diff --git "a/data/dm_maths/full_data_1/1334_11255.jsonl" "b/data/dm_maths/full_data_1/1334_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1334_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate -77013*0.37.\nAnswer: -28494.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**2 + s - 1. Suppose -3*z + 5*m + 28 = 10, -3 = m. Suppose k - t - z = 0, -k + 2 = -5*t + 5. Give l(k).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1438*m**2 + 473*m**2 - 88*m**2.\nAnswer: 1823*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 788620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 416*w**2 - 152656*w - 16147200.\nAnswer: -(w + 232)**2*(w + 1200)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69669, -139360, -209051, -278742, -348433, -418124?\nAnswer: -487815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 695120 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.84 + 6.84. Which is the second biggest value? (a) -0.1 (b) 87 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 12 - (-8 + 1) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102)*-2 + sqrt(102)) - -6*sqrt(102)*4)\/(sqrt(48)\/(sqrt(512) - sqrt(8) - sqrt(8)) + sqrt(294) + 1*sqrt(294)).\nAnswer: 30*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*x - 236*x + 66*x.\nAnswer: -314*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*g - 2*g = -5, -3*p - 15 = 4*g. Let n be p\/((-3)\/(-39)) - 1. Let h = 21 + n. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5418 >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190.82 + -3.82. Let z = 195.3 - a. What is z rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10099 (base 14) in base 3?\nAnswer: 1221212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -57*j - 33. Let c(p) = 7*p + 4. Let a(n) = -33*c(n) - 4*t(n). Let v(s) = -s. Give v(a(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 51?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 5*b**2. Let t be z(-5). Let m(k) = k**3 + k**2 - k + 198. Let x be m(t). Is 18 a factor of (-6)\/(-2)*x\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 507\/(-6) + (-1 - 1)\/(-4). Let n = 108 + s. What is the least common multiple of n and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11220411 (base 6) to base 5\nAnswer: 42014022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5410*u - 2735*u + 2492*u + 11390*u + 18565*u + 4824*u)*(1 - 2*u - 1).\nAnswer: -79892*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3048042 or -3048043?\nAnswer: -3048043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((207\/1104)\/(3\/10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 315401891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + p**2 + 0*p**2 - 1 + 1 + p**2 + 0*p**2 - 2*p**2 + 5*p**2 + (-1 - 2*p**2 + 1)*(-3 + 3 - 1) - 3*p**2 - 2 + 2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -20*s + 1482. What is the smallest common multiple of x(62) and 198?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x = 51*x - 3*r - 174, 8 = -4*r. Solve -x*g = -39*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 5*j**2 + 5*j. Let r(x) = -2*x**3 + 3*x**2 - 3*x. Suppose -7*f = -10*f + 15. Give f*r(p) + 3*u(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -472 - -471.98482. What is m rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64275 (base 8) in base 11?\nAnswer: 19166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/11)*a**(4\/3))\/(a**(-9)*a*a**1)*(a**(-1\/5)\/a)**(-16\/5)\/(a*(a\/a**(-2))\/a)**24 assuming a is positive.\nAnswer: a**(-49807\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*u + 44*u - 68*u + 444*u + 329*u.\nAnswer: 662*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1057 + -1048. Which is the biggest value? (a) 0 (b) h (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 10319516?\nAnswer: -10319514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302 is divided by 108.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446*y**3 + 20362574*y**2 - 20362574*y**2.\nAnswer: -1446*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 1100 - 8685. Suppose 0 = -4*p + y - 289. Is p\/4 - 2\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/292 and (2 + 78\/(-36))\/(28\/707).\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 86 - 56 = -2*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1047, 4097, 9181, 16299, 25451?\nAnswer: 36637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 111 (b) 0.09 (c) -6195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*-2*(-49)\/(-392)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23960875.51 rounded to the nearest ten thousand?\nAnswer: -23960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 - 47*b - 34. Calculate v(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2424 in 7\/2, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6197568129 to the power of 1\/2, to the nearest integer?\nAnswer: 78725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 319*d + 15. Let h(m) = -1597*m - 82. Give -2*h(o) - 11*j(o).\nAnswer: -315*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let g(w) be the third derivative of -61*w**4\/24 + w**3\/3 - 92*w**2. Calculate g(o(t)).\nAnswer: -122*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 11*g - 26197, u - 4001 = g + 22156. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*45\/27 - 5)\/(4*(-6)\/24). Determine b, given that s*b**2 + 3*b**4 + 2\/3*b**3 + 0*b + 3*b**5 + 0 = 0.\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-4 + (-1 - -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17096754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5006967.\nAnswer: 3, 7, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.9 * -4.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*h + 8 = 0, 0 = -2*l - h - 15 + 19. Suppose l = -25*k - 6*k + 470797. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 21*l + 55. Give n(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 56 = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-20)\/66) - 276\/690?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330*d**3 - 39*d**2 - d wrt d.\nAnswer: -1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + r = -1, 5*d - 4*r + 32 = d. Let x be 0 + (d - (0 - 1)). Let w be ((-12)\/x)\/(1\/7). Calculate the highest common factor of 63 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -49, 3\/8?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d**3 + 2\/7*d**2 - 32\/7*d + 40\/7.\nAnswer: 2*(d - 2)**2*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/8)\/(2\/(-892)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3329 - 3302. Let x(l) = l**3 - 5*l + 5. Let u be x(2). Suppose -3*f = -3, u*s = -f + 41 + 14. What is the lowest common multiple of b and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/8)\/(1\/6). Is -238*1*c\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -4*v**3\/3 + 624*v**2 - 97344*v + 2339. Suppose l(b) = 0. Calculate b.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.93 + -0.07. Let v = u + 2. Let d = -0.99979 + v. Round d to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88927, -355727, -800393, -1422925, -2223323, -3201587, -4357717?\nAnswer: -5691713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(8\/3)*(q**(3\/5)\/q)\/(q*(q\/(q*q**(1\/4)))\/q)*((q*q**(2\/3))\/q)\/(q**(-3)*q*q)*q**(-3\/8)\/q**(2\/13) assuming q is positive.\nAnswer: q**(8783\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v - 24. Let m(p) = -11*p + 36. Determine -5*m(b) - 8*w(b).\nAnswer: -b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 382*i\/9 + 388\/3.\nAnswer: -2*(i - 194)*(i + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 22 - (4 + (-4 - 3) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-3))\/4)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q = -57*q - 3*l - 9663, 3*q + 4*l = -9667. Let u = q - -4578. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*p**3 + 113*n*p*y**3 - 14*n*p - 6*n*y**3 - 2*n*y**2 + p**3*y**3 + 19*p**2*y**2 wrt y.\nAnswer: 678*n*p - 36*n + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 996, 999, 1004, 1011, 1020?\n\"Answer: p**2 + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 7*t**6\/120 + t**5\/15 + 7*t**2\/2 + 6*t. Let c(z) be the first derivative of w(z). Find the third derivative of c(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585451, 585257, 584921, 584437, 583799?\nAnswer: 583001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 23 = y. Let i = -39 - y. Solve 0 = 5*d - i + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-7\/10)*f))\/(f*f\/((f*f**(-7\/5)\/f*f)\/f)*f))\/(f\/(f*(f*f\/f**(-2\/25))\/f)*f*f**44\/f*f) assuming f is positive.\nAnswer: f**(-2431\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 8*r)*(-1 - 2 + 4)*(1 + 0 + 0).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6124, -4, -3, 1, 5 in decreasing order.\nAnswer: 5, 1, -3, -4, -6124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1163, -1168, -1177, -1190, -1207?\n\"Answer: -2*z**2 + z - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25\/3? (a) 0.5 (b) -4\/3 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.01, 135.\nAnswer: -3\/5, -0.01, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -5*b**2 + 9*b - 12. Let g be p(-3). Let r be (-8)\/(-36)*3 + g\/9. Solve r*z + 0*z = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176854510.\nAnswer: 2, 5, 7, 2526493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*p - 577. Factor 4*x**2 + p + 593 + 464 - 49*x - 87*x.\nAnswer: 4*(x - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.6 + -12. Let g = 6 - 5. Let q = i - g. Round q to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, a: 4, k: 1, h: 1}. What is prob of sequence kw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (-1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w - 1916 = -1671 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3 + 30 + 3 - 368227*p.\nAnswer: -368227*p + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.1355329 to one decimal place.\nAnswer: -25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627187239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24652000.\nAnswer: 2, 5, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -31, 4, -5\/4, -541?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 0.7. What is the closest to z in 1, 4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 - 2*n**2 - 4*n - 4. Calculate the remainder when 187 is divided by p(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5299 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(175) - sqrt(175))*-5.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -2. Let s be ((-8)\/(-6))\/(2\/6). Let m(y) = -s + 3*y + 2*y**2 - 2*y**2 + y**2. What is m(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j*p**3 - 949*j*p**2 + j*p - 2*j + p**3 + p**2 - 78819*p wrt p?\nAnswer: -18*j*p - 1898*j + 6*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n*s**3*y + 444*n*s**3 + 2*n*s*y - 3*n*s + 3*n*y - 62*s**2*y + 130 wrt s?\nAnswer: -12*n*s*y + 2664*n*s - 124*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dllq when four letters picked without replacement from {z: 4, d: 8, l: 4, q: 4}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**2*o**3 + 18*m**2*o**2 - 7*m*o**3 - o**2 wrt o?\nAnswer: 36*m**2 - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v**3 + 4*v**3 + 4*v**3)*(-5 - 31*v - 3 + 30*v) to the form a*v + c + i*v**4 + n*v**3 + x*v**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + x + 348 = 0, -2*h + 3*h - 3*x - 78 = 0. What is the remainder when h is divided by (-2)\/(2\/5) - (-207)\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03993 rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c - 113*c = -7 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*b - 40, -14 = 10*x - 14*x + 2*b. Suppose -x*j = -6640 - 116805. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57591793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/5 (b) -1\/4 (c) -245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 20. Let z be b(-8). Let c be 1*-2 + (-1 - -33). Calculate the greatest common factor of c and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1428674\nAnswer: 5\/1428674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 7, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(7\/((-28)\/(-32))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 240. Calculate g(-92).