nearest integer?\nAnswer: 8706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-66 - (-58 - -38))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85652027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 7*h**2 - h - 23. Let v be w(-6). Let n = -60 - v. Let b(q) = 18*q**2 - q - 24. Is b(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 3*a + 6. Let f(q) = -q**2 + 2*q + 5. Let l = 845 - 848. What is l*b(h) + 4*f(h)?\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**3 + 8*k**2 - 263*k + 1559. What is f(6)?\nAnswer: -1459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Suppose 0*s + 4*s - 8 = 0. Suppose -2*n + s*j + 86 = 0, n = -n + 5*j + 89. Calculate the highest common factor of y and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 1 + 9*b**2 - 7 + 6.\nAnswer: 9*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*d**4 + 2)*(-3*d + 3*d + 3*d) - 4*d**4 + 4*d**4 + 7*d**5.\nAnswer: 13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 + 12*v + 143. What is f(-12)?\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(((-18)\/22)\/(-9)). Solve 0 = q - t + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q + q = -18*q + 805 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(-2\/5)*d)))**(-41))**(1\/22)*((d\/(d\/d**(-4)))\/d**6)\/(d*d*d**0*d)**(-37) assuming d is positive.\nAnswer: d**(5309\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 + 275.43. Let q = -1.42911 + j. Round q to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 10. Let n be g(7). Let s(w) = 12 - 3*w**3 + 7 - w + 4*w**3 - 2*w**n. What are the prime factors of s(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 s when three letters picked without replacement from xghghggxgsxhhxhghx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 15. Solve -15 = -3*b + 2*f, 5*b + v = 3*f + 38 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**4\/4 - 4*r. Let p(t) = -t + 1. Let n(y) = 3*y - 4. Let m(s) = n(s) + 4*p(s). Determine w(m(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 987347 (base 11) to base 3\nAnswer: 2222002022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 34 = -4*u - 99, u = -2*r + 26. Suppose -r*d + 10*d = -768. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1962 - 1752. Calculate the greatest common divisor of w and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144 + 209. Let s = 38570 - 38505.067. Let h = v - s. Round h to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*q**6*s - 27*q**6 + 2*q**2 - 15*s wrt q?\nAnswer: -1440*q**3*s - 3240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2115\/(-195) - -21)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e2 (base 15) in base 3?\nAnswer: -21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f**2 - 16*f**2 + 7*f + f - 8. Let l be r(6). Suppose -5*u + 15 = p - 8, 4*u = l*p - 20. Solve -v + p = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p = -5*u + 601, 2982 = 5*p + 2*u. Suppose 6*g = -44 + p. Suppose -9*t + g = -5*t. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - v - 5 = 0, 2052083 = -3*t - 4*v + 2052069 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 4131?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554853714 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a - 3*a**2 + 0*a**3 + 1\/15*a**5 + 0 + 0*a**4. Let g(r) = -2*r**2. Determine u(g(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:40 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*54\/(-72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4203 = 513*y - 6570 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 4*c**2 + 2*c - 6*c.\nAnswer: -4*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281351?\nAnswer: 3, 427117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465880 is divided by 65.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25914 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - s - 1)*(5 - 5 - 2)*(-13*s + 27*s - 16*s + 4).\nAnswer: -4*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 x when four letters picked without replacement from xsjxsxuxuxsxs?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 6*a**3 - 8*a**3 - 2*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, -265, -1809, -4867, -9949?\nAnswer: -17565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 74. Let v be (-6726)\/(-4) + 11\/f. Let c = v + -914. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alnx when four letters picked without replacement from {v: 1, l: 3, x: 3, j: 2, a: 2, n: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 35*c**2 + 10. Let v(m) = -52*m**2 - 15. Let i(s) = -7*j(s) - 5*v(s). Differentiate i(t) wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from {o: 7, r: 4, q: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, -0.4, 3, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025, 1022, 1017, 1010, 1001, 990, 977?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340147 or -340145?\nAnswer: -340147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 493*j**2 + 7*j + 5. Let r = -209 + 211. Is b(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31680 and 0.044.\nAnswer: 1393.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01858429941 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3631.84795 + 3632. What is y rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10573000 rounded to the nearest one hundred thousand?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:28 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272*c**2*x**2 + 453*c**2*x wrt x?\nAnswer: 544*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 3)*(-17*x - 221*x + 36*x) - 1 - 2*x + 1 + (-2*x + 0*x + x)*(-5 + 2 + 2) + 43 - 43 + 3*x)*(x - 2 + 2).\nAnswer: 204*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14721, 14711, 14687, 14643, 14573, 14471, 14331?\n\"Answer: -x**3 - x**2 + 14723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -139, -192, -249, -310, -375?\n\"Answer: -2*f**2 - 47*f - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 38 = -9*b. Suppose 11 = 2*z - b. Let i be ((-8)\/(-6))\/(5\/z). Solve 0 = 2*t + l + i*l + 3, -5*t - l - 19 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 93*v**3 - 42 + 25.\nAnswer: -93*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k + 10*k + k**2)*(42 + 14 + 31).\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14570 and 7595.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, 1 in descending order.\nAnswer: 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 387?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 129*f + 267. Let o be w(2). Sort o, -1, -118, 4 in descending order.\nAnswer: o, 4, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 + 44*x\/9 - 170\/9 = 0 for x.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 442489 times -4\nAnswer: -1769956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2036280 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 191, -2, 1, 13.\nAnswer: -5, -2, 1, 13, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 5*y**4\/12 - 5*y**3\/3 - 8*y. What is the second derivative of i(n) wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15080 less than -2.157?\nAnswer: -15082.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -47.9?\nAnswer: 14.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459632119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3936\/9 + 75\/(-15) + 42\/9. What is the highest common factor of 69 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-5)\/4)*(-35)\/(-63)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - 2*l**2 + 0*l - 1 + (-4*l + 5*l - 3*l)*(2*l - 4 + 4) + 2*l**2 - 6*l**2 + 3*l**2.\nAnswer: -7*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.195032 take away 1784.4?\nAnswer: -1752.204968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 9*z. Let o(h) = -2*h**3 + 7*h**2 - 5*h + 7. Let m be o(3). Let d(k) = -k**2 + k. Calculate m*l(f) + 4*d(f).\nAnswer: 2*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 35. Suppose 0 = 5*c + o - 97. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 1362*q - 137294. Calculate c(-123).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 30\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000084171 rounded to seven decimal places?\nAnswer: 0.0000842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1551962?\nAnswer: 1551962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4564466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 18 = -2*k, -20*k + 24*k = -2*d - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-372)*4*1*50\/(-20).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21012 and 6798?\nAnswer: 231132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84.5 - -69. Let t = u + 15.8. Which is the second smallest value? (a) 1 (b) t (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 143, 295, 457, 635, 835, 1063, 1325, 1627?\n\"Answer: q**3 - q**2 + 148*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(-2*(sqrt(7920)\/sqrt(5) + sqrt(1584)*-4))**2.\nAnswer: -114052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308932.\nAnswer: 2, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-2)*(-7)\/((-420)\/48).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/60 + h**4\/12 + 55*h**3\/3 + 55*h**2 + 1. Let i be w(-9). Let q(z) = z**2 - 10*z - 14. Give q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 19. Calculate the greatest common divisor of i and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12002102 - -2312?\nAnswer: 12011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**3 - 403*c**2 + 3151*c - 115. Calculate p(126).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8800 - 2095?\nAnswer: -aa895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -85, -231, -435, -697, -1017?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (2 - -1 - 1)) + -2 + 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.967 + 0.033. Let m = r - 25. Which is the third biggest value? (a) m (b) 2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -949\/183 - 9\/61. Find the common denominator of z and -113\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/90 + 19*h**4\/3 + 1444*h**3 - 66*h**2. Solve c(x) = 0 for x.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65545\/44254 - -281\/218. Let l = 11\/29 - o. Solve -l - 2\/7*t + 2\/7*t**2 = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*z + 18, 4 = -2*y - 0*y. Let r be (15 - 2)\/((8\/14)\/z). Calculate the highest common factor of 26 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g - 10. Let u(k) = -k**2 - k + 1511. Give u(r(y)).\nAnswer: -36*y**2 - 114*y + 1421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 + 4*g - 3. What is i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(13 + (-9)\/1). Which is smaller: 4.5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.2 + -32.1074601077.\nAnswer: -20.9074601077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.5 (c) 18 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 912 and 0.07?\nAnswer: 63.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -153\/5 in 4, -105\/8, 0.53, -0.5, -2\/3?\nAnswer: -105\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**8\/448 + w**7\/140 + w**6\/160 - 7*w**2. Suppose f(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11502700 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/44 and (30\/(-16) + (2 - 0))*902\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-2 + 1))*223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 782648. Let h(f) = f. Give h(v(t)).\nAnswer: 2*t + 782648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113367 and 711419?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*n - 11 = 4*b, 7 = 5*n - 4*b. Let g(a) = a + 1. Let h be g(-9). Let v be 3\/4 + 2\/8. Put v, h, n, 4 in increasing order.\nAnswer: h, n, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(d + 2*d + 0*d) + 97 - 97 - 4*d)*(-4 + 2 + 3 - 3 + 1 + 0 + (1 - 3 + 0)*(2 - 2 + 2))*(-3 + 0 + 1).\nAnswer: -100*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0.1, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 307730*i - 4734887645.\nAnswer: -5*(i - 30773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**2 - 16 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-16))\/((-3)\/4)*854\/20496.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1139, 3, 4, 5, 2, 57, -5 in ascending order.\nAnswer: -1139, -5, 2, 3, 4, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4.1 (b) 0.13 (c) -4 (d) 0 (e) -1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 1242, 1861, 2476, 3087, 3694, 4297?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -21896225.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2354772 and 83\/98838.\nAnswer: 134222004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -41*b**2 + 5*b. Let s(a) = 294*a**2. Calculate g(s(m)).\nAnswer: -3543876*m**4 + 1470*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-43)\/(-9) + (-400)\/(-18). Let q = l + -22. Suppose q = 4*h - 30 - 10. Solve 0 = 2*d - z - z + h, 0 = 3*d + 3*z + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x)**(-46)*x**(-2\/5)*(x\/(x**0*x))\/x*x*((x*x**(-2\/5))**40)**(-1\/9) assuming x is positive.\nAnswer: x**(-1426\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -39, -50, -55, -54, -47, -34?\n\"Answer: 3*p**2 - 26*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:04 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 954195 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 4) + 2 + 3 + -176 + 170?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*(-26)\/(-234))\/(0 + -2).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1734 = 37*b - 3*b. Suppose -u + 199 = -b. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(114)\/((sqrt(72) - (sqrt(72) - (sqrt(72) + -3*sqrt(72))))\/sqrt(12) - sqrt(6)) - (sqrt(76)\/sqrt(4) + -1 + -4)).\nAnswer: -5 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 21 = r. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3949 = 124*q + 5*q + 437 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*h*p**4 + 14*h*p**3 + 8*h*p**2 + 2*h - 2*p**4 + 72*p**2 - 1 wrt p.\nAnswer: -1008*h*p + 84*h - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1382)\/5640 + (-31)\/62. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b3 (base 12) to base 2.\nAnswer: 1000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1849 + 1849 - 93*h.\nAnswer: -93*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1746 + 10 = -434*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -8 - -4 - -2) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 3*k + 22, -5*k + 20 = 0. Let l = 2 - 2.5. Let r be ((-20)\/(-16))\/(40\/(-24)). Which is the third smallest value? (a) l (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43049, -86070, -129075, -172058, -215013, -257934?\n\"Answer: f**3 + 2*f**2 - 43034*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4010.5541 and 0.04.\nAnswer: 4010.5941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oex when three letters picked without replacement from {o: 1, u: 2, x: 2, e: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 63, 78, 73, 42?\n\"Answer: -s**3 - s**2 + 39*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -96*l**2 - 25562*l + 70486. Give p(-269).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 + 490*w - 180*w - 1571*w as v + n*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:41 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/20*15\/(-6). Suppose 9*m = 11*m - t. What is the tens digit of (m - -1) + -3 + 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/5 - 870562*p**2\/5 + 94737821374*p\/5 - 663122092766\/5 = 0. Calculate p.\nAnswer: 7, 217637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17.13 and -553.4624?\nAnswer: 570.5924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -2\/7, 264\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 5, 46, 17 in descending order.\nAnswer: 46, 17, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -144, -140, -134, -126?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*d**3*n - 163140*d**3 - 143*d**2*n**2 wrt n.\nAnswer: 80*d**3 - 286*d**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - -12. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 31 = 3*u, -2*u + u - 12 = 2*z. Suppose -10*x + 0*x + 260 = 0. Let o = x + z. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 305*w**2 - 54. Let g(n) = -101*n**2 + 19. Determine 4*a(y) + 11*g(y).\nAnswer: 109*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 16. Let i = -11 - k. Let q = 103 + i. Round q to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n + n)*(-2 + 1 + 2) - 686*n + 156*n - 579*n.\nAnswer: -1107*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 9*x + 7. Let k be g(-9). Let u be k\/((-3)\/(1*-3)). Let w = u - 1. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1594*p**3 - 11*p**2 + 3*p**2 - 6*p**2 + 28*p**2 - 2 - p - 12*p**2 to the form h*p + q*p**3 + x + k*p**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2722 + -2631.92. What is p rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 4 = -14*p. Suppose -3*o - 2*r + 3 = 11, -p*o - 4 = 2*r. Let m be (-3 - 428\/(-20)) + o\/10. What is the greatest common factor of 36 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 9*f + 3. Let o be j(-9). Suppose -2*n - 2*b = o*n - 17, 0 = n - 2*b - 13. Solve n*i + 4 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88485?\nAnswer: 3, 5, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -868+-28562226591\nAnswer: -28562227459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-32)*44\/11.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22912 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/19, -0.3946, 1.323 in ascending order.\nAnswer: -0.4, -0.3946, 2\/19, 1.323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.71 less than 0.08?\nAnswer: 7.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 5187874?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a + 4*a)*(-2*a - 2 + 2) - 3 + a**2 + 3 + 2*a + a**2 - 2*a + 4083*a**2 - 126*a**2 + 6198*a**2 to the form d + w*a + r*a**2 and give r.\nAnswer: 10153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2813*k**3 - 953*k**3 - 902*k**3 - 955*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -124983\/20 or -6250?