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.362 and -0.1?\nAnswer: 2.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1307519229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -291 (c) -60 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, g: 2, q: 1, a: 1}. Give prob of picking 1 g and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 1.9. Let c = 3.6424 + -1.932. Let v = g + c. What is v rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -427, -3352, -11289, -26746, -52231, -90252, -143317, -213934?\n\"Answer: -418*m**3 + 2*m**2 - 5*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 491 (c) -9 (d) -1\/2 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + 10*f + 7. Let p(b) = -7*b**2 - 19*b - 16. Let d(v) = -3*p(v) - 5*r(v). Give d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 11153*b - 426703. Determine i(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/18*389*(-284)\/4. Let k = -10748 - i. What is the common denominator of -26\/23 and k?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/14*(-588)\/7560*-1230.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83462.\nAnswer: 2, 29, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6283 + -5866. What is the remainder when w is divided by 139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -22*m + 5, f - 5*m - 24 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**2 + 7*z - 4085 wrt z.\nAnswer: -2*z + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-6) - 7\/(-21). Let q(x) = o*x + x - 3*x. Let g(a) = 3*a**2 + a**2 - 6*a**2. What is g(q(v))?\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/12 - 2*j**3\/3 - 2*j**2 + 6*j. Determine c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1001011111?\nAnswer: 1001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 - 2 = 0. Let n(a) = 50*a**3 + 2*a**2 - 3*a + 2. Is n(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4228 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19797882 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 5626179*o**2 + 11252349*o + 5626173.\nAnswer: 3*(o + 1)**2*(o + 1875391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 3621646.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from aanaanaaaaaa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26\/182 + (-12723)\/(-21) + 5?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 87*f**2 - 6*f**2 - 2*f**2.\nAnswer: 85*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + (-465)\/(-60). Let x be -2 - (19 - 2 - 0). Let w be 1 - x\/(-2)*-2. Solve w = -4*u + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 + -5 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26479 - -26487. Calculate the highest common factor of k and 1622.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371211323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 3 - 19) + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f**2 - 2*f**2 + 0*f**2)*(3 - 3 + 3) to the form v*f**2 + q*f + c and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6962.6578 days?\nAnswer: 994.6654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153445 - 131201?\nAnswer: -325050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 0 (c) -0.2 (d) -7623\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from qqqqqgqqqqqqqggqqq.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3726052 + -5304052. What is g rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9438\/1716*(-96)\/1496?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f**2 - 5*f. Let p(x) be the second derivative of -x**5\/10 - x**4\/12 + 5*x**3\/3 + 34*x. Give -5*m(v) - 3*p(v).\nAnswer: v**3 - 2*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (46 - (4 - 54))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-474912)\/1224*2\/8?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4*x**2 - 3*x**2. Let d(h) = -8*h. Determine d(p(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1847, 1844, 1841, 1838, 1835?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -2*p**3\/3 - 7*p**2\/2 - 204*p. Give q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926 (base 11) in base 16?\nAnswer: -45d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1340 - 1345 = 0. Let f(j) = -63*j**2 + 31*j - 30. Let p be f(c). Let t = -136 - -73. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/((-3)\/(-30)). Suppose d*l - 1 - 7 = 0. Suppose l*w - 13 = 3*b + 17, 26 = 2*w - 2*b. Calculate the least common multiple of w and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 2*u + 214 = -w, -5*u = 4*w - 161. Suppose -d + 27 = 3*f, 4*d = 2*f + 2*f + w. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 + (-5688)\/(-81). Suppose -3*x + 25 = -5*z, 5*x - 54 = 2*z - 6. What is the greatest common divisor of x and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/2 + 3*z**2\/2 + 13*z. Let f be n(2). Suppose 3*x - 3 + f = 0. Let h(a) = 2*a + 3. What is h(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 21*o = 288. Calculate the common denominator of 3*o\/18 - 237\/(-81) and -16\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43071 (base 8) to base 9.\nAnswer: 26584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-2))\/(16\/(-32)). Which is the nearest to -3? (a) g (b) 4\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 2. Let q = l + -6. Let u be 6\/6*(q - 2). Solve -d + u = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2249 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*f**2 + 69*f + 22.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30810 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: Is 1 greater than 2241.9327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -3b42d?\nAnswer: -3b41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -32, 6.\nAnswer: -32, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfffffdffddffd. Give prob of sequence fddd.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34\/171 - 8\/19. Let l = -2 - -2.1. What is the nearest to l in -1\/4, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422405 is divided by 12068?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 12:26 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 138421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6234326 and 4242.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044010?\nAnswer: 2, 5, 23, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 13*p**2 + 7*p - 3. What is the units digit of n(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gawwg. Give prob of sequence wag.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628 = -4*x + 5*n, 4*n = x + 5*n - 157. Let p = -82 + x. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x = -20 + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t*t**(-2)*t))\/t)\/t)**(-3\/7)*t\/(t*t**(3\/10))*t**(3\/13) assuming t is positive.\nAnswer: t**(-9\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3088998 by -3.\nAnswer: 1029666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 14*o**2 - 53*o - 36. Is 9 a factor of t(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 1. Suppose -137*s + 134 + 140 = 0. What is x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.32889, -2\/9, 0.7, 1, 4 in ascending order.\nAnswer: -0.32889, -2\/9, 0.7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1179141 to four dps.\nAnswer: -0.1179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 437, 893, 1349, 1805?\n\"Answer: 456*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**2 + 0 - 2*r - 1\/6*r**3. Let f be n(0). Sort 3, -3, f in descending order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31237 or 31236?\nAnswer: 31237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 130147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -72, 1380 in increasing order.\nAnswer: -72, -3, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0798011 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - 23\/(-2). Let r = 72 - 65. Let g = t - r. Let p(f) = -f**2 + 6*f + 2. Give p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 60280?\nAnswer: 421960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvevjccceeeeeee. What is prob of sequence vcvc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -7039121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102981588*k**2*z**3 + 31*k**2*z**2 - 24*k**2*z + 7*k + 7*z**2 wrt z?\nAnswer: 617889528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(45\/6)*4\/24*-42.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -210, -202, -192?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 - (-6 + 7 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 61. Let o(x) = x + 12. Let a(m) = 2*c(m) + 11*o(m). What is the units digit of a(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*m + 6*b + 1, 0 = 5*m - 2*b - 9. Which is bigger: 9\/97 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 235962, 235923, 235884, 235845?\n\"Answer: -39*v + 236001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) -2\/3 (b) -0.08 (c) -72\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 339*y**3 + 8058*y**2.\nAnswer: 3*y**2*(y + 34)*(y + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125771 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327294 divided by 99.\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434860 by 86972.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 - 19*i**2 - 14*i**2 + 39*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -991069.\nAnswer: 2973207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.92 - -8.9. Let x = o + 0.12. Let g = x - -1. Is 4\/11 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1056 and 3626832?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-93) + 1203\/93.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 10*w - 121. Is a(36) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9343 + -9254. Sort -5, 4, -1, z, 3 in descending order.\nAnswer: z, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 12. Let b be -2*3*4\/p. Suppose 6*q + 32 = -4*t, 661 - 672 = 3*q + t. Sort 16, q, 0, b in increasing order.\nAnswer: b, q, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12621964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -207 - -8?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -210, -212, -224, -252, -302, -380, -492, -644?\n\"Answer: -u**3 + u**2 + 2*u - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -2*m - 4*q, -15 = -5*q. Solve m*c + 8 = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimssmnsssiin. What is prob of sequence ms?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from ndnnnannnnnab?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*i = 782*i + 14220 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (1 - 1) + 71 + -78.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4. Let b(k) = -k + 9. Let s(u) = -4*b(u) - 9*z(u). Let m be s(11). Suppose -x = -m + 4. What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.326471 and -99807.2.\nAnswer: -99806.873529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 15*y. Let b(l) = -9*l + 338. What is the tens digit of b(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.5 and 73.\nAnswer: -1131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10722442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3099.327cm?\nAnswer: 30.99327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = 54 + 284 + 58 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 2 = -2 - 0. Let k(a) = a**2 - 2. Let u be k(4). Suppose -4*f + u*f + 274000 = b. Round f to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -11.3. Let u = -0.2 - s. Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = 4*o + 405. Let j be 54\/o - (-32)\/14. Suppose 2*f + j = 4. Is f at most as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-3 - (9 + -10)) - -31.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2950 + -2947. Let a(c) be the first derivative of 0*c**4 - 18 + 0*c**g - 13*c**2 + 4\/5*c**5 + 0*c. Find the second derivative of a(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -64*g - 1. Let n be i(-2). Suppose n = -4*r + 443. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 4 - (-8603 - 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 546 = -42. Let x be 64\/p + (0 - (-5)\/15). Let y(m) = -m. Let w be y(-1). Solve -x = -k + w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -4887248\nAnswer: 4887248","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 188*w + 228*w + 262*w - 528*w + 5250 = 0 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28661 and 286610?\nAnswer: 286610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4 = 0, 5*m - 7 = -4*q + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j + 9. Suppose -s - 32 = -6*s - 3*o, 3*s - 20 = -2*o. Let u(i) = -i - 1. Determine s*u(k) + v(k).\nAnswer: -2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 2*y - y + 2*y + 2*y - y + (1 - 1 - 2*y)*(3 - 4 + 0) - 2 + 5*y - 43*y + 72*y.\nAnswer: 41*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 5. Suppose -13*u + 9*u - 16 = 0. Calculate h(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-39)\/(-45))*(-76)\/(-399)*-70.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.02, -9842, -1\/6 in descending order.\nAnswer: 0.02, -1\/6, -0.4, -9842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1395 and 99\/4063790?\nAnswer: 36574110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1121 divided by -4986.\nAnswer: 1121\/4986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 37*d**2 - 100*d + 68. Let y be u(-34). Let z be (-21)\/(-3) + (-6)\/36*y. Solve g = -z + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 10 = 0, -4*h + 4*b = -21792. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -13. Suppose -15 = -12*v + y*v. Solve v*u = u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -7 - 29 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748001 times 1.2?\nAnswer: 2097601.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 15252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = 2*x, 0 = -n + 5*x - 25. Is ((n - 12762\/(-12)) + 1)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 1. Let u(x) be the second derivative of -2*x**4 - 4*x - 97. Calculate u(n(g)).\nAnswer: -24*g**2 + 48*g - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6371 - 11973 + 5168*z**2 + 4855*z**2 + 7045 wrt z.\nAnswer: 20046*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/2 - 27*i**3\/2 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -75*m - 4650. Let j be p(-62). Which is the fourth smallest value? (a) j (b) 9 (c) -4 (d) 3 (e) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494089 is divided by 1746?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 3, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -27.63, -4, 2\/5 in ascending order.\nAnswer: -27.63, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 2*v)*(4*v - 4*v - 2*v) - 2*v**2 + 0 + 0 + (2 - 2*v - 2)*(-2 + 2*v + 2).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 1428.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (36 - (7 + -35 + 0))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/13)*u)\/(u*u**(-10)*u*u*u)*u**(-6)\/u*u*u\/((u*(u**(-1)*u)\/u)\/u*u*u))**(-4) assuming u is positive.\nAnswer: u**(-112\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -56\/9*h**2 + 20\/9 + 6*h = 0.\nAnswer: -2\/7, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -7. Suppose -u = 3*m + 4, -10 = -5*u + 4*m + l. What is the second derivative of 2*v - 8*v + 2*v**2 - 2*v**2 - u*v**4 wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/12*6*16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) -1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/11 in -3, -5.4, -2, 108?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*h**4 + 36020*h**3 - 1320*h**2 + 5*h - 58 wrt h?\nAnswer: -264*h + 216120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*10\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41611531 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-20)*10\/2. Let l(k) = -3*k - 4 - k + 4*k**2 - r*k**2. Calculate the remainder when 49 is divided by l(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 3)*-49 + -3. Let x = -3731\/18 - f. Find the common denominator of x and -37\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9063ce - -5?\nAnswer: 9063d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -829b5?\nAnswer: -829c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 379 + 28. Let x = c + -408. Is x at least -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -30. Let h be (2 - -2) + (q - -2). Let c be 28\/(-12)*-3 - h. Solve 3*x = -c, d + 5*x = -0*x - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8461 - 23.3241. Round j to one decimal place.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6602 and 0.194.\nAnswer: -1280.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 9*z + 19. Calculate the smallest common multiple of k(8) and 30\/160*-4 + (-251)\/(-4).\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p = f + 22, -3*f = -p - 4. Let g(z) = 4*z**2 - 3*z + 4. Calculate g(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**22)\/(k*k**(-11\/3))*(k\/k**(-2\/11))\/k**(-18) assuming k is positive.\nAnswer: k**(28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 22. Let a = 1 - 0. Calculate the remainder when b is divided by a*9 + 18\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26036 (base 14) in base 16?\nAnswer: 16ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.4 + 9.4. What is the closest to -0.1 in -1, -2\/15, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 - -1126?\nAnswer: 1126.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (680\/1020)\/((-2)\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1 - -19438.956.\nAnswer: 19442.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -5 + -1 + (12 - 27)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 21 - 76 = 0. Sort -13, j, 4, -4 in decreasing order.\nAnswer: 4, -4, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**3 + 8*m**3 + 11598*m**4 - 11587*m**4 + 16*m + 17*m to the form t*m**3 + i*m**2 + o + v*m + x*m**4 and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2.71, 1.34, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 16, -2*k + 4*w = -k + 16. Let l(v) = -v**2 + 3*v + 5. Let i be l(k). Solve 7*f = i*f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294*d**4 - 3*d + 31?\nAnswer: 3528*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*x - 17, 2*x + 3*t - 13 + 1 = 0. Let o(z) = -9*z - 4 + x*z + 12 + 4*z. Calculate o(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4 + 3 + 0*x + 5*x - 8. Let c be 2\/5 + 342\/(-30). Let g(j) = -2*j + 3. Give c*g(s) - 4*z(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -96. Let n = 27 + g. Let f be (-13)\/n - (-3)\/12. What is the closest to 0.12 in f, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 610 = w. What is the remainder when w is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r + 3*r + 9*r + 1. What is the units digit of z(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -26. Let z be 0\/1 + 15\/g. Factor -z*d - 1\/4*d**2 - 1\/4.\nAnswer: -(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/4 - a**2 + 27*a - 20. List the prime factors of m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18305, 3, 7 in increasing order.\nAnswer: -18305, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d - 14*d + 66*d - 17*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/7 + 12*d**3\/7 - 2*d**2\/7 - 204*d\/7 - 27 = 0. What is d?\nAnswer: -3, -1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**2\/a)\/a))\/((a**(-6)*a)\/a))\/((a*a**(-1\/4)*a)\/a**(-1\/11))*(a*a**6*a*a*a**(-3))\/((a\/a**(5\/3))\/a**(-1\/4)) assuming a is positive.\nAnswer: a**(382\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 562 divided by 4\nAnswer: 281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -651\/26 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + c + 7, -2*v + 7 = c - 2. Solve w + 3*f + 10 = 0, -4*f - 20 = v*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 8. Suppose 2*y - 3 = y, -3*i - 5*y = -159. Suppose i = 3*c - 87. What is the greatest common factor of j and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-11)\/(33\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/68*(-1)\/(2\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68259.23 days to hours.\nAnswer: 1638221.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -38) + -13 + 6 + 15 + (-1 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116032 divided by 98?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381309 divided by -3.\nAnswer: 127103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, 1, -6, 0, -12, -4, -1 in descending order.\nAnswer: 1, 0, -1, -4, -6, -12, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*s**2*y - 49*m**3*s*y**2 + m**3*y + m**2 - 3*m*y + 9*s**2*y**2 + 21*s*y wrt y.\nAnswer: -98*m**3*s + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2013 - 1893. What is the lowest common multiple of 10 and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -255.29\nAnswer: -102.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*l**2 - 72*l**3 - 2354 + 2354 + l wrt l.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418226179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {g: 3, k: 1, b: 11}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w. Let s(i) be the first derivative of -11*i**6\/360 - 59*i**3\/3 - 84. Let u(b) be the third derivative of s(b). Calculate n(u(c)).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) -5 (c) 23 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3091\/3702 - 1\/617. Let q = -17.7 + 18. What is the nearest to 2 in 0.4, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 2*j**2 + 3*j - 3. Let g be q(2). Suppose 0 = -k + 4*r + 4, g - 4 = -5*k + r. Solve k = 4*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 554 divide 683686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**1*g)\/g))**(-14\/3))**(-21))**(-33) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -10*y = -11 - 59. Find the third derivative of -30 + y*z**2 + 30 + v*z**5 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 100*t + 264.\nAnswer: 4*(t - 22)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5921a (base 14) to base 2.\nAnswer: -110101000001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) -97 (c) 6 (d) -2\/21 (e) 3 (f) -1 (g) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 20. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -42*f**2 - 3. Let t be -8 + (4 - 13) + 20. Let m(d) = -85*d**2 - 7. Determine t*m(n) - 7*i(n).\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 25. What is the highest common divisor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -21902*o + 21898*o + 2*c, -6 = 8*o - 2*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 1 + 1 + 0*d + 3*d - 2*d + d - 2*d + 2*d + (1 + 2 - 4)*(1 - d - 1) - 2 - 2*d + 2 - 4*d + 8*d + 8*d)*(4 - 4 - 3).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85603 by 77.\nAnswer: 12229\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89381 is divided by 75?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.62 + -4.636. Let p be (6\/21)\/((-3)\/7). Which is the second biggest value? (a) p (b) -0.3 (c) -0.4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 1. Let k be m(8). Suppose -27 + k = -5*v. Suppose -4*c - v = -5*c. Sort -5, c, 1.\nAnswer: -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22217977\/(-115) + 1\/(-5). Round u to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-40)*2*328\/(-246)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -136*r + 142*r. What is the third smallest value in -4\/7, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/291 + -11585\/3201. Calculate the common denominator of (-290)\/12 + 4\/(-6) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*r = -23, -3*g + 2*g + 2*r + 12 = 0. Let j = g - 2. Solve -3*d + 2 + 4 = j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxavxxd. Give prob of picking 1 x, 1 d, and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 10 + 4. Suppose w*m = 2*g + 4, -3*g = g + m - 7. Let i(p) = 90*p**3 - 3*p**2 + 2. What is the tens digit of i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r - 22. Let p = 54 + -49. Let n(w) = -7*w + 15. Calculate p*t(l) + 7*n(l).