\nAnswer: -124983\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 5*i**2 - 3*i - 2. Let y(d) = 4*d**3 - 6*d**2 - 3*d - 2. Let l(f) = -4*s(f) + 3*y(f). Let n be l(-1). Solve -v = -6*v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 + 15*k + 8. Let m be a(-8). Suppose -1452 = 204*c - m*c. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. What is the closest to v in -4, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0 + -1 + (-1 - -1). Which is the closest to 1? (a) -8 (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 28 = -15*k. Let h be k\/(-9) + 3 + 2\/(-3). Suppose -f = -0*f. Solve -h*s + 7*s = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9808 - 0.0968. Let q = 3.072 - 0.442. Let w = j - q. Round w to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:27 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25.01 * -6.33\nAnswer: 158.3133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4121*z**3 - 787*z**2 + 96*z - 12. Let x(o) = 4122*o**3 + 788*o**2 - 80*o + 10. Let n(a) = -6*x(a) - 5*y(a). Find the third derivative of n(i) wrt i.\nAnswer: -24762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -642 + 648. Suppose i*a - 11*a + 10 = 5*c, 3*c = 4*a - 22. What is the remainder when 30 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51 from 40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3909438 and 14768988.\nAnswer: 132920892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Suppose 2*k + 0*i + 5 = i, -f*k - 5 = 5*i. Is 15 a factor of 1170\/(-27)*3\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617969020 rounded to the nearest 1000000?\nAnswer: 618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 + z**2 - 1. Let h be a(1). Suppose h = -24*t + 25*t. Let s(c) = -c**2 + 15*c + 55. Calculate the lowest common multiple of s(17) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**(-9)*g)\/g*g)\/g)\/g**(-10))**13*g*g**(2\/3)*g**(5\/4)*(g**2\/g*g)\/g**(-4) assuming g is positive.\nAnswer: g**(575\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 352.7, 0.5, 5, -2.1 in ascending order.\nAnswer: -2.1, 0.5, 5, 352.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/4 + 49*p\/2 + 2499\/4 = 0.\nAnswer: -21, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigegigeeiigg. What is prob of picking 2 i?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/(-329)*-70*9\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 374 and 238.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436.21 centuries in millennia?\nAnswer: 243.621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/3)*y)\/(y\/y**(-3)))**(2\/9) assuming y is positive.\nAnswer: y**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20797446, -3, -1 in decreasing order.\nAnswer: -1, -3, -20797446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 83 - 80 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -12)\/(3\/(-2)). Let l(h) = h**2 + 7*h - 8. Let t be l(d). Find the third derivative of t*k**6 + 3*k**2 + k**6 - 4*k**6 - 3*k**6 wrt k.\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, -0.25 in ascending order.\nAnswer: -25, -4, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/4)*c*c**19 assuming c is positive.\nAnswer: c**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 1210, 0.4, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 17360?\nAnswer: 52080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50b (base 14) in base 11?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6661865, 6661867, 6661869?\nAnswer: 6661871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 60, 5, 6 in ascending order.\nAnswer: -9, 5, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.110899 and 30.\nAnswer: 3.32697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o - 3*x + 6374 = -20*o, 2*o - 3*x = 2558. What is the remainder when o is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 439\/15, -3, -1224?\nAnswer: -1224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -2*b**6\/15 - 7*b**5\/5 - 65*b**4\/12 - 25*b**3\/3 + 190*b. Let y(o) = 0. What is o?\nAnswer: -5\/2, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57632.8 days to milliseconds.\nAnswer: 4979473920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 23147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 18 = -14. Calculate the lowest common multiple of (-3)\/1 - (2\/7)\/((-1)\/77) and (-2)\/6*(r - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1091*w + 3096. What is the thousands digit of j(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + y + 1. Let u(m) = -2*m**3 + m + 1. Give 5*t(j) - 6*u(j).\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -27*j**2 - 25\/12*j**4 + 0*j + 0 - 3*j**3. What is the first derivative of p(w) wrt w?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 3. Let y be 10\/(-4) + (-6)\/4. Let a(p) = -p - 4. Let g(h) = y*l(h) - 3*a(h). Let t(f) = -5*f. What is t(g(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 6. Suppose -6 = -l + x. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3927538?\nAnswer: 2, 1963769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 10. Let d be j(8). Suppose -4*l = -d*l - 10. Suppose 4*m = l*m. Solve 2*r - 7*r = m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6845 - 4255. Round k to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 - 2*j**5 - 3*j**5 + (-3*j + 0*j + 0*j)*(2*j**3 - 12*j**3 + 0*j**3)*(j - 2*j + 3*j)*(-1 + 1 + 2).\nAnswer: 119*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 11. Let z be p(8). Let q(j) = -3 - 3*j - 3*j**2 + 2*j**2 - z*j. What is the units digit of q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -17*r**5\/20 - r**4\/3 - 2*r**3\/3 + 3*r**2 + 8*r + 20. Let s(j) = -j**2 - j + 1. Give -4*s(n) + z(n).\nAnswer: -17*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 1067712*b**2 + 6406179*b + 5338470.\nAnswer: 3*(b + 1)*(b + 5)*(b + 355898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 138 = c, 3*c + c = h + 500. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10726.96 - 225.04. Let a = y + 10953.3907. Let n = a + -1.4. Round n to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6830713*g**3*y**2 - 2*g**3*y - 49*g**2*y**2 - 44712*g**2*y + g*y**2 + 10*g*y + y**2 wrt g?\nAnswer: -40984278*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 3. Let o be v(5). Let s(z) = z**3 - z**2 - z - 2. Let b be s(o). Find the second derivative of b*a**3 + 2*a + 2*a**3 + 0*a wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18874 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 5 - (-4 - (-10 + 16 + 6))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279 is divided by 106?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -n - 14. Let i(k) = 7*k**2 + 6*k - 5. Let x(j) = -j + 1. What is n*x(m) + i(m)?\nAnswer: 7*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2763628 and 24398.\nAnswer: 2218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*l + 48, -10 = -n + 6*l - 3*l. Suppose 0 = 3*c - 64 - 41. What is the remainder when c is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**3 + 168*q**2 + 2*q**3 + 2*q**3 - 136*q**2 + 64*q**2 + 2*q as t*q + g + n*q**3 + d*q**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26258.31862 + -26260.6. Let z = d - 3.71866. Let f = z - -6. What is f rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5580 and 42160.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t + 13. Let f be b(4). Solve 4*k = 1 - f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -71.8. Which is the biggest value? (a) 6 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5669443203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-240)\/112)\/((-4)\/7))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/361 and 101\/315704.\nAnswer: 5998376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = -3*x. Let q be (0 - x)\/((-9)\/(-6)). Solve d + 7 = -3*g - 1, -4 = q*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -193.63708 and 1.10108.\nAnswer: -192.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 519, 1182, 2111, 3306, 4767, 6494?\nAnswer: 8487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25934?\nAnswer: 2, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2138*c**3 + 805 - 802 - 2143*c**3.\nAnswer: -5*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2. Let o(b) = b + 9. Calculate -18*n(y) - 4*o(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/3)*q\/((q**(-5)\/q)\/q))\/((q**(3\/2)\/q)\/(q*q**(-3\/8))) assuming q is positive.\nAnswer: q**(227\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -2. Let b(r) = r. Let f(y) = -4*y**2 + 3*y. Let i(x) = p*b(x) + f(x). What is the second derivative of i(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1995 and 621471?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 3*s**2 - 3. Let o(j) = -2*j**3 - 4*j**2 + 4. Suppose 8*t - 2*t = -12. Determine t*o(h) - 3*z(h).\nAnswer: -2*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 5*b + 83. Suppose -4*h = y + b, -3*h - 6 = 2*y + 17. What is the hundreds digit of (-4)\/(-10) - (y - (-743)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.95, 3, -1.7, -1 in decreasing order.\nAnswer: 3, 0.95, -1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/53, -1\/3, 0.3, 1\/4, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 - 89*t**4\/5 + 387*t**3\/5 + 81*t**2\/5 = 0 for t.\nAnswer: -1\/5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48681700 rounded to the nearest one hundred thousand?\nAnswer: 48700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15168 is divided by 106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16029 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 0*(-4)\/(-12). Suppose 0 = -4*d + 2*l - 0*l + 122, 137 = 4*d - i*l. Let v be 162\/42 - (-4)\/d. Solve 3*x - 14 = -v*z, 3*z - 5*z - 5*x = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -877.4 - -877. Put -0.49, 3, b, 2, 0.5 in decreasing order.\nAnswer: 3, 2, 0.5, b, -0.49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.095 + -14.495. Let z = j - -14. Let v = z - -0.472. Round v to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 10*d**3\/3 + 3*d**2\/2 - 6*d + 13. Let g be k(2). What is the highest common factor of 100 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141\/596 - 2\/149. Which is the nearest to -0.1? (a) f (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:02 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 6*s + 18*s**2 + 6*s - 21*s**2 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 - 3*w - 520. Give b(0).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/3)*r**8)**(-1\/5)*((r\/(r*r\/(r**(-2)*r)))**(1\/2))**(-3\/20) assuming r is positive.\nAnswer: r**(-79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z**4 - 5*z**4 + 8*z + 19 - 21 - 3*z**3 to the form t*z**4 + d + c*z**3 + o*z + l*z**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 8. Let t be g(0). Let y be (-9)\/(-2)*t\/(-6). What is the third derivative of -x**2 - 3*x**6 + 2*x**6 - x**y wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -136349*l + 2454288. Determine b(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Suppose 0 = u - 2, 7*z - 4*z - 4*u + 5 = m. Calculate the highest common factor of z and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 40*o**2 + 269*o - 285. What is r(-46)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4591 is divided by 430.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k + 4 - 1 - 3.\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7126.5 times -0.5\nAnswer: 3563.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*l**3*q - 4*l**3 + 5*q + 39 wrt l?\nAnswer: -225*l**2*q - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6393.577 decades to centuries.\nAnswer: 639.3577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74535783 + 74535801.0000019. Let d = 18.13 + -0.13. Let a = d - y. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -178288?\nAnswer: -178286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(768))\/((sqrt(162)\/sqrt(3)*2)\/sqrt(9)).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645482.\nAnswer: 2, 29, 31, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053312 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 17*v**3\/6 + v**2 - 642*v. Let f(y) = -52*y - 6. Determine 6*f(q) + 17*l(q).\nAnswer: -23*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 - 2*n + 1. Let k(h) = h**3 - 15*h**2 - 3*h + 1. Determine 5*j(f) - 3*k(f).\nAnswer: -3*f**3 + 10*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 264527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175366 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 12:52 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -58874, -235172, -528996, -940340, -1469198?\n\"Answer: t**3 - 58769*t**2 + 2*t - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11343304 divided by 1064.\nAnswer: 10661","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 0. Suppose 7*x = 4*x. Suppose -3*t = -x*t - 6. Put -4, h, t in descending order.\nAnswer: t, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.7 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 0*u - 3*u)*(3*u**3 - 2*u**3 - 2*u**3) + u**4 - 3*u**4 + 3*u**4)*(-u - 2*u + u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 142\/467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1\/(-12)*(-3 - -1)). Let k(t) = -2*t + 21. What is k(b)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2800059282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*v + 148, -2*v - 221 = -2*l + 25. What is the greatest common divisor of l and 512?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + 2*a**2)*(1 - 1 - a) + ((-4 + 1 + 2)*(-1 + 1 - 1) + 49 + 75 - 49)*(2*a**3 - a**3 + 0*a**3)*(5 - 2 - 2).\nAnswer: 74*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -18*a**3 - 5*a**2 - 3*a + 4. Let c be b(5). Let q = -1674 - c. What is the common denominator of q\/30 + 21\/35 and -20\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16802 (base 11) to base 2\nAnswer: -101110000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19100 + 38397. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:06 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1589738)\/4 - -2. Let b = -1964871 + u. Round b to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 967.8242um?\nAnswer: 0.09678242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -363871657*b - 108422957.\nAnswer: -363871657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-21 - -1) - 26) + (-4 - -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 10, -56, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124313 - -505?\nAnswer: 125121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 4*m - 0*m - 4 + 84, 34*m - 88 = -20 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 1, f: 3, k: 2, g: 4}. Give prob of picking 2 f and 1 w.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/9 + 34*x**2\/9 - 32\/9 = 0.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 816*g + 814.\nAnswer: 2*(g - 407)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000385336 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 13. Let v(g) = 5 - 2 - g**2 + 0. Let o(z) = -6*z**2 + 16. Determine a*o(s) + 16*v(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 6*f + 10. Let v = 26 + -20. Let m(w) = w - 1. Calculate v*m(i) + c(i).\nAnswer: -2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13358*f - 3*f**2 + 13362*f - 26720*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-1 - 6)*(-66)\/(-132)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.2. Let t = 25 + -24.5. What is the third smallest value in t, 1\/5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h - 11*h + 20*h + 8)*((-1 + 1 - 2)*(0 + 2 - 6) + (1 - 5 + 2)*(2 + 0 - 3) + 3 - 2 + 0 - 12 + 10 + 5) to the form c*h + u and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/13 in -1, -0.4, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + -8 - (-2 - -3). Suppose -j + 8 = -o*j. Let l(s) = -3*s - 14. Let f be l(-6). What is the highest common factor of f and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301.77 or 3\/17?\nAnswer: 301.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.7048 decades in years?\nAnswer: 6827.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, -1\/6, -1\/7, -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j + 40 - 40)*(-1 - 2 + 2)*(1159*j**3 - 2319*j**3 - 54 + 1162*j**3) in the form f*j**3 + d + y*j + v*j**2 + z*j**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 - 1264\/(-432)*-3. Which is the nearest to 0.2? (a) h (b) -6 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 17. Let p be z(7). Suppose -10*j = -p*j - 18. Suppose j*x = -2*x + 985. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:40 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - 6.87. Let c = -6.9 - k. Let d be 18\/(-12)*(-2)\/63*3. Is d != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1159*b = 1163*b - 4. What is the second biggest value in -0.5, b, -36?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (345\/(-230))\/((-6)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:25 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129761 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - s - 9 = l, -2*l = -5*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.53 rounded to 0 dps?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 1. Let q be b(-1). Let t be q\/3 - (-22)\/6. Let k(h) = h**2 + 31*h + 189. Let a be k(-24). What is the highest common factor of t and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1\/13))*h**(5\/9))\/((h\/(h\/(h*h\/(h*h**(2\/103))*h)))\/h*h\/h**(-9\/5)) assuming h is positive.\nAnswer: h**(-189689\/60255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 441 and 36918.\nAnswer: 258426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:18 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2443.2 + -0.067.\nAnswer: -2443.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 0 - 3\/2*j**3 + 3\/2*j**4 + 0*j.\nAnswer: 3*j**2*(j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -230*p**2. Let v(f) = 303*f**2 - 609*f**2 + 308*f**2. What is c(v(w))?\nAnswer: -920*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*w + 22. Let l be 6\/27 + 4\/w. Solve u + l*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*b + 472*b + 349*b - 228*b + 58290 for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -20499.