\nAnswer: l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-1260)\/(-25)) - 3\/(-12). What is the second smallest value in i, -3, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 576.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208\/3 + -974\/15. Let c(x) be the first derivative of 0*x + 22\/3*x**3 + 10 + 0*x**2 + s*x**5 + 0*x**4. What is the third derivative of c(m) wrt m?\nAnswer: 528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2078 - -10393\/5. Let x be (-3)\/(-6) + 2\/4. What is the fourth smallest value in k, 5, x, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) -4 (c) 2 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i - i**2 + 2 + 2\/3*i**3. Find b such that h(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/3 (c) -0.0621 (d) 55 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Let m be (-1)\/y - (-21)\/(-12). Let d(t) = -2*t + 2. What is the units digit of d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -11, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/2, -2, 304976.059 in ascending order.\nAnswer: -2, 1\/2, 3\/4, 304976.059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8552 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133154779 to the nearest integer?\nAnswer: 11539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 9. Suppose 4*h - h - 11 = -5*f, 0 = 5*h - 4*f - 80. Let k be q(h). Suppose -k + 348 = 3*a. Calculate the highest common factor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/7)*j*j**(-1\/9))**(-4) assuming j is positive.\nAnswer: j**(-404\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -89*q**3 + 642*q**2 - 19*q - 28. What is p(7)?\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:55 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0408 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(5\/7)\/((r*(((r*r**(-16))\/r)\/r)\/r)\/r*r*r*r*r**(6\/25)*r) assuming r is positive.\nAnswer: r**(2158\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + g)*((g - 4*g + 0*g)*(-3 + 3 + 3) - 8 - 4*g + 8) to the form x*g**2 + u*g + a and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 220*i - 216*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-25))\/(109\/(-1635))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25019\/4 + -6252. Let f(k) be the second derivative of o*k**4 + 0*k**2 - 53\/20*k**5 + 0 + 0*k**3 + 42*k. Find the third derivative of f(t) wrt t.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*o + 32*o - 1449 = 57*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 412, -1951 in increasing order.\nAnswer: -1951, -3, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 (base 7) in base 2?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85700 greater than or equal to 1456913\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1292726207 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 n when three letters picked without replacement from tvtttttttttntttttt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 36 = 7839*s - 7837*s, 3*s = -5*d + 46 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 1938.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-3)*(-3)\/6*1. Suppose -30 = u*t - 13*t. What is the third derivative of -29*l**t - 101 + 54 + 27*l**2 + 47 wrt l?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3*(-5)\/90.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1681 - 3739 = -5*b + 3*k, -3*b - k = -3266. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 8. Let k(a) = 45*a - 633. Let w be k(14). Give f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y - 6. Let c(a) = -a + 1. Give -22*c(h) - 4*n(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:50 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7586 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + 3*k + (-1 + 1 - 3)*(-3*k + 4*k - 3*k))*(-k - 4*k + 0*k)*(659 + 56*k - 659) to the form l + w*k + n*k**3 + a*k**2 and give n.\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2670*f**2*i**3*o + 13*f**2*i**2*o - 639*f*i*o + f*o - 2*i**4*o + 5*i**3*o - i**2 wrt i?\nAnswer: -16020*f**2*o - 48*i*o + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 2*q + (-q - 5*q + 5*q)*(5 - 3 + 0) + 0*q - 3*q + 2*q - 15*q + 8*q - 2 - 4*q)*(3*q**2 - 2*q + 2*q)*(5 + 2*q - 5).\nAnswer: -96*q**4 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1659*c**3 - 263*c**3 - 213*c**3 + 2061*c**2 wrt c.\nAnswer: -12810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.366 + 0.184. Let c = -0.0113 - -0.4613. Let j = c + p. Sort 2, 3\/5, j, -5 in descending order.\nAnswer: j, 2, 3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*f + 3*b, -3*f + 45*b - 46*b + 14 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 310 = -30*h - 18*t + 11, 0 = -3*h + 14*t - 229 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1793205733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00456914502 to seven dps.\nAnswer: 0.0045691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7897 at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let b be (9\/(-39))\/(3\/(-2)). Let g = -67\/15 - -14\/3. What is the smallest value in b, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5514.37 times 4\nAnswer: 22057.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1281439 + 16672512\/13. Let l = 1063 - f. Let j = l - 128\/143. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -4*(sqrt(70) + -2*sqrt(70) + sqrt(70)) - sqrt(70))\/(sqrt(60)\/(2*sqrt(6))))**2*-1 - (0 + sqrt(252) + 0 + (-1*sqrt(56))\/sqrt(8) + 3).\nAnswer: -5*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:10 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7f (base 16) to base 7.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((22968\/(-112))\/99 - (-16)\/28) + 417\/270\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 78\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, -81, 379 in decreasing order.\nAnswer: 379, 128, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and 3.22.\nAnswer: 367.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135350912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let q(v) = 3*v**2 - 4*v + 5. Let x(h) = h**2 - 2*h + 2. Let i(g) = 2*q(g) - 5*x(g). Let p(b) = -i(b) + 2*k(b). Let f(t) = 11*t. Calculate f(p(j)).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 + 92. Does 41 divide (-18)\/99 + (-1993)\/(-11) - c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1041 and 1059147?\nAnswer: 367524009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 2*o - 3. Suppose -3*t - 1 = -h + 5, 2*h = 4*t + 6. Calculate the remainder when 107 is divided by w(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 231065 = 50751. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173\/3 > 21871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -17067530?\nAnswer: -17067519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prpr. Give prob of sequence prpr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300 (base 5) to base 6.\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 6*n**2 - 3*n - 7. Give h(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -5*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315354 is divided by 360?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-8) + 1614\/12. Suppose 0 = 7*i - 2*i - k. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 27*c + 274. Let o be n(-10). Solve 2*y + 4*r - o + 2 = 0, 6 = 2*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.52 - 14.32. Which is the closest to 19? (a) 3 (b) -3\/13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 - f. Let c(q) be the first derivative of -q**4\/4 + 2*q**3 - 2*q**2 - 11. Give c(y) - 6*g(y).\nAnswer: -7*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8427659*j**4 + 18549580*j**2 wrt j?\nAnswer: 202263816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61899 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 5*l**2 - 3*l**2)*(-2 + 1 + 0).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090488583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 3*g - 9. Suppose 4*a + 2*u + 10 = 0, 5*u - 26 = -1. Let f be m(a). Suppose 29 = 3*p - f. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = 3*i, -6*u = -u + 3*i - 5. Let l be (-9 - 2)*1*-2. Suppose 3*j + 2*z = 3*z + l, 3*j + z = 32. Solve 2*p + j + u = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 14 - 12)\/15 - 9\/(945\/642).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u + 16, -5*u = 5*t - 445. Suppose -s + 215 = 2*m, -4*s = m + s - t. Suppose 3*l + 2*l = m. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1936 > -507303\/262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**7\/735 + p**6\/35 + 3*p**5\/14 + 25*p**4\/42 + 2648*p**2. Suppose k(s) = 0. What is s?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q + 6 = 4*y, 9 = 3*y. What is the highest common factor of 14 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1671 + 8349\/5. What is the smallest value in 2\/5, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:54 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 4*h - 7*h)*((-1 - 3 + 2)*(17*h - 8*h + 25*h) - h - 3 + 3) as u*h**2 + b*h + i and give u.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*n - 14*b + n**4 + 2*n**2 - 1492*n - 576 wrt n.\nAnswer: 4*b + 4*n**3 + 4*n - 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 6916*v + 41568.\nAnswer: -2*(v - 3464)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 181*l**2 + 362*l - 724. Give p(-183).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(1377)*-1 + 3))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -17164?\nAnswer: 17162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7679 and 560.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1368*h**3*l**3 - 191*h**3*l**2 - 2*h**3*l + 5*h**2*l**2 - l**3 wrt l.\nAnswer: 8208*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 123251163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*o = 52, -3*o - 13 - 359 = -5*s. Let m be 40\/22 - (-8)\/44. Suppose -y - 2*y = k - 38, m*k - s = -2*y. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/4 (b) -2\/13 (c) -350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10411 + 18631. What are the prime factors of z?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/1155)\/(7\/(-308))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29042?\nAnswer: 2, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -44*f + 152. Calculate the highest common divisor of 76 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 10*i + 2. Let t be g(10). Suppose 6*k - 1 = -1. Solve k = t*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.03, -4.6, 1\/2, -1.\nAnswer: -4.6, -3, -1, 0.03, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4827, 19308, 43445, 77238, 120687, 173792, 236553?\nAnswer: 308970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - t - 33*t**2 - 76 + 75 + 3*t**4 to the form x*t**2 + y + b*t + w*t**3 + q*t**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 3*h. Let g be (((-106)\/3)\/h)\/(11\/(-66)). Let z(n) = -7*n**2 - g + 106. Let j(k) = -k**2. Calculate j(z(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.806 + -0.314. Let c = q - -0.12. What is the closest to 0 in c, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -58. Let c = -34.9999926 + n. What is c rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-1 + 6) - (0 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 555720.\nAnswer: 555720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from zzddcfdudfcc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1063 - -0.1937. Let d = 0.1 - 0. Put d, -2\/13, l in increasing order.\nAnswer: -2\/13, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 505.3652ug?\nAnswer: 0.0005053652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86.5601ms?\nAnswer: 86560100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31207 is divided by 182.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 7*p**3\/3 - 5*p**2 + 4*p. What are the prime factors of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12499 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 5*o + 5. Let x be b(3). Suppose 4*i = x - 28. Sort -8, i, 5.\nAnswer: -8, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5533 a factor of 912361789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 0*z**3 - z - 1 + 0*z**2 - 3\/4*z**4. Differentiate j(l) with respect to l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j*j**1))))**(6\/23)\/(j**(3\/2)\/(j**1\/j))*((j*(j*j*j\/(j*j**5*j)*j)\/j)\/(j**4\/j))\/(j*j**(-5)*((j**(-6)*j)\/j)\/j*j) assuming j is positive.\nAnswer: j**(103\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*l + 15 = -5, 3 = l. Solve -3*x + 4*t - 2 = -5, x = -3*t + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.2 - -4.9. Let f = g - -6.92. What is f rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/5 - 294*d**2\/5 + 1872*d - 17120 = 0.\nAnswer: 20, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i - 3. Let f be z(-2). Determine b, given that 5*b**3 - f*b**2 + 5*b**2 - 5*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2900 and 284532340.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) - 22\/42. Let y = 0.184 - -270.616. Let g = 271 - y. Sort g, 0, x in increasing order.\nAnswer: 0, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 5}. Give prob of sequence egg.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3011517466?\nAnswer: 2, 23, 65467771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 15134*t + 30276*t - 15136*t.\nAnswer: 6*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/6468*22 - (-57684)\/931\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -22. Suppose -r*m + 3 = -3*m. Calculate the least common multiple of (-2)\/(-9) + 2 + (-244)\/(-36) and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1360\/(-144) - (32 + -33)\/((-4)\/((-176)\/4)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 56*x + 5945. Let y be c(-106). Put 0, 1, -34, -4, y in ascending order.\nAnswer: -34, -4, 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 24.80555 minutes?\nAnswer: 1488333000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1392*s**5 - s**2 + 244*s?\nAnswer: -83520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23922 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -5 - 5 - -8. Let k be x + (-3 + 4)*-2. Solve -8 = -k*f - 2*v, -3*f + 7 + 11 = -3*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (1 - -3) - -2. Let q(v) = 3*v**3 - v**2 + v - 1. What are the prime factors of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2800)\/215 - (-491)\/21113?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31758327*x**2 - 19214604*x?\nAnswer: 63516654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 - 91*i)*(-274 + 349 - 281)*(2*i**3 - 2 + 2).\nAnswer: 37492*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -11 + 5. Is 25 a factor of r\/(-2)*(-55 + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24233 and 1089?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538286 is divided by 3738.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*j + 471*j + 484*j + 142 = 0 for j.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 485 (b) 571 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 3\/18869, -9, 0, -1\/2, 3\/5.\nAnswer: -9, -1\/2, 0, 3\/18869, 3\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -451 + 1107. Does 41 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 2*b**2 - 10*b - 20. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 k when three letters picked without replacement from xkkkkpkxktxkkpktkt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t + 10. Suppose -t*j = 4, 4*c + 2*j = c + 1. Let r be (3 - 7)*22\/(-8). Calculate the greatest common divisor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 7278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 6*b - 8. Let n(o) = -2*o**2 - 1. Let f(k) = -2*n(k) + r(k). Give f(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (0 + -2 - -17). Let h = 24 - m. Let s = 6 + h. What is the highest common divisor of s and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139304, -139325, -139348, -139373, -139400, -139429, -139460?\nAnswer: -139493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3*q*s + p**3*s + 2*p**3 + 23*p**2*s - 1770*p**2 - 3*p + 6584000*q*s wrt q.\nAnswer: -2*p**3*s + 6584000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 1, x: 1, s: 3, h: 2, m: 7}. What is prob of sequence hx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 2*h - h)*(3*h**3 - 4*h**3 + 3*h**3) + 433 - 15*h**2 + 17*h**2 - 436 + 2*h**3 - 9*h**4 to the form l*h + t*h**4 + f + s*h**3 + i*h**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-1)\/6). Let y(b) = b - 7. Let w be y(7). Suppose 0 = 4*p + 5*c - 25, -20 = 2*p - g*c - w*c. Solve -4*x = -p*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1216)*-5)**2 + -1*sqrt(1900) + 5.\nAnswer: -10*sqrt(19) + 1094405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258 - 256. Suppose -5*w + 34 = -6. Suppose -2*x = -3*x + w. What is the least common multiple of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1631, -2\/5, 1\/6, -2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.5 (b) 1\/5 (c) -10\/8279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170523\/178 + -958. Let i be (139\/8)\/(356\/(-100)). Let h = i - k. What is the common denominator of h and -1\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3625391 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -468.0000207 - -468. What is r rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112, 732, 3018, 7466, 14796, 25728, 40982?\n\"Answer: 120*o**3 + o**2 + o - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*w**4 + 7*w**4 + 11*w + 8*w**4 + (1 - 5 + 3)*(5*w**4 + 2*w**4 - 5*w**4).\nAnswer: -4*w**4 + 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 10. Let r = s + -15. Let y be (0 - 2)\/(0 + 4 - 5). What is the nearest to r in 0.4, 2\/19, y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72207, -11, -94 in increasing order.\nAnswer: -72207, -94, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5143212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -70, -9 in increasing order.\nAnswer: -70, -9, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 divided by -240?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16148417 divided by -2?\nAnswer: -16148417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -1\/23 (c) 1\/3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3 + s**2 + s - 6*s + 2*s - 3*s. Suppose -5 = -u - q - 2*q, -5*q = -5*u + 25. Give y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 21. Give w(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z**2 + 72*z**2 - 92*z**2.\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 14*b - 12. Let v be s(-4). Suppose -9 = -3*x - 4*o, 5*x - 4*o = x + v. Solve -3*i - x*i + 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 48 = 2*m, -3*m + 42 = -4*z - 76. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28696511221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25082329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 10\/37662681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-828)\/184*12\/(-10)*2\/(-1*6).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/53 in -0.3, -1\/7, 16, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 19. Suppose 8*g - 22 = -70. Determine r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.5914 * 4.\nAnswer: -34.3656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) + (-2)\/(-10). Let d(y) = 0 + s - 1. Let n be 9\/(-6)*(-4)\/6. Let q(r) = r + 3. What is n*q(z) + 3*d(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 253404087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d + 2. Let q = -4 - -6. Let g be (4*(-3)\/(-30))\/((-6)\/30). Sort q, g, d in descending order.\nAnswer: q, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33615 = 383824*r - 383409*r for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let h = 2 + p. Suppose -h*a - 5*x + 20 = a, 5*a + 5*x = 30. Solve a*i + 22 = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1125 and 292?\nAnswer: 328500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*q + 5*a, -6*q + 4*q + 59 = -5*a. Solve -q*o = -11*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394 - -397. Suppose 0 = -y + v, -45 = p - 4*p + 5*y. Solve p = 3*b + b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*(r**2 + 65316*r**4 - 36*r**2 + 0*r**2 + 33*r**2 + 2*r**2).\nAnswer: -130632*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595.805kg in milligrams?\nAnswer: 2595805000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -32 - (-269 - -262)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(0*w**4 + 7*w**4 - 3*w**4) + 2*w**3 - 69*w**4 - 80*w**4 + 168*w + 151*w**4.\nAnswer: -14*w**4 + 2*w**3 + 168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*q - 20 - 30, -5*a = 4*q - 98. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79553 is divided by 600.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14211 is divided by 11138?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/7)\/o*o)*o*o*o*o*o*o**(-4\/13)\/o*o*o)**50)**(-29) assuming o is positive.\nAnswer: o**(-694550\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -88205 + 0.9?\nAnswer: -88204.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(1815))\/((sqrt(300)*2 + sqrt(300) - sqrt(300))*-2).\nAnswer: -33*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.98 - -265.02. What is the second smallest value in 5, -2, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9131 = -2*p - 26581, -13977 = 4*a + 5*p. Let l be ((-18)\/(-4))\/((-24)\/a). Is (-8)\/(-2) + l\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, e: 1, r: 5, j: 4, p: 1}. Give prob of picking 1 y, 1 p, and 2 r.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 956078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2. Let g(a) = 791 + 3*a - 933 - 4*a. Determine p(g(d)).\nAnswer: 2*d**2 + 568*d + 40328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -231, -465, -699, -933, -1167?\n\"Answer: -234*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5178876*s**3 - 155697800 wrt s?\nAnswer: 15536628*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5469, 10936, 16403, 21870, 27337?\nAnswer: 32804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:12 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 8*h - 10. Let n(r) = -6*r**2 - 8*r - 11. Let z(q) = 7*i(q) - 6*n(q). Let u(p) = -p - 1. Calculate 6*u(m) - z(m).\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 8, 3*r + 149 = -5*t + 267. Calculate the remainder when 761 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 13*c\/2 + 315\/4.\nAnswer: -(c - 35)*(c + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34177?\nAnswer: 11, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, -125, -238, -417, -674?\n\"Answer: -2*w**3 - 15*w**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2483235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 292044536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 305600535 to the nearest 100000.\nAnswer: 305600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196941489.\nAnswer: 1196941489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*b + 6*b. Suppose 30*y + 243 = -507. Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.0972 (c) 21 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 0*c - 24*c + 3*c + 8*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 + 24*h. Let l(n) be the second derivative of -2*n**4\/3 - 8*n**3\/3 + 5*n. Let p(c) = 8*l(c) + 5*m(c). Factor p(s).\nAnswer: -4*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36881.54l in millilitres?\nAnswer: 36881540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeieuineeeneiueuieu. What is prob of sequence eenn?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 26*j**2 + j + 2. Let w be u(1). Solve w*q - 26*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.6 + -21. Let l = y + 0.4. Put 0.2, 0.5, l in ascending order.\nAnswer: l, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-2) + 3 + 72\/(-16). Let r = -0.14 + 0.23. Let m = r + -4.09. What is the nearest to 1 in l, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 5*n + 75 - 90, -60 = -5*k - 2*n for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 - -3.1. Let l = 1.7 - g. Which is the second biggest value? (a) l (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204900 rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002847417 to five dps.