\nAnswer: 676467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3840 - 3840 - 211194*m**2 + 26510*m**2.\nAnswer: -184684*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77007 - 53883. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68789216 + -0.13?\nAnswer: -68789216.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 3 (c) -2882 (d) 2 (e) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1246.8*-6.5.\nAnswer: 8104.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(10\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -616, -1848, -3738, -6286, -9492, -13356?\n\"Answer: -329*i**2 - 245*i - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -0.39. Let h = 0.4 - t. Let i = h + 0.02000045. Round i to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 17*m**2 + 17*m + 62. What is the units digit of v(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 923838.857 to the nearest one hundred.\nAnswer: 923800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 98604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 50*i**2 + 14*i. Suppose 486 = -26*p + 122. Let b(z) be the second derivative of -5*z**4\/6 - z**3\/2 + 7*z. Calculate p*b(u) - 3*j(u).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)\/(d*(d*d**(-12\/5))\/d*d*d)*(d**0\/d)\/((d*d**(-16)*d)\/d*d))**(-1\/7) assuming d is positive.\nAnswer: d**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1298*y - 444. List the prime factors of j(2).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 340*w**3 - 2094*w**2 - 3168*w.\nAnswer: 2*w*(w - 176)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y - 44. What is u(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + 14*x**3 + 14*x**3 + (-5*x + 32445 - 32445)*(-4*x + 2*x**2 + 4*x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 5*a**2 - a - 5. Let s(d) = 2*d - 10. Let w be s(10). Let i = w - 5. Give v(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.37 and 66053.62065.\nAnswer: 66053.99065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -340, -1290, -2866, -5062, -7872, -11290, -15310, -19926?\n\"Answer: p**3 - 319*p**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.0473725 to 3 dps.\nAnswer: 8.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let k be r(-19). Suppose 0*g + 5*b = -g + k, -3 = 4*g - 5*b. Let s(p) = 2*p**2 - 7*p**2 - g*p + 2*p**3 + 2 + 3*p**2 + 0*p**3. What is s(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40724 divided by -10181\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3 + 21*l**2 - 9*l**6 - 32*l**6 - l**3 wrt l?\nAnswer: -4920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3108 and 1315461?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 30*v - 47. Calculate the least common multiple of 180 and m(-17).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 4. Let i(s) = -s - 7. Let k be i(-7). Suppose 0*l + 3*v + 5 = 4*l, -v + 1 = k. Let m(r) = -10*r + 13. Calculate l*m(b) + 7*d(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(3\/4))\/j*j*j**(2\/9)\/j)\/(j*j*j\/j**2*j*j**3\/j))\/(j*j**(3\/4)*j*j*j**(2\/3)\/j)**(-10) assuming j is positive.\nAnswer: j**(1157\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/17)*(j**(-6\/5)\/j)\/j)**(-2\/25)*(j**0*j*j\/j**2)\/(j**(-2)\/j)**(14\/3) assuming j is positive.\nAnswer: j**(30134\/2125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5330721 divided by -2211?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(4*x**2 + 3*x**2 - 5*x**2) + (-2*x + 0*x + 3*x)*(-5*x + 0*x + 2*x) + (-1 + 3 - 3)*(-x**2 - 4*x**2 + 3*x**2).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2045 divided by 110.\nAnswer: -409\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3995, 7683, 11381, 15095, 18831?\n\"Answer: c**3 - c**2 + 3684*c + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 1. Let c be f(-4). Let x(l) = 10*l**2 + l - 6. What is the units digit of x(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -54, -3050 in increasing order.\nAnswer: -3050, -54, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/234610 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 34 = -u - 35, -3*u + 4*f = 13. What are the prime factors of u + 11 + (-3)\/(6\/(-86))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293578471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311 - -307. What is the hundreds digit of (-4)\/((-2660)\/(-666) + h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 172 = 5*z - 2*c, -5*c = -3*z - 112. Let m = 52 + z. What is the remainder when 89 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 50 = 2*g + 22, 0 = 2*f + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 62. Let l = 22 - y. Are l and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 174?\nAnswer: 16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -998, -445, 478, 1771, 3434?\n\"Answer: 185*m**2 - 2*m - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84963561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 - 12*x**2 + 12*x - 12. Calculate a(8).\nAnswer: -2220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16371.16 to the nearest ten.\nAnswer: 16370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from hhnvhanehvvnvhuh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 82\nAnswer: -114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, 2\/257, 0.3, -1?\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((12\/864*-3)\/((-17)\/(-3))). Sort 2, -0.4, r in decreasing order.\nAnswer: 2, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/249 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.87 - 0.63. Let x = 13 + k. Put x, -4, -2\/19 in descending order.\nAnswer: -2\/19, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.478476 rounded to 1 decimal place?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - 7*p**3\/6 - 2*p**2 - 10*p. Let s be f(-6). Solve 1 = s*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - -3 - -1 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2161 and -114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2244 and 1632.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4*m + 3*m)*(-23 + 11*m + 4 - 10*m).\nAnswer: m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y + 8. Suppose 0 = -3*i - 2*w - 4, 3*i - y*w - 18 = -2. Let g(l) be the first derivative of l**4\/2 - 2*l**3\/3 + l + 1. Calculate g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2, -8 in ascending order.\nAnswer: -8, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 215567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(0 - -2)*(4 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16199, -29013, -41827, -54641, -67455, -80269?\n\"Answer: -12814*v - 3385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/21 (c) 9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/16 - (-12)\/24. What is the second smallest value in t, 5, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2164.2 to the nearest ten.\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8310 by -2770.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 2*k. Let b be h(2). Suppose -6 = -b*r + 26. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = h. Let d = h + 16. Suppose -60 = -5*f - j - 4*j, -4*j = -d. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2962.72 + 196899339.\nAnswer: 196896376.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -22*m**2 - 25*m - 17. Give g(-8).\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + 5*g**2)*((-1 + 1 - 1)*(3*g - g - g) + 55*g + 36*g + 46*g).\nAnswer: 408*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 7:30 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**16*a*(a**(-12\/13)*a)\/a assuming a is positive.\nAnswer: a**(209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 7*z**2 + 16*z + 21. Give q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2782*y + 2807*y - 577825. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5026491336 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - 2*b**2)*(69*b - 68*b + 7*b**3 + 4*b**3).\nAnswer: -33*b**5 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 + 3*i**3 + i - 4*i. Let j be c(-3). Suppose j = 4*q + 8. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 6\/(-3))*-1. Suppose 4*b - 13 - 31 = -4*y, 0 = 5*y - b - 43. Calculate the smallest common multiple of 2*1\/(v\/(-2)) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -43?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23453792 is divided by 434?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 21*h**3 + 17*h**2 - 3698*h + 3679. Give c(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/2 - 199679*x\/2 - 14864985 = 0.\nAnswer: -199530, -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/280 - s**4\/12 - 2*s**2. Let b(o) be the second derivative of y(o). What is the units digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 - 2*o - 15. What is n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - f = -5, 2 = 2*a - 6*a + 3*f. Suppose 2*r - 2 = -3*p - a, -5*p = 5. Factor 3*c**3 + 3*c**4 - r*c**4 + 0*c**2 + 2*c**2.\nAnswer: c**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 1 - (-7 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68037 (base 15) in base 14?\nAnswer: 887aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31101 or 30328?\nAnswer: 31101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/1537 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*u + 6 = -135*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39984660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 53 = 93. Suppose 250 = -0*x + k*x. Solve 6*q - q = -x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -105, -128, -151, -174, -197?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 7 + 26)*(4 - 2*u**2 - 4)*(4 - 1 - 2)*(-u**2 + 0*u + 0*u).\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64003 divided by 4.\nAnswer: 64003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2559973*v**2 + 2*v + 1055*v**3 - 22*v**3 + 2560214*v**2 + 83*v**3 - 1 wrt v?\nAnswer: 6696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*z = -262 + 230, -5*c - 11 = -3*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*t + 22, 27668*v = 27665*v - 2*t + 11 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63333 and 6810.\nAnswer: 633330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Suppose 67*k + 18 = 69*k + 5*n, 2*k + 2*n = 12. Calculate the smallest common multiple of k and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 - -127. Suppose q*x = -21 + 189. Solve 4*t + z + 9 = 0, z + x = 3*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - 162. Let g(u) = u. Let c(w) = 14*w**2 + 6*w + 1. Let b(q) = d*c(q) - 5*g(q). What is the second derivative of b(y) wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n**3 + n**2 + 5*n + 7. Determine t(-2).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 1728*d - 851196. Determine r(400).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*j + 90, -244 = 3*w - 5*j + 4*j. Do w and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2644515 + -0.144\nAnswer: 2644514.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47685 is divided by 3594.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*z, 14 = c + z - 4. Let k = c + -10. Sort 0.2, k, 3.\nAnswer: 0.2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22109836 divided by 233\nAnswer: 94892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 12*o - 3. What is the units digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.121215*0.1243\nAnswer: -0.0150670245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let o(d) be the first derivative of -d**4\/24 - d**3\/3 + 2*d**2 + 4. Let n(i) be the second derivative of o(i). What is n(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 2*c**4 - 14*c**3 - 26*c**2 - 12*c.\nAnswer: 2*c*(c - 3)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/40 and -203\/330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 203475783 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**4)\/t)\/t)**(-1\/5)*t**(-6\/5)*t**(-1\/6))**(1\/11) assuming t is positive.\nAnswer: t**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3 + 235833*g**2 + 11327043*g - 11562873 = 0.\nAnswer: -49, 1, 78659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6842 and 31639.\nAnswer: -216474038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13247104 and 4940?\nAnswer: 66235520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 - 1978\/9. What is the closest to 1\/4 in 0, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:20 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2404 (base 7) to base 8\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 174, 1773, 6126, 14613, 28614?\n\"Answer: 230*y**3 - 3*y**2 - 2*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -89.37 and 0.4.\nAnswer: -35.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-21))\/((-3)\/21). Suppose 3*o + 15 = 0, -2*m + o = -5 - k. Solve 0 = 4*c - m*l - 22, -2*c - l = -2*l - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377303056?\nAnswer: 2, 13, 61, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from uassyauusuy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 - 2\/4*-2. Suppose -105*f = -55*f - 50. Is (j + f)*(114\/9)\/(-1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 - 2*g**4 + 0*g**4 + (0 + 2*g + 0)*(-36*g**2 + 36*g**2 - 2*g**3) + 0 + 0 + 2*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 21. Let k = h + -9. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*i**2 + 15*i - 2 wrt i?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - 1. Let k be a(-1). Let x(i) = -2*i**3 + 6*i**2 - 6*i + 7. Let q be x(k). Round q to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**6\/105 + b**5\/70 - b**4\/42 - b**3\/21 + b - 113. Find g such that s(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0*d**2 - 1\/14*d**7 - 3\/5*d**6 + 6*d**3 + d**4 + 4*d - 27\/20*d**5 + 0. Suppose i(p) = 0. Calculate p.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*s - 3 + 181*s - 1 + 3.\nAnswer: 587*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 778*w**3 - 5*w**2 + 20*w. Let i(k) = 245068*k**3 - 1576*k**2 + 6304*k. Give -5*i(c) + 1576*t(c).\nAnswer: 788*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 4, 0, 2, -2, 77 in decreasing order.\nAnswer: 77, 4, 2, 0, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17464 or 52394\/3?\nAnswer: 17464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22659 > -22659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 497496360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 101*l - 21. Suppose -3*b + 5*f - 5 = -0*b, 4*b = -4*f + 36. What is the tens digit of q(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 218 - 44 = 0. Find the third derivative of 6*k**x + 23*k**6 - 3*k - 18*k**6 + 3*k**2 wrt k.\nAnswer: 1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203678161.\nAnswer: 203678161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 37, 0, 446, 4 in descending order.\nAnswer: 446, 37, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -1 - 4\/(-2). Suppose j*f = 2*x + 18, -3*f - 3*x = -6*f + 21. Factor -z**3 - 1\/2 + 1\/2*z**5 + 1\/2*z + z**f - 1\/2*z**4.\nAnswer: (z - 1)**3*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 1 (c) -0.4 (d) 18 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -351.06369 - -0.12\nAnswer: -350.94369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:40 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24 = 2*t, -4*k + 0*t = t - 20. Let x be k\/(-24)*5 + 2\/6. Put -20, 3, x in decreasing order.\nAnswer: 3, x, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {g: 1, j: 2, y: 4, a: 1, x: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.104125512 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(6*(-84)\/(-9))*(-48)\/4?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-2))\/(67\/402).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*g - 161 + 161.\nAnswer: -83*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 6.\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2311*d**3 - 3*d**4 - 2291*d**3 + 2*d**2 + 2*d**2 + (3*d - 3*d - d**3)*(-1 + 2*d + 1).\nAnswer: -5*d**4 + 20*d**3 + 4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 7366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5675*t - 33923. Determine w(6).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 2. Let h be l(-2). Suppose 10*w = 934 + 8616. Let q = 956 - w. Are q and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 30*i - 12*i - 84*i**2 - 15*i + 90*i**2.\nAnswer: 6*i**2 - 58*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x**3 - 3*x**2 + 4*x. Let h be d(1). Solve h - 74 = -13*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174 + 2*l**2 - 82 - 4*l**2 + 206*l**4 + 2*l**2 wrt l?\nAnswer: 824*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12628? (a) -1 (b) 1\/5 (c) 24 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/11)*g\/(g\/(g\/(g*g**(-4\/3)\/g))))**(-16) assuming g is positive.\nAnswer: g**(-944\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - 700\/(-40))*(-3340)\/(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -23.8. Let p = 8 - 12. What is the nearest to y in -3\/7, p, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-102)\/8)\/(6\/(-24))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, 46, 3, -0.2, 0.3, 0.5 in increasing order.\nAnswer: -4\/17, -0.2, 0.3, 0.5, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51539 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-10 - -19) - (114 + 4) - (-13 + 0)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*8\/(-336)*408?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-26) - -3)*(-25 + 14 - 233)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32717137 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*h, -2*v + 5*h = -5*v - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14077, -16719, -19361, -22003, -24645?\n\"Answer: -2642*x - 11435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)\/b**(-3)*(b**(1\/3))**(-48))\/((b**2)**25\/(b**(-1\/9)*b**(-6)*b)) assuming b is positive.\nAnswer: b**(-3056\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000400089 to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 13. Let z be f(8). Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/301*2 - (-2100)\/2940\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12778*o - 11961*o - 42484 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 24794*s**2 + 460*s - 230. Let r(o) = -322*o**2 - 6*o + 3. Let n(m) = 3*p(m) + 230*r(m). Let u(t) = 2*t. Determine n(u(i)).\nAnswer: 1288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235 - 117*z - 495*z + 559*z to j + s*z and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 3*v + 6*x - 14 = -4*x, -5*v + 2 = 4*x - 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let i(q) = -5963*q**2. Determine i(m(g)).\nAnswer: -23852*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-4))\/((-1)\/(-2)). Suppose -3 = -3*t - 15, -15 = x + g*t. What is the biggest value in -4, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17501 + 17501. Solve -107*c + 101*c + 24 = g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 385*s + 1981 = 0, 4*a = -2*s - 1035 + 1101 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(19) - (-4*sqrt(133))\/sqrt(7))*5 - (-1*(sqrt(228) - -3*sqrt(228)))\/sqrt(12)) + -4)*-4.\nAnswer: -96 + 696*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 6. What are the prime factors of (-2)\/s + (-100)\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*((j*j**(-2\/7))\/j)\/j)\/j*j**(-1\/8) assuming j is positive.\nAnswer: j**(-23\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 81\/(-54)*2*(-2)\/6. Let h = 5 - v. Is -2 + 5 + -564*h\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 50236 - 3*l**3 - 95396 + 45160.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 27965870?\nAnswer: 27965870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*20\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6952*m**5 + 3*m**4 - 18748*m?\nAnswer: -139040*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f + 12. Suppose -4*r - o + 20 = 0, -3*r + f*o - 2*o = -15. Suppose r*j - 72 = 2*j. What is the greatest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 5 (c) -471\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2598.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*a**6*m - a**4*m**2 + 2*a**3 - a**2*m - 3*a*m**2 - 116*m**2 - 3*m wrt a?\nAnswer: 16560*a**3*m - 24*a*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 6.9. Let h(s) = -287*s**2 - 2598*s - 130. Let p be h(-9). What is the third smallest value in 1, p, -5, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 967.9999999752 + -968. What is m rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 551633 = -3*s + 551612, -16*f + 35 = -5*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-147)*3*-5.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32390786 and 3769?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 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: Sort 0.02, 43191, 0.3 in decreasing order.\nAnswer: 43191, 0.3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 221?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/8 - -43*341\/2666?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/42)\/((4\/(-8))\/(-1)). Suppose 14*u + 71 - 1 = 0. Put -4, u, 1\/5, v in increasing order.\nAnswer: u, -4, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16\/7 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, and 1 w when three letters picked without replacement from nuwkwnfkukukanukkfuk.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 83296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4438434 and 69112758?\nAnswer: 483789306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 5*w + 4*a, -27 = 3*w - a. Let h = w - -10. Factor -25\/4*o**4 - 1 + 15\/2*o**3 - 3*o + 11\/4*o**h.\nAnswer: -(o - 1)**2*(5*o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181244 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/27 (b) 2\/5 (c) 21 (d) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/d*d)\/d)\/(d**(16\/3)*d) assuming d is positive.\nAnswer: d**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-12))\/((567\/56)\/(-9))*327\/(-545)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i + 3. Let h be l(6). Suppose h*z - 5 = 1. Suppose 2*o = -z*n + 30, 3*o - 4 = n + 41. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1023, 1020, 1015, 1008, 999?\n\"Answer: -l**2 + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 40*s**2 + 39*s - 23. Let h be j(39). Let m(i) = -6*i + 3. Let n be m(-4). Let g = h + n. Solve -g*o = -9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -45*j**3 - 7*j**2 + 19*j + 86. Let g(x) = -7*x**3 - x**2 + 3*x + 14. Let h(b) = -19*g(b) + 3*k(b). Give h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69270 at least as big as 69270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s + 31*s - 1519 = 21*s - 3*f, -s - f - 31 = 0 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 13*t + 3*s + 6, -t - 4*s + 1 = 0. Sort 0, 1, 2, t in increasing order.\nAnswer: t, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.1 and -2049836.\nAnswer: 4304655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 8\/12 - (-16)\/12. What is the nearest to p in 2, -2, 873, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4690190 divided by 2315\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 6 (c) 1 (d) -488 (e) 17\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305608?\nAnswer: 2, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877925, -1755814, -2633703?\nAnswer: -3511592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184158 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 30. Suppose v*u - 4*u - 14 = 0. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7654, 15160, 22666, 30172, 37678?\nAnswer: 45184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6896*y + 482722. Calculate b(-70).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 13573 - 4933 = 117*n for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f - 15*f + 5*f - 6*f**2 in the form u*f**2 + a + p*f and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 275 = 56. Let j = -97 + u. What is the tens digit of (-1500)\/j*(-4)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2*l + 2*l)*(-2*l - 3 + 3) + l**2 - 3*l**2 + l**2 - 3*l - 50*l**2 + l + 44*l**2 as s + u*l + c*l**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2481788*-85.\nAnswer: -210951980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -33*n**2 - 7*n + 7. Let g(p) = -22*p**2 - 5*p + 5. Suppose -56 = -14*h - 154. Give h*g(w) + 5*x(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/22 in -4, -56, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let b be z(2). Let o be b\/(-1) - (0 - 2). Suppose 3*t + 2 = -o. Let w(k) = -2*k + 1. Determine w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 4*o - 6. Let w = -21 + 15. Calculate the lowest common multiple of t(w) and 135\/25*50\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 2*q + 73 - 47, -4*q = 5*x + 1 + 27 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -49\/9 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-39) + (-1460)\/(-26). Find the third derivative of b*g**3 - 6*g**2 - 4*g**5 - 56*g**3 wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17051.6 take away 2358?\nAnswer: 14693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.1 (c) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4352 times -3\nAnswer: -13056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 3. Let n = -117.9 - -113. Let t = y + n. Which is the third biggest value? (a) -2\/3 (b) 2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -c - 5*h, 4*h = -3*c + 5*h - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 0.2, 3\/4, -0.6, 13367?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61321103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000702 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/18774 and -137\/1788.\nAnswer: 37548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(2\/(-4)). Let l be 2250\/c*(-5600)\/(-2). Round l to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1.12.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -855533 + 855533 + 1548*o as h*o + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9603\/22 + -3 - 1\/(-2). Suppose -541*c + 534*c = -o. What is the remainder when 680 is divided by c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28032206233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 149050757\nAnswer: 29810151.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -0.93769891?\nAnswer: 4.06230109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 469*n - 472*n + 2, 0 = -n + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l**3 + 4*l**2 - 82*l - 85. Calculate the smallest common multiple of i(-1) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.982 - 0.018. Let z = -28.3 - n. Which is the biggest value? (a) 6\/7 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.94 + 0.06. Let s = 3.1 - 3. Sort t, -1\/2, s.\nAnswer: -1\/2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -33. Suppose 2*j - 40 = 26. Suppose 21 = o - 2*s, o + s = 3*o - j. Calculate the remainder when f is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2004407485 to the nearest integer?\nAnswer: 44771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1077393*c**5 - 192*c**4 - 179*c**2 - 118134*c + 1 wrt c?\nAnswer: 64643580*c**2 - 4608*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -45*x. Let c(a) = 71*a**2 + 3*a + 1. What is u(c(m))?\nAnswer: -3195*m**2 - 135*m - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -103. Let i be 152\/80 + (-3)\/l. Let t = 3 + -4. Sort t, -3, i.\nAnswer: -3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-15)\/(-40)))\/(4\/(-36)*3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3360 and 15912078.\nAnswer: 1272966240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45546340*r*u - 47549*r + 747 with respect to u.\nAnswer: 45546340*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119650244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 650040191 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70715837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7216 and 121033?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 107, -5, 16, 7 in decreasing order.\nAnswer: 107, 16, 7, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1606 - -3?\nAnswer: -1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -24*x**3 + 4*x**2 - x. Let f(d) = 48*d**3 - 7*d**2 + 3*d. What is -4*f(l) - 7*k(l)?\nAnswer: -24*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 39) + (-15 - -21).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6167875*y**3 - 137770?\nAnswer: -18503625*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121210220 (base 3) to base 2.\nAnswer: 111110011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 + 8*y + 4. Let q be j(2). Let x be (1141 - q) + 14\/(-7). Calculate the greatest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/91 + 2 + -4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12408571 to the power of 1\/2, to the nearest integer?\nAnswer: 3523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*z + 48702, -1595*r - z = -1594*r - 16230. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**4 + 11*n**3 - 92*n**2 + 15*n = 0. Calculate n.\nAnswer: -5, 0, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2740, 2562, 2014, 1096, -192?\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, c: 2, t: 4, d: 1, x: 2}. What is prob of picking 1 d, 1 v, and 1 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 17 - (-4 + 19). Sort b, -3, -168, 3 in descending order.\nAnswer: 3, -3, b, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.025419008\nAnswer: -0.101676032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54298.0000026207 - 54298. What is u rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11754338 or -11754336?\nAnswer: -11754338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6066, 6096, 6152, 6240, 6366, 6536?\nAnswer: 6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:54 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2224\/17 + -11052\/85. Factor -v*f**2 - 64\/5 - 8*f.\nAnswer: -4*(f + 2)*(f + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l - 12 = 0. Let x = 8 + 27. Suppose -4*z = l*d - 140, -x = -3*z + 2*z - 3*d. Calculate the remainder when 136 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 432, 625, 784, 897, 952?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from wwwwwjwwjww.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -9250?\nAnswer: -9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyny when four letters picked without replacement from {n: 3, y: 8, r: 2, g: 7}.\nAnswer: 49\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + 11.9. Let q = 8 - h. Let x = 0.06706 + 5.93294. Which is the second biggest value? (a) -0.1 (b) q (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1636 and 36106520?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 a when four letters picked without replacement from {f: 1, s: 2, a: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682*x - 91*x - 154*x - 127*x - 150*x - 149*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429 - w - 2*w + 5*w - 4*w.\nAnswer: -2*w - 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 11234719?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u - 6. Suppose 5*t = -x + 1, 21 - 4 = 2*x + 5*t. Let l = x - 11. What is y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + -185. Calculate the greatest common factor of 27 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-3)\/w)\/w)**17\/(w\/(w*w**(-3)\/w)*w)**(-1\/9))**(-2) assuming w is positive.\nAnswer: w**(1214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 398*r**4 + 872439*r + 452022 - 4000*r**5 + 189471*r**2 + 78915*r**2 + 16614*r**3 + 168267 - 17*r**4 + 4003*r**5.\nAnswer: 3*(r + 1)*(r + 3)*(r + 41)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 0, j - 3*j = 3*k - 52. Calculate the greatest common divisor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/31 + 45\/217. Let m = -37 + -35. Let f = -71.6 - m. What is the closest to 1\/5 in f, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 5308.\nAnswer: 10616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k - 112*k + 141 = 3*z, 10*k - 230*z + 877 = 9*k for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -25)\/(0 + (-7)\/(-77))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.09 (c) 5 (d) -24 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -597 + 1792\/3. What is the fourth biggest value in o, 3, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 k when three letters picked without replacement from {r: 10, x: 2, k: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -223.3\nAnswer: -228.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joo when three letters picked without replacement from {j: 8, f: 2, o: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14048\/720 - 18 - (-1)\/(-9).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 162 = g, -5*t = 4*g - 277. Does 27 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -10*y**2 - 29. Let b(s) = -6*s**2. Calculate b(o(m)).\nAnswer: -2400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0.1. Let t = -1 - p. Sort -2\/21, -4\/5, t.\nAnswer: -4\/5, -2\/21, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134165826 to the power of 1\/3, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:55 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184140, -368219, -552314, -736431, -920576, -1104755?\nAnswer: -1288974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/13 - 30*f**2\/13 + 1922*f\/13 + 150 = 0?\nAnswer: -39, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 57 = -67 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-4 - -6) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22210106 - -2?\nAnswer: 22210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/23866 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.102 + 1.898. Let d = 1 + 0. Which is the closest to v? (a) d (b) 0.2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 16. Suppose 3*s + 26 - 3 = 4*u, -19 = 3*u + 5*s. Solve -u*q = -k*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2087.85 + -2031. Let v = 57 - f. Let y = 107 - 103. What is the second smallest value in v, y, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 4*n - 2. Let r(h) = -1769*h**2 + 8*h - 817. Let q(k) = 2*j(k) - r(k). What is the derivative of q(o) wrt o?\nAnswer: 3530*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-95)\/(-38)*((-3)\/(-5) - -1). Let n be (0 - 1)*-1 - (p + -6). Suppose o - 13 - 65 = -n*w, 5*o - 336 = 3*w. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 35 = 9. Let b(o) = -2*o**2 - 3*o - 3. Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.0570067 minus -8?\nAnswer: -12.0570067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-6))\/(-2*(-4)\/(-16)). Suppose -3*b = -0*a - a - 9, 5*a - 9 = -u*b. Suppose -3*c - 3 = -a. Is c bigger than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.7526 kilometers in micrometers?\nAnswer: 908752600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45199028 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e686 - -38?\nAnswer: 2e6be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 16\/(-10))*-130. Calculate the highest common factor of 195 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -406906*w**4 - 683968 wrt w.\nAnswer: -1627624*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141979.\nAnswer: 23, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203382?\nAnswer: 2, 1101691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2 + (3 + 1 - 5)*(0 + 0 + 1) + 2352 - 3091 - 1767)*(0*d - d + 2*d).\nAnswer: -2506*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 10772468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-35)\/25 - 3\/5) + -10. Let l = 12 - z. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*f - 988 - 2476 = 0, -2092 = -3*t + f. Suppose 1766 = 5*v - c, 3*v - 5*v + 3*c + t = 0. Is 59 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 2*t. Let c be 90\/(-60)*4\/3. Let o(f) = f**2 + f. What is c*o(p) + g(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*x - 1255 - 261 + 313 - 1282 = 0. Let w = -0.3 - -0.1. Let l be (-2)\/5*(-5)\/(-7). Which is the closest to w? (a) l (b) 0.05 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135550.\nAnswer: 2, 5, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 336669963?