\nAnswer: -0.00285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.04 + 0.44. Let w = 4 + j. Which is the closest to 1? (a) -5 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262906 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.142138325 to 4 decimal places.\nAnswer: -2.1421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6000 = -91*r + 86*r. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 15*o**2. Let p be ((30\/12)\/5)\/(1\/(-2)). Give w(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:42 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1421645571035 + -60\nAnswer: -1421645571095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 792 - 795. Suppose -1 + 0 = -d. Put d, p, -4 in descending order.\nAnswer: d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1343950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3002 = 11*q - 4137. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 31*x - 34*x - 9*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 604197949 divided by 5?\nAnswer: 604197949\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 18*o**3 - 4*o**2 + 12*o - 41. What is the remainder when j(3) is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -115, -174, -235, -298?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, w: 6, k: 1, j: 4}. Give prob of picking 2 a and 2 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 2. Let a be w(-6). Let g(v) be the third derivative of -v**6\/120 - v**5\/15 - v**4\/8 - v**3\/2 - 3*v**2. Is g(a) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101161 + 101178. Suppose -2*t = 3*s - 28 + 5, -t + 3*s = 11. Sort t, g, 3 in decreasing order.\nAnswer: g, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(32))\/sqrt(2).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53209.89 rounded to the nearest 100?\nAnswer: 53200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*u + 8 + 7 = 0, -15 = -4*t - 5*u. Suppose 36 = -3*o - 2*k + 523, 5*k - 25 = t. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - p**3 + 2*p**3 + 30 - 5 + 19. Let r be a(0). Let n be (1\/(3\/33))\/1. Calculate the highest common divisor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178953944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46135450789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44361.81 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*f + 2526*f + 760*f to z*f + g and give z.\nAnswer: 3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/28971950 and 59\/70150.\nAnswer: 28971950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*i - i - 8, p - 4*i + 16 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-7 + -1) - (108 + (-80 - 99)) - 12.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391 - 1391 + 325*q.\nAnswer: 325*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 26.48\nAnswer: 5.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**7\/315 + n**6\/30 - 3*n**5\/20 + 3*n**4\/8 - 23*n**3\/3 - 7. Let o(x) be the third derivative of r(x). Factor o(y).\nAnswer: -(2*y - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1823904 by 33776.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -55*v**3 + 19*v**2 - 41*v - 40. Let n be z(24). Round n to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -835385918 times 2\nAnswer: -1670771836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 - 30391?\nAnswer: -30315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49403 and 58739.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**2 + 10 - 3 - 9 - 180*f**2 - 8*f**2 in the form x*f + d*f**2 + m and give d.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*w = 3*x + 8, -w + 18 = -4*x. Put -0.1, 0.5, x in descending order.\nAnswer: 0.5, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50596 + 50159.09. Let l = i - -437. Let u be (2\/10)\/((-4)\/(-5)). Sort l, 5, -1, u.\nAnswer: -1, l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111831548.\nAnswer: 2, 277, 100931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14145 = 3*j - 353775. Let v = j - 163208. Let a be (-2 + v)\/(1\/(-72)). What is a rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -523431610 + 11?\nAnswer: -523431566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 132, 5, 2, 4, -2, 143 in descending order.\nAnswer: 143, 132, 13, 5, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*w + 4598 = 204*w + 316*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3900)*-2)\/((1*sqrt(432) - sqrt(432)) + sqrt(432)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 417*m**2 + 5126*m**2 + 567*m**2 as g + w*m + u*m**2 and give u.\nAnswer: 6110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 7*a - 2*a)*(-a - 4*a + 4*a)*(-9622*a - 17352*a + 43036*a) to the form u + o*a**2 + n*a + c*a**3 and give c.\nAnswer: -32124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213\/20 + 1451\/140. Which is greater: -3735 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m**2 - 24 - 4*m + 136*m**2 - 16*m**3 - 66*m**2.\nAnswer: -16*m**3 - 4*m - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*j - 3*x, -4*x = -5*j + 46 + 17. Let p(y) = -30*y - 1. Calculate the remainder when p(-1) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819876 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/63 + 37\/7. Solve d*z = 3*u - 0 + 1, 4*u = -4*z - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 232\/80 + (-3)\/(-30). Let h(w) = 2*w - 24. Let d be h(22). Suppose -11*v = -21*v + d. Solve -2*f = -z*i + 7 - 3, -4*i = f + v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136368 divided by -16?\nAnswer: 8523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4729, 19072, 43021, 76576, 119737?\nAnswer: 172504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 - n + 4)*(-8594 + 20596 - 8237) in the form z + x*n and give z.\nAnswer: -7530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 + -170. Let g be 0\/(-30)*1*(-1)\/2. What is the second smallest value in g, j, -9\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14350343.\nAnswer: 7, 269, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -8. Let u = -242 - -232.1. Let f = -10 - u. What is the nearest to f in p, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3151\/15 - -1679618\/7995. Let d = 5085\/333458 - -5422604879\/1066398684. Let t = w - d. Calculate the common denominator of 97\/4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 8*j**2 + 61*j**2)*(-2 - 1 + 6).\nAnswer: 186*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 862.\nAnswer: 5\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199761237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -442393\/53442 - -2\/8907. What is the common denominator of b and -53\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/370 and 11\/13.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1145 + -554. Let l = a - 616.1. What is l rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 22*z + 43. Let w be a(20). Is 84\/43 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-3*5*1*sqrt(1152) + 3*(1 + sqrt(1152) + -2))**2).\nAnswer: -995376 - 10368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3*y - y)*(31 - 52 - 93) to s*y + b and give s.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 2)*(9 + 1 - 1)*((8*r + 2 + r**2 - 8*r)*(-4*r - 2*r**2 + 4*r) - 7*r**4 + 0*r**4 + r**4).\nAnswer: 360*r**4 + 180*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-36)*9\/(-2 - 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-5)\/((-15)\/(-72)). Let v = -28 + p. What is the least common multiple of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 8664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 143. Let u = 22 + -9. Calculate the remainder when s\/(-4) + (-539)\/(-22) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 966249946 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, -409?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -27551 and -0.1.\nAnswer: -27551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - 76. Determine n(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.38 (c) 2.51 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12 - 2\/((-72)\/291))\/(76\/456)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -8*n + 27. Let l(j) be the first derivative of -j**2\/2 + 6*j + 4. What is the smallest common multiple of l(-4) and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (-1 + (-3)\/(-9))\/((-4)\/150).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/28*((-24235)\/148)\/5\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 0.032\nAnswer: -1.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(8\/(-80)) - 0. Let z(x) = x - 7. Determine z(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-984)\/(-36))\/(2*(-2)\/5*660\/792)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -5, 11945, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -32, -139 in descending order.\nAnswer: 3, -32, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 2. Suppose -5*f + y = -15, -3*f + 3*y + y = -26. Let m be (5 + f\/(-1))\/(-1). Is h(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 177140 + 326448 - 149308.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185477 - 86378. Suppose -22021 - y = 8*w. Round w to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -418503998\/7 or -59786284?\nAnswer: -59786284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 8825.\nAnswer: -247100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l - 50*l - 174 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 3*o**2 + 2*o - 1. Let r = -12 + 8. What is the units digit of a(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005672 to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 24. Let n = -151 - -153.31. Let g = n + -0.31. Which is the closest to 0.04? (a) s (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 3891777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctkk when four letters picked without replacement from {m: 1, c: 1, g: 1, k: 2, b: 1, t: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 7*s + 21. Let y be v(-6). Suppose 0 = -28*w + y*w + 17719. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624665?\nAnswer: 3, 5, 7, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5*g)\/((g\/(g**8\/g))\/g*g))**(5\/17))**(-38) assuming g is positive.\nAnswer: g**(-2280\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/5 + -2\/5. What is the third smallest value in 1, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*i - 165*i + 296*i as g*i + d and give g.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47561?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1616a - -5?\nAnswer: 16173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.83 + 7.86. Let g = -4 - w. Let z = -0.13 - g. Which is the nearest to -0.2? (a) 0.2 (b) -2\/21 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhuuhuqhc. What is prob of sequence huh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d + 11. Let a(w) be the third derivative of 31*w**4\/24 - 19*w**3\/2 - 3*w**2 - 4. Let p(m) = 2*a(m) + 11*r(m). Calculate p(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -c. Let t = c - -4. Suppose t = -r + 3*r. Solve 12 = 5*q - q - r*j, -5*j - 11 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 2. Let t be q(-4). Let k(b) = 2 - 5*b**2 + 9*b**3 - 10*b**3 + 1. Let v be k(-5). Put 1, t, v in decreasing order.\nAnswer: v, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -584, -11\/9, 0.5 in decreasing order.\nAnswer: 0.5, -11\/9, -584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 155, 54, -177, -538, -1029, -1650?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -1099502?\nAnswer: -1099507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 3*i - 27. Let t be n(7). Calculate the remainder when (-2)\/4 - (-69)\/6 is divided by ((-18)\/10 + t)\/(24\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0 + -1 + 3. Let s be 2\/3*(7 + -1). Let u = -648 - -650. Solve -a*b - s = -u*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28924608, -28924610, -28924612, -28924614, -28924616, -28924618?\nAnswer: -28924620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 6. Let c = o + 12. Suppose 5*s - c = 19. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 2:07 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400224, -400538, -400852, -401166?\nAnswer: -401480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 5*r**2 + 6*r**2)*(0*r**3 - 4*r**3 + 2*r**3) + 2*r**3 - 2*r**3 + r**5 + (1 - 2 - 1)*(4*r**3 - 4*r**3 + 2*r**5).\nAnswer: -37*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/8)*j*j*j*j**(-2\/17)\/j*j*j**(2\/13)*j*j\/(j\/(j**(1\/5)*j)))**(-30\/11) assuming j is positive.\nAnswer: j**(-15939\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.9, 1\/3, -0.5, -5, 7, 67\/673?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21881339 + 15*x**2 - 21881339.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/57 - ((-2 - -3) + 0)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -279, -542, -887, -1314, -1823, -2414?\nAnswer: -3087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233189283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672112 + 0*s + 0*s - 34*s**2 - 672122 + 1344234.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 6*p**3 + 18*p**3 + 4*p**3 + 3*p**3 - 6*p**3 - p**3 + 0*p**3 + 2*p**3 + (-p + 0 + 0)*(-2*p**2 - p**2 + p**2))*(5*p + 15*p + 14*p).\nAnswer: 884*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.897 - -13.51. Round f to 1 decimal place.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 - 295*x = 0.\nAnswer: 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 2*p + 7)*(-1 - 4*p**3 + 6*p**3 + 3*p**3 + p**2) in the form w*p**2 + r*p + j + v*p**3 + b*p**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 143273950 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: Calculate (2\/(-3))\/((-5)\/300*8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 + 1142. Let x = q + -593. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1136*f**3 - f**2 + 2*f - 45567.\nAnswer: -6816*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l + 6. Let h be q(7). Suppose -39 = -3*k + 2*p, 4*k + 2*p = p + h. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from voovnvndyvvvon?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 + -1 - (-16 + 16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-11)\/(55\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + (-686)\/(-42). Let k = g + -21. Suppose -20 + 8 = q + 3*v, 5*v + 21 = -2*q. Which is the third smallest value? (a) k (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/4992*120)\/(-175).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/7, -1, -0.32, -11\/10, -3.1, -0.03?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -260, -1047, -2360, -4199, -6564?\n\"Answer: -263*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhy when four letters picked without replacement from yyhyyhhyyyh?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73370 is divided by 9147?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/12 - 1\/4. Let o(k) = -k**2 - 6*k - 7. Let v be o(-4). What is the second biggest value in v, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123\/5, 4, 16427, 0.1 in increasing order.\nAnswer: 0.1, 4, 123\/5, 16427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058464 less than 0.0072?\nAnswer: -0.051264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 47359004 = -a - 0*a, -5*m = a + 47358990. Round a to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/7 - 587074*y\/7 = 0?\nAnswer: 0, 293537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-33) - (-9)\/(-11). Let j be 6 + -6 - (p - -1). Which is greater: j or 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + 3 - (-3 - -5) - (23 + 5 + -28).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64790564 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/20)\/(2\/10). What is the smallest common multiple of (-60)\/a - (-2)\/3 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 946070397 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 4*z**3 + 2*z**3)*(16*z + 133 + 141 - 275).\nAnswer: -16*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 434636.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -18 + 8 - 5*c + 2 + 4*c. What is d(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/101 and 4\/11?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 - 121 - 692545*o**2 + 690462*o**2.\nAnswer: -2083*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11717240 plus 214?\nAnswer: 11717454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 1. Let v(m) = -6*m - 2. Let k = -140 - -135. Determine k*j(i) + 3*v(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.1245 + 0.1245. Let u = 22 + -15. Let y be 3\/u + 1\/(-1). Which is the third biggest value? (a) y (b) -4 (c) z (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4272 is divided by 175?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**2 + 40*t. Let x(n) be the third derivative of n**4\/24 - 136*n**2. Give x(o(v)).\nAnswer: 7*v**2 + 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4))**27*(b\/b**(-18)*b)**(-45))**(-2\/11) assuming b is positive.\nAnswer: b**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 383 = -3*a, 0 = -4*a - 5*u + 120 + 386. Sort 6\/5, 5, 2, 0.4, a in ascending order.\nAnswer: 0.4, 6\/5, 2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28554.7 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*-2 - sqrt(136))\/(sqrt(48)\/(sqrt(6) - sqrt(96))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 49 + 5*z**2 + 18 - 5*z**2.\nAnswer: 6*z**3 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1280274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -8*r - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + sqrt(162))*5*-5 + -2)**2.\nAnswer: 34650*sqrt(2) + 107179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 3 (c) 4 (d) -5\/4 (e) -292 (f) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 - 56819*z**4 - 13408184*z**3\/3 + 9393304*z**2\/3 + 30199952*z\/3 + 12019376\/3 = 0. What is z?\nAnswer: -79, -2\/3, 2, 19018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t - 3. Let j(r) = -r**2 - 6*r + 4. Let a be j(-6). Suppose 4*q + y = -q - 14, a*q - 3*y = 4. What is the remainder when p(q) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*g)*(2*g + 11*g + 67*g)*(0 - g + 0).\nAnswer: -320*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.07 + -0.07. Let p = q + -1. Sort 0.5, -2\/7, p in increasing order.\nAnswer: -2\/7, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 9*x**2 + 56*x + 552. What is j(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 347*x**4 - 348*x**4 + 39*x**3 - x**3 + 0 - x**4 + 0 - 6*x**4 + 5*x**4 + 4*x**4 + (2*x**3 - x**3 - 3*x**3)*(0*x - x + 3*x).\nAnswer: -3*x**4 + 38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 74*k + 6909 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -416*p**3 + 34*p**2 - 10*p - 13. List the prime factors of c(-2).\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q**2 - q)*(136*q**2 - 135*q**2 - 71*q**2)*(1 + q - 1) + (0*q**3 - 4*q**3 + 2*q**3)*(0*q + 0*q - 2*q**2) - q**5 - 4*q**5 + 6*q**5.\nAnswer: 145*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxxxfxhhhzxxsxxxs. Give prob of sequence shhx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2544.649382 rounded to the nearest 10?\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-4)\/(-2)) + 13. Let y be (-5)\/(-1) + 2 + -4. Suppose 0 = -4*b - 16, -7*d = -y*d - 5*b - 548. Calculate the highest common divisor of s and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 525.67 + -525.17. Let x = -23\/15 - -6\/5. What is the closest to -1.4 in 0, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - q)*(-12 + 281*q + 1 - 285*q).\nAnswer: -8*q**2 - 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by -410\nAnswer: 37\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*3*1\/3. What is the units digit of -1 - (0 - (y - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 61*l + 1050. Does 72 divide s(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-117)*(-90)\/75. What is the second biggest value in w, -4.4, -0.3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4727\/10 - 475. Calculate the common denominator of ((-24)\/15 + 2)*(-2555)\/(-28) and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.9 - -17. Which is the closest to i? (a) 0.3 (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -18. Suppose 2*f + 17 - q = 0, -f = -2*l + 189. Let i = l - 35. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 80. What is the smallest common multiple of 60 and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336239, 336272, 336303, 336332, 336359?\nAnswer: 336384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201 - 10130?\nAnswer: -11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + n = -19, -5*n - 3 = -4*s + s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/19441 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 58 + 31 = -37. What is the biggest value in 1\/717, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t. Let i(v) = 30*v**2. Determine p(i(h)).\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -844 by -4.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let c(t) = 30400*t. Calculate y(c(s)).\nAnswer: 30400*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-774)\/30 + 1\/(-5). List the prime factors of 2 - 1 - i\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 + 6 - (-8 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + 10\/4. Suppose -b + 1 = -v. Suppose 0 = -2*q - 5*t + b, -q - 2*q + t = -6. Calculate the highest common factor of 14 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -114. What is the second derivative of 5*s + 13*s + 3*s**h + 14*s**3 wrt s?\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6555 - 6554. Do d and -1\/1249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 7. Let k be i(4). Suppose -w + 47 = -3*u + k*w, 3*u - 2*w + 43 = 0. Let m = -9 - u. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.15 times -2?\nAnswer: 442.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*k + 2737 = 78*k - 4743 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-233)\/(-1) + (3\/3 - 3). Suppose -3*w - p = 28 - 185, -x = -4*w + 3*p. What is the remainder when w is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -594 + 593.665. Let a = -0.535 - l. Which is smaller: a or 50?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3770 take away -0.22598?\nAnswer: 3770.22598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 89 = -j, -5*y + 67 + 20 = -3*j. Let i be (6\/y)\/(2\/12). Factor 1 + w + i - w**2 - 3.\nAnswer: -w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699042 (base 12) to base 16\nAnswer: 19ddf2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) + 123419978\/33. What is o rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 12*f - 19. Give m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -556 * 5\nAnswer: -2780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 21 = -2*j + 5*g, 0 = 3*g - 15. What is the lowest common multiple of (-51)\/(-9) - 8\/12 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2080)\/(-140)*1*35\/(-10)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -22.84. Let n = 71 + -71.147. Let j = n - q. Round j to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152308 divided by 404?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 3400?\nAnswer: -33db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9327374 divided by -14?\nAnswer: -666241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3505249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - y**2 + 6*y**2 - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1451, -1, 79, 2 in increasing order.\nAnswer: -1, 2, 79, 1451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*t + 10109 - 4585 = 1081 - 15650 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 171353, 171360, 171379, 171416, 171477, 171568, 171695?\n\"Answer: j**3 + 171352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlzzzhlzzhzllzlz. Give prob of sequence zhzz.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -86?