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -30*z + 3025. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61009?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 10) to base 2.\nAnswer: 11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 8*h**2 + 4*h + 32. Let i(t) = -4*t**3 + 34*t**2 + 17*t + 128. Determine 2*i(k) - 9*o(k).\nAnswer: k**3 - 4*k**2 - 2*k - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57177255 + -4?\nAnswer: -57177261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18472*x - 28315*x - 10008*x.\nAnswer: -56795*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 + -0.02. Let v = 0.7 + a. Let m = 2 + -2.2. Sort v, m, 0.2 in ascending order.\nAnswer: m, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32172 is divided by 1423.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -4 + ((-117)\/(-24) - (-9)\/72) and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353480 times 0.0353\nAnswer: -12477.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u - 65*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45197298 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30975)\/(-55) - (-4)\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*i**2 + 3 - 3 - 130*i**2 in the form h*i**2 + m + j*i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2984 - 1293. Let v = 1201 - q. Let s = -489.799 - v. Round s to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7471 + 0.7471. Let t be 4\/((-60)\/(-9)) - 1. Which is the smallest value? (a) f (b) 7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 1. Let a(n) = 2*n + 3. Let w(f) = -2*a(f) + 5*s(f). Let h be w(-8). Let u(b) = -3*b + 3. Is 7 a factor of u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.8 (c) 7.29 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5065000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10567 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.1 (c) -0.16 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -o - 11, 11 = 3*y - 4. Let f(v) = v**2 + 7*v + 8. Let i be f(o). Suppose -3*l - 2*j + 8 = 0, 2*j = -2*l - i*j. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 100096?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**35)**(-23)\/(o**(-35))**(2\/15) assuming o is positive.\nAnswer: o**(-2401\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 226912, 229065, 231208, 233335, 235440, 237517, 239560?\n\"Answer: -c**3 + c**2 + 2157*c + 224755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 20 = 0. Suppose -9 = -4*v - 53. Let u = v - -7. Sort u, 3, c in decreasing order.\nAnswer: c, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4980, 4712, 4266, 3642, 2840, 1860?\n\"Answer: -89*x**2 - x + 5070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -605, -575, -523, -449, -353, -235, -95?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*z - 347*z - 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70774, -70775, -70776, -70777, -70778?\n\"Answer: -x - 70773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3 - 3*p - 2*p - p - p**2. Let n be s(-6). Suppose -3*x + 4*w = -12 + n, -x = 4*w - 3. Solve -2*m = -x*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*m + 51*m + 18 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253872 and 41?\nAnswer: 253872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -29. Suppose 3*t + 2*p - 41 = 0, -p + j*p - 8 = 0. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = -4*k, 2*k - 5 = -5*l - 0*k. Suppose 86 = -l*a + 101. Let r = -2 - -5. Which is bigger: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 128 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614035\/606 at most 2662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1 + 4 + 4 + 9*c + 0*c. Let h be d(14). Suppose 79 = 2*g - h. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*j = 87, 232 = 5*n + j - 3*j. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111111001110100 (base 2) to base 10.\nAnswer: -130676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -380455 and 35.\nAnswer: -13315925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-237)\/30 - (-9)\/(-90)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 4)*(1785\/(-12))\/7. Let x = -134 + g. What is the remainder when 129 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(7) - 4*sqrt(847))))**2 + -5 - ((-1*sqrt(343))**2 + 0 + sqrt(21)\/sqrt(3)).\nAnswer: -sqrt(7) + 13827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91434.1 take away -2?\nAnswer: 91436.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 50411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -210220112 (base 3) to base 12\nAnswer: -92ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2912)\/308 - (-30)\/3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 134. Which is the second smallest value? (a) -1\/4 (b) -2\/7 (c) 10 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3358, -3377, -3396?\nAnswer: -3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:55 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 33. Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*r**2 + 38*r - 133*r**2 - 53*r as h + c*r + d*r**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = -2*w - w. Let p = 196 - w. What are the prime factors of p?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cfc (base 16) to base 12.\nAnswer: -1b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 16 = -a + 40*q, -3*a + 38 = -q for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - 1 - 2*t**4 - t**4 wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10582992*i - 4468438 wrt i.\nAnswer: -10582992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2169434467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 4*p + 48, -5*b + 45 = -5*p. Suppose 0*y + b*y = 133788. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 36372.\nAnswer: 181860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*x**3 - 4*x**3 + 4.\nAnswer: -10*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 316.1 + -316. Which is the third biggest value? (a) 0.2 (b) -4 (c) y (d) 1\/3 (e) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocde when four letters picked without replacement from doecjeojeddq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 47*d**2 - 78*d + 323. Is k(-54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w + 14. Let g be a(8). Let q = 147 + -147. Suppose 0 = -5*v - r + g, -2*v + q*v - 3*r = -15. Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:43 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3380, -3381, -3382?\n\"Answer: -c - 3379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 3*f. Let z(j) = 8*j**2 - 11*j. Let s(t) = -22*g(t) + 6*z(t). Let c(n) = -566 - 565 + 32*n - 571 - 563 + 2265. What is c(s(w))?\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxfxxxxfxxxfxx.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/20 + 14*x**2. Let b(s) = -s. Calculate b(t(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142.057 + -142. Round h to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1.4. Let w = 0.2 - 0.3. Let s = w + -0.9. What is the nearest to s in -1\/2, a, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-4)\/(-16)*604 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 87427943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20806*t + 127513 = 301356 + 138247 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzfffzzzfgzf. Give prob of picking 1 f and 1 z.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -800043, -800038, -800033, -800028, -800023, -800018?\n\"Answer: 5*o - 800048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 685 and 5064205.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5440745.3 to the nearest 10000.\nAnswer: -5440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11215 - 5?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 957 (base 13) in base 5?\nAnswer: 22333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2855566.\nAnswer: 2, 7, 203969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/22 - -18\/11. Sort -0.3, h, 0, -0.4 in decreasing order.\nAnswer: h, 0, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, i: 2}. Give prob of picking 3 t and 1 i.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.5545416 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(66\/((-1716)\/130)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(44)\/sqrt(4) + sqrt(11)) + sqrt(13) + 1*sqrt(13) + -1.\nAnswer: -1 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166783574?\nAnswer: 2, 3, 11, 17678539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 9:50 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*n = 4*o + 8, -5*o - 4 = -2*n. Let y be (o - (0 - 1)) + 5. What is the units digit of (-2)\/((-4)\/(y\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14236*m**3 - 14228*m**3 - 80*m**2 - 98*m**2 + 178*m**2.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (185*w - 41*w - 94*w)*(-w + 3*w - 4*w) as p*w + q + l*w**2 and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-140) - 17\/(-170)*619?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 371167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28154225651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1011 + -1008. Let d(g) = -g**3 + 4*g**2 + 6*g - 2. Let m be d(5). Let s be -2 + m - (1 + -3). Solve s = -h*w - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51637, -54492, -57347?\nAnswer: -60202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - 31.2. Let l = s + 35.3. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70, -83, -110, -157, -230, -335, -478, -665?\n\"Answer: -k**3 - k**2 - 3*k - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, z: 3}. Give prob of sequence zcz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 1 - (58 + -52) - -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 924 + -923. What is the smallest value in 0, s, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4*r**2 - 4*r - 1. Let q be h(-4). Solve -2*z = -2*i - 4, -3*i + 3 = -z + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 3189 + 3129. Calculate the highest common divisor of 54 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k + 20. Let q = k - -23. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q**2 + 6*q - 5. Let f(p) = p**2 - p + 1. Let s be (4\/(-2) - -1) + 7. Let n(o) = s*f(o) + h(o). Differentiate n(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 637, 3, 1, 0, 9 in descending order.\nAnswer: 637, 9, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 571101 or 571098?\nAnswer: 571101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3646, -3645, -3644, -3643, -3642, -3641?\n\"Answer: b - 3647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3915*g + 1030*g + 1740*g.\nAnswer: -1145*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2023\/15 - 20\/(-150). Let p = g - 673\/5. Which is the second biggest value? (a) p (b) -2\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1349*q - 10. Let v(n) = n**2 + 5*n - 4. Let d be v(-7). Let p be f(d). What is p rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1078, 5.1, -3\/13, -2 in descending order.\nAnswer: 5.1, 0.1078, -3\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 - -5)\/(-2 + 2\/(-6)). Which is the nearest to 4\/21? (a) -1\/5 (b) -4 (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8*n = 2*c + 1, 4*n + 19 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/26 + -1\/13. Let z = 4 - 4. Let v be (86\/11 + -8)*-1. What is the nearest to z in v, u, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.649 + 4.789. Let f = -1.14 + o. Let d = -43.000237 - f. Round d to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 17 = 14*a + 39, -469*a + 468*a - 58 = -4*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - n + 15\/2.\nAnswer: -(n - 3)*(n + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5865*-34*5*(-1)\/14?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 387280769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -927 in 4\/13, -2\/9, 9, 4, 0.07?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**4\/6 + 2*k**3\/3 + 27*k**2\/2 + 6. Let b(v) be the second derivative of o(v). Determine b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-8) + -2*2\/(-2). Suppose -4*w = -t*a - a + 24, -2*w = -a. What is the highest common factor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 1)*(-3*n**2 + 2*n**2 - 2*n**2) - 6*n**2 + 18 - 17 + 6*n + 5*n**2.\nAnswer: -7*n**2 + 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t - 16. Determine p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {j: 8, s: 1, h: 8, z: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -119.9947. What is v rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f\/(f\/f**(1\/3)))\/f))\/f*f*(f\/(f\/(f\/(f*f*f\/f**(1\/19)))))\/f*f*f)\/(f**(5\/7)\/(f*f\/(f**21\/f))) assuming f is positive.\nAnswer: f**(-7579\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -4. Let b be (-2)\/(c - -5) - 1. Let m be (4\/12)\/(b\/(-6)). Which is greater: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9 + 4 + 2\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280312, -560926, -841540?\nAnswer: -1122154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g*(g\/g**5)\/g)\/(g**1)**(-30))**(-37) assuming g is positive.\nAnswer: g**(-2812\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 115*q - 52. Let t be k(58). Solve 3*c - t = -0*j + 3*j, 18 = 5*c + 3*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.55 + -1.5498164. Round o to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1445, 1450, 1459, 1472, 1489?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-13*g + 34*g + 51*g)*(0*g**2 - 4*g**4 + 3*g**2 - 2*g**2).\nAnswer: 864*g**5 - 216*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 108 + -65 + -34 + (11 - 3 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 7*i + 2 - 12*i)*((-1 + 0 + 0)*(3*i - 6*i + i) + 2*i + 1 - 1 + 0*i - 2*i + i).\nAnswer: -57*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -o*s + 2 = -s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.096 from -103195.\nAnswer: -103194.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6274417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 60 = 0. Suppose y - 3 = 0, -2*y + 3*y + 141 = v. Calculate the least common multiple of x and v.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669430 < -669428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 1118.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than or equal to -420757.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1692 and 458676?\nAnswer: 21557772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 4. Let y = 127505 - 127510. Suppose -3*t - 4*r + 9*r = 2, -22 = 3*t + 5*r. Let b(h) = -3*h - 5. Calculate t*b(s) + y*d(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.42595 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(208) + 1 + -5*(sqrt(130) + sqrt(130) + (sqrt(130) - 1*sqrt(130) - sqrt(130) - sqrt(130)))\/sqrt(10) + 0 + -1)*-4)**2.\nAnswer: 53248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i + 91*i**2 - 3*i - 90*i**2. Let f(o) = -o. Give f(p(l)).\nAnswer: -l**2 + 13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/770 and -43\/2940.\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2821 = 2*x - 2841, -q - 36 = -5*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 3. Suppose -52 - 22 = 4*z + 7*m, -5*m - 38 = z. Let q(f) = -3*f**2 - 8. What is z*g(k) - 3*q(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0272 to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 8. Let b(w) = -w + 5. Let l(z) = -8*b(z) - 5*j(z). What is l(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*k + 1104 + 354 = -1203 + 301 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, -5, -7\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5)*((o*o**(5\/2))\/o)\/o)\/(o**(-1\/12)*o\/(((o\/o**(-19))\/o)\/o)))**(5\/8) assuming o is positive.\nAnswer: o**(1127\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -0.02, -0.2, 2\/861?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:52 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 23*b - 3. Let n(i) = 24*i - 1. Let o(h) = -6*n(h) + 5*s(h). What is the remainder when 193 is divided by o(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3572 and 8537308.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.93 + -10. Let d = g - 0.02. Let w = d - 6.91. What is the smallest value in w, 3, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1626 - 1123. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k**(-11))**(8\/7) assuming k is positive.\nAnswer: k**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -54. Let h be (-2 - 0)\/(5\/(-10)). What is the remainder when n is divided by h\/10 - 76\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 8) in base 13?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/((d**(1\/10)\/d)\/d)*(d**1)**(1\/8))**(-33) assuming d is positive.\nAnswer: d**(-3993\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73141.86us in milliseconds?\nAnswer: 73.14186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2\/3*h**3 + h + h**2 - 42. Determine l(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30439072 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 6*s + 11. Let j be (-248)\/24 + -2 + (-8)\/(-6). What is the units digit of w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33214 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11963?\nAnswer: 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530*j**2*m**3*q + 121*j**2*m**2 - j**2*m + 2*j**2 - 27*j*m + 725*m**3*q - 23*m**3 wrt q.\nAnswer: -530*j**2*m**3 + 725*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539341 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-40))\/((10\/12)\/((-280)\/210))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038007747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**2 + k + 2. Let n(d) = -8*d**2 - d - 2. Suppose a - 2 = 3. Suppose a*r = 4*g + 29, -1 = -3*r + 2*r. Give g*i(j) - 7*n(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233 + 545. What are the prime factors of (f\/18)\/((-2)\/(-3))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (-1 - (2 - 3)). Let z be ((-3)\/f)\/(1\/26). Suppose z*v + 85 = 18*v. What is the lowest common multiple of 4 and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 3772?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddue.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Suppose 0 = -g + 4*g - 6. Let i(x) = 10*x + 6*x - 9*x + x**g. Calculate 2*i(o) - 14*z(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z**(2\/9)))\/z*z)**(9\/2)\/(z\/(z**(-9)\/z)*(z\/z**9)\/z) assuming z is positive.\nAnswer: z**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4588 - 50511\/11. Calculate the common denominator of 76\/190*27\/(-2) and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 - -0.2. Let a = -180.755 - -181. Let q = 0.28 - a. What is the second biggest value in 0, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 - 479 + w + 480 + 13*w**3. Let c(q) = q**3 - 6*q**2 - 7*q + 7. Let y be c(7). Suppose -3*f - y = -2*k, -k = -2*k + 2*f + 5. Determine i(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 3. Let w = z - -3.2. Suppose -4*t = t + 5. What is the biggest value in 1\/6, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/8 and 143\/2351862.\nAnswer: 9407448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 9548851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/1365)\/((-6)\/(-15))*-7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.77 + -7.97. What is the nearest to -2\/7 in -1\/8, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22173393.\nAnswer: 3, 11, 671921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47597\/6 - 7926. Let o = 13671831348241\/20316 + -672958815. Let s = o + -5\/1693. Find the common denominator of z and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 2\/7, 2\/15, -3, 0.03239, -1\/3, 2?\nAnswer: 0.03239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from {h: 4, c: 1, l: 7, e: 2, p: 1, s: 2}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4415 - -4566. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32918 is divided by 177?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or 5867?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61*81 - (-12 + 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 4. Let l(t) = -t. Let u(w) = 4*l(w) + 2*y(w). Suppose -2*d - 3*g - 8 = g, -3*g = 3*d + 15. Calculate u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1731, 3470, 5197, 6906, 8591?\n\"Answer: -s**3 + 1746*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from {o: 6, f: 1, w: 1, k: 4, a: 3, y: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - (-14384)\/174)*(-4 - -19)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9. Let d be 15*(u - (-6)\/(-10)). Differentiate -7 - 42*c + c**2 - d*c**2 + 42*c wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.47 + -11.63. Let c = 13 + g. What is the second smallest value in -0.5, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/8 + u**3\/2 + 2*u**2. Let c be x(6). Let h = -7 - c. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gssfsggss. What is prob of picking 2 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16750025 = 3*o. Suppose -4*z - 3*u = z - 3350015, -5*z + o = u. What is z rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*h - 4 = 0, -14 + 5 = 4*j + 5*h. Is 82252\/16*(j - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.949907 + -390708.949907. Let l = -390968.891 - g. Let d = 261 + l. Round d to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -833775 (base 11) in base 4?\nAnswer: -11012132211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10399 = -386*b - 319*b + 63*b - 2053 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 73 - (1 - 2) - (-30)\/(-5). Suppose 8*w - a = -9*w. Solve w*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 36*t - 85*t + 24 + 47*t to the form k*t + z + r*t**2 + n*t**4 + i*t**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 448199695 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85.75 + -8.45. Let v = y - 77. What is the third smallest value in -3, 0.1, v, 1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/80*(-72)\/(-84)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + -2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 2. Let d = 647 + -642. Let r(w) = -6*w + 5. What is d*z(h) + 2*r(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -5. Let q be 20\/(-16)*4 - (-3 + 146). Let x be -1 + 4 + 0 + 1110\/q. Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -5) + -1 + 287. What is the common denominator of (-838)\/(-144) - (-64)\/o and 58\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41781 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 2*m**2 - 3*m - 7. Let k be ((84\/(-8))\/7)\/(1\/(-2)). Let u be v(k). Let n be (1 - -2) + 105\/(-33). Is u > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 650*g - 47286. Give f(61).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 85 = -51. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15432\/7 + 2205. Which is the third smallest value? (a) 0.065 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324542 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 397*r**5\/5 - r**4\/6 + 17*r**3\/2 + r - 517. Find the third derivative of w(i) wrt i.\nAnswer: 9528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*j - 218816, -17*g - 4*j + 218818 = -12*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3)*-6 + 1 + 99. Let k = 98 - h. Suppose -2*g - 2 = -z, k*g = -g - 2*z + 4. Solve g = -4*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + 105. Let t(k) = -2992*k**3 + 8*k + 2990*k**3 + 7 - 5*k**2 - 1 - 3*k. Let m(h) = h**2 - h - 1. Determine o*t(z) + 5*m(z).\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 13*n**2 - 21*n + 22. Let s be u(11). What is the first derivative of -s - 46*t**2 - 312*t + 312*t wrt t?\nAnswer: -92*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643, -621, -587, -535, -459, -353, -211?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-1*sqrt(36)) - -2*(sqrt(8) + 0).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2250)\/(-1500)*(-1100)\/(-33)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from {o: 6, m: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o - 4*y + 104 - 124, 5*o - 2*y - 19 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/5)\/((-2)\/6). Let l = 28 - 20. Let m be (-1)\/((-4)\/(l\/7)). Put m, j, 0 in ascending order.\nAnswer: j, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2958696 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 12*h = -1130. Let r(t) = -t**2 - 11*t + 90. Let j be r(5). Suppose j = 2*w, h = 3*i - 3*w + 2*w. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -58. Let l(s) = z + 0*s + 0*s + 6*s - 22 - s**2. Suppose 4*j + j - 25 = 0. Calculate l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-5)\/30\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*w - 3 - 1, 3*w = 4*v + 16. Let l = 1 + -6. Sort w, -1, l.\nAnswer: l, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 4\/3, -2\/403?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -68)*(8 + -5)\/(-24)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1104999, -2\/19, -0.16, 3\/4?\nAnswer: 2\/1104999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/7 + 41*h\/7.\nAnswer: -h*(h - 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -98.9\nAnswer: -197.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddpdgdggdddmdp. What is prob of picking 1 g and 1 d?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -0.2 (c) -0.05 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -541, -1084, -1629, -2176, -2725, -3276?\n\"Answer: -q**2 - 540*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 3*i**2 - 2*i + 2. Determine f(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 14 (c) -2531 (d) -2\/531\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 23*x**3 - 2*x**2 - 2*x + 13. Let h be ((-13)\/(-2))\/((-33)\/(-66)). Let k(d) = 11*d**3 - d**2 - d + 6. Give h*k(v) - 6*u(v).\nAnswer: 5*v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100 + 58 - 96 - 4 + 2 + 0 + (0 + 0 + 1)*(-2 - 1 + 1))*(1 + 2*g - 1) - 15*g + 38 - 38 + 0 + 2*g + 0 to k*g + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17862905 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9459 - 29658 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58672460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 917, 4, 0.\nAnswer: 0, 4, 917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 569203533*f**2 - 962577049*f wrt f.\nAnswer: 1138407066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u - 11. Suppose -u*x + 8 + 72 = 0. Solve 4*d + x = -4*t, -2*t - 4*d = -7*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2443 - -722. Let m = 2657088889\/1546280 + 3\/773140. Let y = i + m. Find the common denominator of -50\/3 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(17936\/(-4543))*19\/(95\/40)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*y - 18*y + 37*y - 9 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1249061.\nAnswer: -6\/1249061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 714, 1377, 2066, 2793, 3570, 4409?\n\"Answer: 2*o**3 + o**2 + 646*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14739738 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times -32?\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (0 - 0) + 7 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - 49195?\nAnswer: -49247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 12. Calculate the remainder when -1 + (-40)\/q + 0 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.84 + -1.84. What is the biggest value in s, 5\/2, -0.19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6108230 (base 12) to base 6\nAnswer: 1445345300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + -52. Suppose 0 = 5*j - l - 97. Suppose -3*h = -2*n - 31, -3*h + j = -3*n + 7*n. What is the least common multiple of h and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + b. Let i be (-4)\/(-8)*-3*4\/(-3). Let c(v) be the third derivative of v**6\/120 - v**5\/20 - v**4\/24 - 7*v**2. Determine i*c(r) + 3*n(r).\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -5686548\nAnswer: 1\/5686548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2175)\/(-58)*(65\/39)\/(25\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = -4. Let q(w) = -75*w**3 + 2*w**2 + 2*w + 1. Let u be q(a). Let m be (19\/3)\/(2\/6). What is the greatest common factor of u and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90607*h**2*t**2 - 32754*h**2*t - 42*h**2 + h*t**2 - 9*t**2 wrt t.\nAnswer: 181214*h**2 + 2*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/212544 and -1\/210.\nAnswer: 7439040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -1. Let j(h) = 2*h**2 - 6*h**z + 7*h**3 - 2*h + 0*h**3. Does 12 divide j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1957826 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 0.5, 25\/4, -0.2, -3\/131?\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 85449 (b) -38 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2161*18.7.\nAnswer: -40410.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = j + 25, 11 = -4*j - 9. Solve -b*h + 2 - 22 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ede when three letters picked without replacement from {d: 2, e: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:44 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23831.\nAnswer: 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122813 and 9168.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-1904)\/(-176) + -9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8169 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-63)\/14)\/(2\/8). Let u be p\/30 + (-68)\/(-5). Let x(q) = 23*q - 6. Is x(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14251773 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100.3 * -488\nAnswer: -48946.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 7) + (40 - 48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -10*w**2 - 91*w + 41. Let v(h) = -5*h**2 - 46*h + 21. Let r(a) = a. Let i be r(-5). Let p(t) = i*v(t) + 3*z(t). Factor p(g).\nAnswer: -(g + 9)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343 - 3323?\nAnswer: -4221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173168 is divided by 218.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58535593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 7*m**2 + 9*m**2 as z*m**2 + s + f*m and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 99452443381 and 0.3.\nAnswer: 99452443381.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3276 and 939666?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 3. Suppose 13*k - 14*k + 67 = 0. Let g = k - 40. Let i = g - 25. What is h(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3538041?\nAnswer: 3, 13, 83, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1495865943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -110. Put -8, 5, l in ascending order.\nAnswer: -8, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - 0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-1 - -1) + (-582120)\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2009160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6140\/3 + -6142\/3. What is the fifth biggest value in -0.5, n, -24.7, -2, -3?\nAnswer: -24.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 284, 384, 570, 884, 1368, 2064, 3014?\n\"Answer: 7*p**3 + p**2 + 48*p + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**2\/3 + 3947*c\/3 - 4940\/3 = 0?\nAnswer: -988, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/10, -0.5, 69, 13, 90?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*((sqrt(40) - 2*sqrt(1960))\/(sqrt(512) + 1*sqrt(512) + sqrt(512)) + -1).\nAnswer: 30 + 65*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-4)\/10 - 72\/120. Solve p + 4 - 7 = s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41940622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-4) - (-2)\/8. Suppose 3*w = -3*c - 24, 3*w = 4*c - 2*w - 4. Is c smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(4\/7)*c)\/c**(4\/3)*(c*c**2)\/(c*c\/(c\/(c*c*(c\/((c*c**(-5\/3))\/c))\/c*c))) assuming c is positive.\nAnswer: c**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-63)*-3*3\/6*(-1008)\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*x - 744, 3*x - 656 = 5*g - 82. Suppose -l = 3*n - x, -4*l = -2*n - 401 - 295. What is the greatest common factor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/795026 and 115\/18?\nAnswer: 7155234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125035 and 125035.\nAnswer: 125035","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 40863.6 plus -0.2?\nAnswer: 40863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 85.5\nAnswer: -85.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72)\/sqrt(2) + sqrt(36)))\/sqrt(12).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 - 4*z**2 + 87 - 21 + 27 to c + y*z**2 + l*z and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/7))\/a)\/a*a)\/(a*a**(4\/7)*a)*a**(1\/3)\/a**(2\/23) assuming a is positive.\nAnswer: a**(-1261\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1000001000010101?\nAnswer: 1000001000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8459652734 to 4 decimal places.\nAnswer: 0.846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -5*g**4\/12 + 505*g**3 - 459045*g**2\/2 - 4453*g. Factor d(u).\nAnswer: -5*(u - 303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 22 - 38. Let v be 8\/y + (-3)\/4. Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + 4 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693665.\nAnswer: 5, 13, 29, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h + 5. Suppose -a - 2*m = 8, 0 = h*a + 3*m + 4 + 1. Suppose a*o - 2 = 2. Solve 8 + 2 = -o*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*c + 4 + 1 = 0, 5*q + 2*c - 23 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-63))\/((-3)\/9)*-24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211292.\nAnswer: 2, 101, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 204*r**2. Let o(g) = 2*g + 740. Give o(v(x)).\nAnswer: 408*x**2 + 740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*y - 9 - 73. Find x such that 0 - 4\/3*x + 2\/3*x**y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55770297 and -19096?\nAnswer: 55751201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39440.83ml to litres.\nAnswer: 39.44083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010011001001 - 100000011000110?\nAnswer: -1010010110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 141, 594, 1349, 2406, 3765, 5426, 7389?\n\"Answer: 151*u**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4 + 4005*c**3 - 15987*c**2 + 19971*c - 7986 = 0.\nAnswer: 1, 2, 1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 26703133 in descending order.\nAnswer: 26703133, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 1 + 2*g + 7. Let z be l(0). Suppose -8 = 2*w, z*q - 5*w = 5*q + 35. Solve 4 - 16 = q*n + 3*k, n - 20 = 5*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*p - 13 = 11, 10 = 2*v + 3*p. Which is bigger: v or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2717 - 1384. Calculate the smallest common multiple of f and 516.\nAnswer: 15996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 970594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -1\/2 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -2\/7, -0.3, -1\/9, 1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4868909 plus 14334757.7?\nAnswer: 14334758.1868909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2674 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**4 - 48*u**3 + 162*u**2 - 168*u + 57 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*-9880484\nAnswer: -39521936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 5*z - 20. Let y be q(19). What is the remainder when (4\/6)\/1 + y\/24 is divided by 48\/18*(-36)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 + 236. Calculate the remainder when b is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - 46) + 27 + -7 + 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o = 25*o + 500. Suppose 2 = k - 0. Sort 3, o, 4, k.\nAnswer: o, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112001 - 1?\nAnswer: -112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708362891 to the nearest integer?\nAnswer: 26615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - -162. Let q(h) be the second derivative of -3\/4*h**5 + 0*h**3 - 6*h + 1\/2*h**4 + 0 + 0*h**a. Factor q(d).\nAnswer: -3*d**2*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = v - 35, 187 = 5*v + 2*o. Calculate the remainder when 74 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 198*k + 3203. What is j(24)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1173 - 627. Suppose -91*g = -84*g - q. What is the greatest common divisor of g and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 3*n**2 - n**2)*(10 - 34 + 1).\nAnswer: -46*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 204, 109, -2, -123, -248, -371?\n\"Answer: p**3 - 14*p**2 - 60*p + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 9*d + 4, -49*m + 5 = -45*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4400\/(-175) + 25)\/(0 + 1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -34, -42, -54, -70, -90?\n\"Answer: -2*m**2 + 2*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b**2 + 4*b + 7. What is x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4008640\nAnswer: -1\/1002160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/(4730\/44))\/((-21)\/(-504)*4\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16088053*t**3 + 4071473*t**2 wrt t?\nAnswer: -96528318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siii when four letters picked without replacement from {i: 5, s: 2, b: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 31849675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 1. Let f be u(1). Suppose m - 25 = 6*m. Let b = 3 + -1. Put b, f, m in descending order.\nAnswer: f, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*z**4 + 2*g*z**3 - g*z**2 - 2*z**4 + 508*z**3 + 1351*z**2 wrt z.\nAnswer: -48*g*z + 12*g - 48*z + 3048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 653.59 - 653.88809. Round i to 3 decimal places.\nAnswer: -0.298","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1111259813 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 23.4. Let a = -12.4 + m. Is a bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 0.2 (b) 4\/9 (c) 2 (d) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Let l(o) = -2*o + 1 - k*o + 3*o. What is the units digit of l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -93.61. Let s = 0.09 - f. Let r = 0.688 - s. Round r to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/3, 286, -0.4, 11 in decreasing order.\nAnswer: 286, 11, -2\/7, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.993692 meters in micrometers?\nAnswer: 7993692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291*n**5 - 29*n**4 + 2*n**3 - 31*n**2 - 325.\nAnswer: 17460*n**2 - 696*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12291 - 2691. Round b to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 784*a - 364*a - 402*a + 2. Let p(j) = -27*j. What is l(p(c))?\nAnswer: -486*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n + 5*t = 4, -2*n - 2*t = -4. Suppose n*i - 8679 = -9*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + (-6 - (-1535)\/260). What is the second smallest value in k, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 0.5, -88, -26.2 in decreasing order.\nAnswer: 0.5, -26.2, -60, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 709424 by 404.\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:18 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2939.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 17*k**3 - 19*k**3 - 90*k**3 + (-k**4 - 4*k**4 + 4*k**4)*(4 - 4 + 2).\nAnswer: -k**4 - 126*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 416089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*1\/((-2)\/(-2)). Let l = -397 + 747\/2. Let h = l - -25. What is the third smallest value in b, -4, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 73097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 19 - 24 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 681590\/(-11760) + (-3)\/72?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 4. Let o be x(-6). What is the units digit of o - (-7)\/1*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1980735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 - 60*w - 137. Give f(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 9. Let s be g(-7). Suppose -3*q - 576 = 3*q. Let x = q + 189\/2. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378133.\nAnswer: 7, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159469 is divided by 17701?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*(-1 + (-160)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -0.24861 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138\/7 - 10135\/518. Calculate the common denominator of t and 97\/16.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l**7\/l)\/l)*l\/(l\/(l*l**(-3)))*l\/(l\/(l\/l**(-2\/31)))*l*l**(-4\/3)\/l assuming l is positive.\nAnswer: l**(-583\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -51689801 + 2525030\nAnswer: -49164771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -436*u + 439*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 12*y + 15. Let r be w(12). Let a be 6\/r + (-52)\/(-20). Solve a*c = -k - 7, -c + 2*c = 2*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 126*o**2 - o + 2. Suppose 8*n = -2*n + 10. Does 32 divide h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/35 - 56\/(-20). Suppose 6*o - s = 2*o - 229, 0 = -5*o - f*s - 283. Let t be ((-1900)\/o)\/(2\/2400). Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2)*(-1)\/5. Which is the biggest value? (a) -5 (b) v (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127880748*t + 125414947 wrt t.\nAnswer: -127880748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4) + (-7)\/(-14))*-484. What is the common denominator of (0 + -2)\/(-4 + s\/115) and 1\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.173 times 3116177\nAnswer: -539098.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 + 11476*i + 149695. What is n(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/36 and -11\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 811 = 4*m, -4*q - 8*m + 3*m = -656. Suppose -3*i - 2*y = 55 - q, -i + y = -28. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 2. Let d be w(1). Suppose -5*j + 16 + d = 0. Find the second derivative of 8*p - p - 12*p - 13*p**j wrt p.\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.5 + -31.17. Let j = i + -1.33. Which is the fourth smallest value? (a) 5 (b) -2\/9 (c) j (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2400 and 239000?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -107 + 2*x - 3*x**2 + 54 + 58. Let t be (6*-1)\/(-1)*2. Let j(z) = -6*z**2 - t - 2 + 14*z**2 - 6*z. Give 4*j(y) + 11*v(y).\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 11. Let f be (3 + (-60)\/8)*(-8)\/18. Suppose -7*c + f*c = 20, -32 = -4*n - 3*c. Give r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*v - 11. Solve -3*q + 27 = -2*q + 5*z, v*q - z = -1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28932 + 983691\/34. Let t = 3.3 - 0.3. Which is the closest to -1? (a) v (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199 + -109. Let q = r + -50. What is the greatest common factor of 60 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147949673?\nAnswer: 569, 260017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2 + -866 + 0. Let y = 6075\/7 + a. Calculate the common denominator of y and 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141 less than or equal to 6151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose h*r + 3 = 12. Suppose -5*i = 2*u + 11 + 1, r*i = -3*u. Solve 5 - u = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-15)\/3*(-306)\/(-255).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 429.7234 millilitres?\nAnswer: 0.4297234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 - 45*t**2 + 23810*t - 367200 = 0 for t.\nAnswer: -80, 17, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1293*v**3 - 415*v**2 + 9*v + 3. Let t(u) = 17*u**3 + u**2 - 2*u - 1. Let c(m) = -d(m) - 3*t(m). Find the third derivative of c(l) wrt l.\nAnswer: 7452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 85.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 + -5 + 10 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25127*v**3 + 12572*v**3 + 12556*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16116720 by -4.\nAnswer: 4029180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b3 (base 13) to base 14.\nAnswer: 5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 6*a + 8. Let q(y) = -2*y**2 + 13*y - 17. Let k(s) = -11*b(s) - 6*q(s). Determine k(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 + -135. Let d be (-3)\/((-18)\/16) - n\/(-15). Solve -4*q - d*k + 2 = 0, -q = -k + 1 - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + b + 2*b + (-b + 1 - 1)*(-4 + 1 + 4) - 2*b - 4*b + 5*b + (-63 + 63 - 15*b)*(-3 - 1 + 12).\nAnswer: -124*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/48 and 73\/387.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 8 = 48. Let k be (-9)\/(-6)*(3 + -7). Let y be (-15)\/k - 1\/2. Solve -4*b = -5*w + 11 + y, h*b + 12 = 2*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 35, -8, -89, -220, -413, -680, -1033?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2\/5 - 86709*h\/10 - 737749\/2 = 0?\nAnswer: -85\/2, 43397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(24)\/sqrt(8))**2*4.\nAnswer: -8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -44, -49, -46, -29, 8, 71, 166?\n\"Answer: r**3 - 5*r**2 + r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4323 - 712. List the prime factors of k.\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:05 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/14))**(-41)*a\/(a**(1\/60)*a)*a*(a*a**(2\/155))\/a)**(5\/2) assuming a is positive.\nAnswer: a**(127361\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60980 divided by 444?\nAnswer: 15245\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 476 = 3*v, -3*v + 5*b + 623 = v. What is the remainder when 779 is divided by v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -2*j - 33, -2*h + 38 = -2*j. Let n = -9 - j. Suppose 0 = -3*v + a + 80, 0*v = -4*v + n*a + 125. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 4:54 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/((-3)\/42*-2). Let a be 132\/p + 2\/7. What is the second smallest value in -0.4, a, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622003912 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -7\/2*w**3 + 2*w**2 - 12*w + 0. Differentiate j(z) wrt z.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 + 11*i**2 + 34*i - 60. Let t(j) = j**2 - j. Let g(b) = l(b) - 6*t(b). Factor g(d).\nAnswer: -5*(d - 2)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 177.232?\nAnswer: 177.232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 235056*h - 235058*h + 4, 2*h - 4 = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(20)\/(sqrt(16)\/sqrt(4)))**2*-5.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n + 99 + 0*n**2 - 2\/3*n**3. Let a(y) = y**2 + 4*y. What is a(s(c))?\nAnswer: 4*c**4 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 989*d - 2715*d - 6663*d)*(-d + 5 - 5).\nAnswer: 10367*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1420*o - 158930. Calculate l(-112).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 3*k + 66. Let l be c(-9). What is the greatest common factor of l and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 218*t**2 + 1310*t + 6. Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52179 - 128179. What is m rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/9 greater than -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:05 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -706817, -707853, -708889, -709925?\n\"Answer: -1036*n - 705781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14717924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 9*w**2 + 10*w + 5. Let h be v(-10). Suppose 10 = h*c - 0. Find the third derivative of -p**5 - 9*p**2 + c*p**5 + 5*p**2 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5149*y = 5157*y - 20712. Calculate the lowest common multiple of 15 and y.\nAnswer: 12945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let r(v) = 1. Let j = 82 + -85. Let w(l) = 15*l**2 - 25. Let y(a) = j*w(a) - 75*r(a). What is y(p(d))?\nAnswer: -720*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let d be o(0). Let m(k) = k**2 + 74*k + 421. Let c be m(-68). Sort c, d, 2.\nAnswer: d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 6*k - 3. Let d = 127 + -128. Let b be (-1 + -6)\/(d + 2). What is l(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y = -2*l + 63625, l - y = 31830. List the prime factors of l.\nAnswer: 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 + c**5 - 5*c**5 - 15*c**5 + 24*c**5 + 62*c**5 + (5*c - 2*c - 2*c)*(3*c**4 - c**4 - 3*c**4) + 0*c**5 + 0*c**5 + 2*c**5.\nAnswer: 71*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 129 from -0.74.\nAnswer: -129.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + 2*w**2)*(473 - 429*w - 473).\nAnswer: -858*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 12*g**2 - 13*g - 28. What is f(-10)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 + 4 = -a, 8 = -3*z - a. Let f = -20 + 15. Let n be (-5)\/3 + (-52)\/(-78). Sort n, f, z.\nAnswer: f, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:34 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115768380 a multiple of 1631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*l + 169, 2*l = -2*y - y + 155. Suppose 13*w - y = -1. Solve 2*q + 2*f - 4*f = -18, 0 = -w*q + f - 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 18*g. Let j(r) be the first derivative of -r**3\/3 + 12. Calculate p(j(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2. Let b(m) = 3*m**2 - 2*m + 2. Let x(s) = 10*s**2 - 7*s + 7. Let f(u) = -14*b(u) + 4*x(u). Calculate f(a(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432203210 (base 5) to base 12.\nAnswer: -745985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + 0 + 1. Let b(h) = -6*h. Let c be b(x). Suppose 2*t + c = -5*z - 9, 5*t + 25 = 0. Put z, 3, 4 in increasing order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11*a = 7*a + 44, -33 = 3*r + 4*a. Sort 0, 3, 1, r.\nAnswer: r, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((-4 - (-5 - -3)) + -5 + 9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -i - 2*n - 6, -3*i - 15 = 5*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 406333317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 104*s**2 + 89*s - 670. Give y(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2327451 and 98?\nAnswer: 4654902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888314*m + 40 = -888313*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 24033332100?\nAnswer: -24033332103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5003243*r*t**6 - 8763248*r*t**2 - 2*t**2 wrt t?\nAnswer: 600389160*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 24. Let i be g(-10). Suppose -2*l + 20 + i = 0. Solve 0 = -4*x - 0*x - l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*m + 22 = 0, 16 = 15*u - 17*u + m for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -27*a + 20. Is z(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 4*c + 18. Let v be t(9). Let g = 210 - v. Let s(a) be the first derivative of -a**3\/3 - 3*a**2 + 8*a + 1. Calculate s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17143, -10, 5.\nAnswer: -10, 5, 17143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 17 - 17 + 19*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*t - 5*w, 4*w + 7 = 6*t + 17. Solve 5*z + 6 = t*j - 10, -2*z + j = 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2248*c**4 - 1885*c**2 wrt c?\nAnswer: -53952*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (5 + -1 - (-11 + 26)). Let b = 14 + s. Solve b*c + 20 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/11)\/3 + (-162)\/165?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49852 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 8033 = 288*i - 30*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 9837 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4779, 9560, 14341, 19122, 23903?\n\"Answer: 4781*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 7\/5, 3699?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**3 + 28*u**3 + 2*u**3)*(-2*u**2 + u**2 - u**2).\nAnswer: -44*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1124 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -0.055969635?\nAnswer: -1.055969635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649 divided by -11.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 210.\nAnswer: -22\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -3*k**6\/2 + k**3\/6 + 7*k**2\/2 + 43*k. Find the second derivative of s(o) wrt o.\nAnswer: -540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545031 and 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48065 + 48065.3. Let l be 1\/(6\/8) - 0. Which is the nearest to 2\/3? (a) m (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 2:51 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308325, 616648, 924971, 1233294, 1541617, 1849940?\nAnswer: 2158263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k - 486 = 164*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9255607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2353, 5852, 10491, 16270, 23189, 31248, 40447?\n\"Answer: 570*m**2 + 1789*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17077?\nAnswer: 17077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n**3\/9 - 626*n**2\/9 + 824*n\/9 - 184\/9 = 0 for n.\nAnswer: -46, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0.11, 8.\nAnswer: -5, -4, 0.11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10932.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 21, -3\/4, -1133\/19, 3\/4?\nAnswer: -1133\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 at least -276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316 and 6?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Solve 0 = -4*a + u + 1, -2*u - w = -a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**4 + 2*b**4 + 2*b**4 + b**4 + b**4 - 7*b**4 + (-7 + 7 - b)*(b**3 - 4*b**3 + 0*b**3).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let r(i) = -i**3 + 16*i**2 + i + 7. Let g be r(15). Let k = 1735\/7 - g. Which is greater: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - m + 42 = 0, 0 = 4*m + 4 - 24. Let y = -14 + v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.4. Let p = 2.8 + -3. Let l = 0.3 + p. Is l less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, e: 2, b: 1, a: 5, d: 3, r: 1}. What is prob of picking 1 r, 1 x, and 1 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45033, 89388, 133733, 178062, 222369, 266648?\nAnswer: 310893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -34133.133?\nAnswer: -989860.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l*l**6)\/l*l)*l**(-2\/11))\/(l*l**(-2\/3))**(-1\/23) assuming l is positive.\nAnswer: l**(-5440\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 45 + -2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4 + 1204*u**3 - 23279*u**2 - 51366*u = 0.\nAnswer: -1223, -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - ((-10)\/(-25) + 122\/(-5)). Suppose 200 = 4*z + u. Calculate the greatest common divisor of 66 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (335*a + 160*a + 22*a)*(4*a + 2*a - 4*a + (3 + 1 - 6)*(-2*a + 2 - 2)).\nAnswer: 3102*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(275) + sqrt(275)*1 + 3)**2 - (2 + 1*(1 + sqrt(275)))).\nAnswer: -3330 - 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 33\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -44, -142, -332, -644, -1108?\n\"Answer: -5*t**3 - t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let l(y) = -2559*y**2 + 7. Give a(l(c)).\nAnswer: 2559*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*i = 5*q + 102, -q + 3*i = -26. What is the second derivative of 4*o**3 + 54*o**3 + 32*o + 23*o + q*o**3 - 19*o**3 wrt o?\nAnswer: 462*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c. Suppose -5*o = z + 5, 3*o - 5*z - 17 = 8. Let h be 3 - (c + o + -12). Solve 3*l - h = -0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23179, 92241, 207345, 368491, 575679?\n\"Answer: 23021*h**2 - h + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 726 from 3.\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 1076188.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 - 1820364*r\/5 - 276143757708\/5.\nAnswer: -3*(r + 303394)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viqogogivvogvvqvoo. What is prob of sequence oig?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.2 (b) -3 (c) -2\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847)*-4)**2*1 - ((-3*sqrt(7)*-6)**2 + sqrt(7))*2.\nAnswer: -2*sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 3. Let x(q) = 1 - 2*q - 2*q + 5*q. Let u(v) = -5*v - 13. Let c be u(-4). Suppose 0*b = c*b - 49. Determine b*x(i) + 2*n(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/6*4\/2. Suppose -m - f = -5. What are the prime factors of 246\/18 - m\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582535342 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-79 - -71 - ((1 - 2) + (5 - 1))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3845*l - 9594*l + 4611*l to w*l + a and give w.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 30*g + 62275. Let a be x(-235). Let m(z) = -z**3 - 6*z**2 - z - 4. Let l be m(-6). Let c be (0\/l)\/(1 + 0). Solve c = -a*k - k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*z = -88, -408 = -5*p + 2*z - 470 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:25 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3\/7 (b) 0.35 (c) 3\/13 (d) 11 (e) 5 (f) 1\/6 (g) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -414.3 - 2.1?\nAnswer: -416.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 2*c**4 - 1\/5*c**5 - 5*c**3 + 0*c**2 + 0.\nAnswer: -c**3*(c - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176810759.\nAnswer: 3, 130756751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 782 (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 60*n + 40. Let m be r(-24). Let v(l) = -328 + l + m. Let j(w) = -121*w**2. What is v(j(c))?\nAnswer: -121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -7, -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/61)*n**(-1\/5))**(2\/45))**11 assuming n is positive.\nAnswer: n**(-1562\/13725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 262*t - 54. Let m(d) = 2*d**2. Determine h(m(p)).\nAnswer: 524*p**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(-3*-2*sqrt(102) - sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102) + sqrt(102))*1)\/(sqrt(960)\/sqrt(10) - (sqrt(6) + sqrt(6)*-2)*-6).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15716.66 nanograms in kilograms?\nAnswer: 0.00000001571666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 20*x**3 + 20*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 2, n: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 19. Let h be v(-15). Suppose n - 3 = -1. What is the third derivative of -n*l**2 + h*l**3 - 4*l**3 - 2*l**5 wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - h + 15. Let m(f) = 2*f**2 - f + 8. Let g(a) = 5*m(a) - 3*t(a). Let u be g(4). Solve u*o - 6*o + 28 = -5*w, -4*w = -2*o + 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)*b*b*(b\/(b\/(b**3\/b)))\/b*b**(2\/19)\/b*b\/b**(3\/10) assuming b is positive.\nAnswer: b**(-227\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzmjtejrzemmt. Give prob of picking 1 e and 1 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10783190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048102 a multiple of 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*((sqrt(5) + sqrt(5) + -4)*-2 - sqrt(5))*5 + 1 + 4.\nAnswer: -35 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let d(l) = -2*l**2 + 3*l + 4. Let w be d(3). Let r be (-7)\/(-14)*(-2)\/w. What is the third biggest value in f, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crbc when four letters picked without replacement from {r: 2, c: 4, b: 1, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = 112*a - 1030 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*t**2*w - 2776516*t**2 + 2*t*w + 61*w with respect to w.\nAnswer: 187*t**2 + 2*t + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3894 + 7860. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 36.72. Let u = 0.281 + p. Let h = -0.0010005 + u. What is h rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-8)*(2*-3 - 0). Let y(p) be the second derivative of 0 + 6*p - 11\/2*p**2 - c*p**4 + 0*p**3. What is the first derivative of y(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1286686, 1286692, 1286702, 1286716?\n\"Answer: 2*r**2 + 1286684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021228276 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 950. Let j = 215 + -139. What is the highest common factor of j and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:36 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -33*x - 13*x**2 + 33*x + x**2. Let n(a) = -a. Give n(i(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -234.25 and -0.04.\nAnswer: 9.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 plus 20.1?\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14127 - 14116. Solve -2*r + 5*k + 23 = 0, -t*r + 6*r + 3*k + 29 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1543614\nAnswer: -4630842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 97, 98, 99, 100, 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/41 and 1\/(-9) - 552\/378.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75618215.\nAnswer: 5, 2617, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -76. Let a = -178 + 105. Let t = k + a. Calculate the remainder when t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -7*d + 645. What is the remainder when d is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -38018\nAnswer: 4\/19009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1511420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 c when three letters picked without replacement from lalddllaallacdc.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 191037921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -m - 92, -20*m - 5*z = -18*m + m + 260 for m.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5604, -20137, -44360, -78273?\nAnswer: -121876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6)*1*1))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 8, a: 4}. What is prob of picking 3 f?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) -2 (c) 4\/5 (d) -43 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181332 = -13*f - 23*f. List the prime factors of f.\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904213 is divided by 1207?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 19*z - 37. Calculate t(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 72 (b) -3 (c) -272 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 952\/5 + -190. Suppose 3*n - 1 = 8. Let b be (n\/2 + -2)*-2. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-230)\/1495*(-1885)\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/15*o**3 + 4\/15*o**4 - 32\/15*o**2 - 2\/15*o**5 + 64\/15 - 32\/15*o.\nAnswer: -2*(o - 2)**3*(o + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5\/3 + 19*d**3\/6 + 7*d**2\/2 - 2*d + 9. Let u(n) be the first derivative of i(n). Find the first derivative of u(r) wrt r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -633*b - 5028. Calculate l(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27735013, 55470024, 83205035, 110940046, 138675057?\n\"Answer: 27735011*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78693 and 16915?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10010110 (base 2) to base 13\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*r - 7*r. Let o(h) = -h**3 - 7*h**2 - 6*h - 4. Let a be o(r). Let l(n) = 6*n + 1. Let f(d) = d. Calculate a*f(g) + l(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -s + 6. Suppose -3688*u + 36669 = -34688 + 27101. Solve -k + u - s = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8236904?\nAnswer: 2, 13, 79201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 997165783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1322 and 154013.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = -1. Let g be 15 - (-2 + -1 + 3). Let z(m) = -m**3 + 29*m**2 + 3*m - 82. Let v be z(29). Solve -3*t = c - u*t + 3, -t = v*c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71977, 287899, 647769, 1151587, 1799353?\nAnswer: 2591067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.62*2052.631\nAnswer: -1272.63122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 1330?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 15*t = -7020. Let c be 351\/t - (-1)\/5. Let o = -0.08 + 0.38. Sort 2, o, 2\/3, c.\nAnswer: c, o, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*w + 0*w + 399 = 0, -238 = -3*p + w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -525 - -510.98. Let c = m + 14. What is the fourth smallest value in 0, -3\/4, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9711.129l to millilitres.\nAnswer: 9711129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -35, -63, -111, -185, -291, -435?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350012 is divided by 849.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72033974*i**2 - 962343540*i wrt i.\nAnswer: 144067948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y**4 - 2*y**3 - 5*y**2 - 3*y + 3*y**2 + 6*y**4 as o*y**2 + m*y**4 + d*y + r*y**3 + v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, z: 3, f: 7}. Give prob of picking 3 f.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -360*w + 3595. Determine z(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 4*b**2 - 5*b + 5. Let a be j(3). Suppose w = -3*o + a, 0 = o - 0*o - 2. What is the first derivative of -4*p + 3*p - w + 6 - 1 wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83004 and 7296.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -2538 = -1664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/120 + -83\/360. Let d = 2\/3 - 7\/6. Let v = 0.29 + 0.01. Which is the closest to d? (a) y (b) v (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1439 and 1443 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3 + 3 + 0*v**2 + 0*v + 3\/4*v**4. Find the third derivative of l(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.5 (c) 713990 (d) -2\/11 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 + 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 84*t. What is the remainder when g(5) is divided by 130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4428875 by -11.\nAnswer: -402625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9\/(-6))\/((-2)\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1934 divide 32278460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9. Suppose u = -4*q - h + 14, 2*h + 10 = 7*h. Suppose -32 = -q*i + 118. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - n - 2. Let h be w(3). Let v be 0\/((-2)\/h*2). Solve -2*d - 10 = -v*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 17*q**2 - 267*q - 4387. Determine p(-19).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1525, -2387, -3259, -4141, -5033?\n\"Answer: -5*o**2 - 847*o - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37122983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.0184\nAnswer: 0.0368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {k: 6, n: 1, m: 1, d: 11, y: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39753656 and -0.6.\nAnswer: 23852193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61678.44 millimeters?\nAnswer: 61678440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2. Suppose 0 = 4*r - 7*r + 12. Let p = r - 6. Let w be v(p). Put w, 5, -5 in decreasing order.\nAnswer: 5, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g = 85497 + 277724. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 27131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/5 + 212*u**4\/5 + 1028*u**3 - 6090*u**2 + 20619*u\/5 + 55998\/5 = 0. What is u?\nAnswer: -183, -34, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 + 5*a - 5. Let y = 7 - 5. Let k be 5 + -7 - (-14)\/y. Let q(f) = 10*f**2 + 7*f - 7. Give k*q(d) - 7*m(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 9, 2\/11, 0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -930561\/19 - -48995. Let m = -7751\/18962 - -7\/499. Let v = m - d. Find the common denominator of -107\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 15 = 8*k. Let l be (-2)\/6*3*1. Let v be (-25)\/(-1) + 1 + l. What is the highest common factor of v and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 649 divided by -6169\nAnswer: -649\/6169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -107 (b) 3.6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 7:30 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -400 + 1202\/3. Put q, 6, -3.4, 2\/7 in decreasing order.\nAnswer: 6, q, 2\/7, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113640?\nAnswer: 2, 3, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 - -16)\/(1\/1). Solve 32 = 4*k + 4*y, -t*k + 10*k + 4*y = 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*p - 2*d, 2*p + d = 3 + 7. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 3*w - 900. Let z be w\/1035*(-1)\/(-2). Suppose 3*u + 3*c - 15 = 0, 13 + 8 = 5*u + 3*c. Put u, -3, z in decreasing order.\nAnswer: u, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtv when three letters picked without replacement from {p: 3, w: 2, g: 2, t: 5, v: 8}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1443354 and 1254?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3 + 10*r**2 - 13*r - 24 = 0?\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1684 - 122. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 81. Solve 0 = -4*t + 3*t - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w**3 - 3*w**2 - 3*w + 1. Let c be n(3). Let z = c + -172. Let j = z + 25. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098 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: Does 2779 divide 966958608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30667 is divided by 1533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 74 + 581. Let j = 542 - u. Suppose 0*o + 2*o + 3*d = j, 2*o - 2*d = 378. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 2:13 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 971620511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -66, 3 in descending order.\nAnswer: 3, -48, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - 0) + 2\/1. Let s be -3 - (-1)\/(3\/j). Let z(u) = -2*u**2. Let a be z(-1). Put 5, a, s in descending order.\nAnswer: 5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95.4 + -95. What is the second biggest value in 2\/7, 2.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nff. What is prob of picking 1 f and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sybbsbsyyyyyyyyb. What is prob of picking 1 s, 1 b, and 1 y?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 3*w - 5. Let b be o(4). Put 3, 5, -3, b in ascending order.\nAnswer: -3, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 4)\/(8\/6). Suppose g - 52 = -x*g. Suppose -28 = -s + c, -2*s + 3*s - g = -2*c. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2819.383 and -5.\nAnswer: 14096.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -172, -30, 172, 434?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvw when three letters picked without replacement from vwwvvvv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lld when three letters picked without replacement from lpddpppddpdplld?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-6))\/(34\/(-51)). Solve 2*p - 3 = -5, 5 = r*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + -1.9. Let p = 5 + g. Which is the nearest to -0.1? (a) p (b) 1\/6 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 77771028 and 77771028 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-3)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 17*f**2\/2 + 722. Let v(x) = -17*x. Give -5*o(r) - 6*v(r).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 599394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}