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m + 34. Give h(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -234*h + 1299. Let g(d) = 124*d. Determine p(g(y)).\nAnswer: -29016*y + 1299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:53 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1701\/(-28))\/81*(-84)\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 367, 1340, 2909, 5068, 7811, 11132, 15025?\n\"Answer: -p**3 + 304*p**2 + 68*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 322*70\/10780*-33?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 815 and 55?\nAnswer: 8965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/2030 - -11\/203. Calculate the common denominator of 143\/522 and f.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6247?\nAnswer: 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549.95 hours in minutes?\nAnswer: 272997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 362*y**2 - y - 108. Let r be i(-7). Suppose -4*q - 3*t - 4084 = -r, 5*t = 3*q - 10172. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 4 + 3*j - 4*j**2 - 6*j**2 + 2*j**2. Let d(m) = -3*m**2 + 2*m + 3. Give 6*d(c) - 4*w(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7079\/10 - -720. Calculate the common denominator of 501\/(-14) + 6\/21 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*41\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 - (-91)\/(-70)*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 10237?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 1, e: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343223 is divided by 247.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5691\/(-84) + 68 + 1*724\/(-16)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 5663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-5609)\/(-284) - 366\/(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2.117, 1, 11\/21, 2 in descending order.\nAnswer: 2, 1, 11\/21, -2.117, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-27 - -10) + (2 - (0 + -2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/23)\/d)\/d)\/d*d\/((d\/(d\/d**23))\/d)*d\/(d*d*(d\/((d\/d**(1\/3))\/d))\/d)*d*d*d**(17\/3)*d*d assuming d is positive.\nAnswer: d**(-1087\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 50. Is (j\/(-1) + -1)*479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3175 + 4968. What are the prime factors of r?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -345534, -345455, -345378, -345303, -345230?\n\"Answer: -b**2 + 82*b - 345615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 192*z\/7 + 4640\/7.\nAnswer: -2*(z - 116)*(z + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*d + 56. Let q(h) be the third derivative of 2\/15*h**5 - 3\/8*h**4 + 14*h**2 - 1\/120*h**6 + 0 + 0*h + 1\/3*h**3. Determine q(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 548*f**2. Let g(m) = -9060*m**2. Give g(b(o)).\nAnswer: -2720754240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, f: 1, p: 1, m: 3, s: 6, o: 5}. What is prob of picking 2 q, 1 f, and 1 p?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 245*o**4 + 36005*o**3 - 796740*o**2 - 3709180*o + 152720 = 0?\nAnswer: -166, -4, 2\/49, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 1, m: 1, k: 4, a: 3}. Give prob of sequence ikkq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 2204, -125 in descending order.\nAnswer: 2204, -106, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 174*(-1)\/2*1. Let s = 19787 + -19875. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-63)\/(-27) - 1\/3. Suppose 4 = s*l, 765 + 137 = 4*i - 3*l. Is i a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34340976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 18 = -54. Let r = 19 + -23. Let b be (6\/(-50)*-1)\/(u\/r). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1831.\nAnswer: -183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906, -3851, -9320, -17769, -29654, -45431, -65556?\nAnswer: -90485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 1, i: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56381?\nAnswer: 13, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {v: 1, z: 1, g: 1, d: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 11*k - 1 + 0 - 62*k**2 - 5*k - 4*k in the form h*k**2 + a*k + i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -74, -291, -714, -1415, -2466, -3939, -5906?\n\"Answer: -12*l**3 + 5*l**2 - 14*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-47)\/(-658))\/((15\/2)\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 0. Suppose 3*z = -z - 3*q + 11, -z + 5*q = d. Solve 8 = 4*h + z*f - 12, -11 = -h - 2*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a720 + 1?\nAnswer: 3a721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/12 - 7*s**3\/6 + 2*s**2 - 3*s. Calculate the remainder when 18 is divided by a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 302851, 302845, 302843, 302851, 302875, 302921, 302995?\n\"Answer: v**3 - 4*v**2 - v + 302855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 - 165 - (-45 + 8) - (0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.68 and 0.17.\nAnswer: -0.7956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = 3*y. Let g = -3.275 - -3.375. Let k = 1 - 0.6. What is the closest to 1 in k, y, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-2310)\/20)\/(-11))\/((-6)\/(-8)). Suppose 14*n + y*n - 35252 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1845009 and -7259.\nAnswer: 1837750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 5*u - 3. Let w be h(6). Is 3\/2 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**(2\/3))\/(p**1\/p)*((p\/(p*p**1*p))\/p)**(-26\/7)*((p**5\/p)\/p*p*p*p\/(p*p\/p**(3\/8)))\/((p*p**(-2\/7)*p)\/p)**(-36) assuming p is positive.\nAnswer: p**(7543\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10200269 or -10200268?\nAnswer: -10200268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2518*d**2. Let m(t) = -75*t + 2. What is m(x(p))?\nAnswer: 188850*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19 - ((-2)\/3)\/(4\/18). Let m = -20 + t. Let i(h) = 6*h**2 + 0*h**2 - 5*h**m. Let c(u) = 20*u. What is c(i(d))?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 - (-44)\/(-22). What is the units digit of s\/16 + 1806\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33436934.\nAnswer: 2, 463, 36109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -88*u**2 + 3*u - 4. Let w be m(-3). Let o be 28\/w*(-145)\/6. Let y = o + -4\/23. Which is smaller: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-46)\/6)\/((-8)\/(-18)*15\/10)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1328761\/80 + 16610. Find the common denominator of j and 37\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 97 = -37. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 68 = 4*j + 20, -j = -3*a + 85. Solve -2*m - 4*z + a = -6*m, 4*m = 5*z - 33 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 4*n + 5. Let z be w(0). Let m(u) = -u**2 + 2*u - 3. Give m(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 10. Let t be b(-7). Let g(d) = -4*d**2 - t + 4. Let s(y) = -679*y**2 + 348*y**2 + 329*y**2. Calculate s(g(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d. Let l(x) = -x. Let o(f) = -77*l(f) + 6*u(f). Let h(r) = -10*r**2. Let k(m) = 13*m**2. Let n(z) = -5*h(z) - 3*k(z). Give n(o(t)).\nAnswer: 539*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 29997 = 7881. Let j = n + 7731. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 12*k)*(0*k**3 + 24*k - 2*k**3 + 3494*k**2 - 3493*k**2) - 3*k**3 + 3*k**3 - k**4.\nAnswer: -17*k**4 + 8*k**3 + 192*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112029 and 63867.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-12 - 7 + 93)*(4 - i - 4).\nAnswer: -148*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j - 30*j + 0*j + 0*j + j + 0*j + (3 - 3 + 2*j)*(-3 + 2 + 3) - 2*j - 4 + 4 + 324 + 316 + 5*j - 646 to the form h + d*j and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4013 + 22429*n - 22159*n + 4014.\nAnswer: 270*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 20. Let t(u) be the second derivative of -7*u**3\/3 + 6*u**2 + 21*u. Let l be t(a). Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-135) - (-89616)\/(-2520)) + 40\/(-70)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4598520451 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -r - 3, 3*j - 14*r = -15*r - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(-y - 2*y + 4*y) + 2*y - 4*y - y)*(4*y + 4*y - y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 3*x. Let k be t(-2). Suppose 3*j + 5*p = -14 + 40, j = p - k. Solve -j*q - i - 2 = 0, 13 = -q + 5*i + 34 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbdgbddgbggdtg. Give prob of picking 2 b and 1 g.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**(-34)\/((d**(3\/8)\/d)\/d**(-1\/7)))\/((d**(2\/5))**(-9)\/(d**(5\/6)*d**5)) assuming d is positive.\nAnswer: d**(-48791\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 6*y**2 - 3*y - 2. Let r(o) = o. Determine g(q) + 3*r(q).\nAnswer: -2*q**3 - 6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1074925 at least as big as -1074923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((1 - 3) + 1). Let z(a) = -a**2 + 9*a + 13. Let h be z(10). What is the first derivative of -h*x - d + x - 2 + 3*x wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 104*z + 480.\nAnswer: -4*(z - 30)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2514 - 13.7486. Let u = -1 + 1. Put -3, t, 1, u in decreasing order.\nAnswer: 1, u, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(55\/25)*(-13 + 12). Solve b*y + 5 = -13*k + 8*k, -4*k - 2*y = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 1137*n - 31052 = 0. What is n?\nAnswer: -1109, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 2 - (38 + -27) - 25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:52 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -137. Suppose 9 = -c*w + 5*d + 148, 2*w + 2*d = 146. Calculate the greatest common divisor of 108 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:26 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(45\/(-28)) + 20\/(-90). Let v = 120.47 + -121. Let u = v - -0.13. What is the second biggest value in c, -3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5977 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.33 + -0.33000104. Round k to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-80) + 51\/5. Let o(r) = 3*r**2 - 7. Is o(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3044072753?\nAnswer: 1289, 2361577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/15 + 4\/(-12). Let x(h) be the second derivative of 0 + 2*h + 1\/20*h**o + 0*h**2 - 1\/24*h**4 - 1\/12*h**3. Determine c so that x(c) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2026935520.\nAnswer: 2, 5, 73, 173539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -82. Let z = 71 - q. Solve -2*h + z = -y, -3*h = -2*y + 3 - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -17*q**3\/3 - 381. Let t(m) = -21*m**2 - 4*m. Give t(n(y)).\nAnswer: -6069*y**4 + 68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*y + 2 = 5*y, 36 = 5*r - 3*y. 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: Sort 16228, -46, 0, -8.\nAnswer: -46, -8, 0, 16228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3134, -1\/3, -2, 4, -5.7, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 131\nAnswer: -9\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584*q + 51266 + 33403 = -34195 - 36368 for q.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let y(m) = -216*m + 2. Give y(u(k)).\nAnswer: 432*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*u = -124*u - 5*a - 7, 4*u - 4*a = 28 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zapallplapaazaaacaac. What is prob of picking 1 a and 1 c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 530*o - 2626. Let x be b(-5). What is the smallest value in x, -2, -4518, 2?\nAnswer: -4518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f + 86 = 72*f. Suppose -y - f*y - 4*c + 17 = 0, 2*c + 11 = 5*y. Let o(j) = -j**2 + 4*j - 2. Let m be o(3). Put m, -4, y, -2 in increasing order.\nAnswer: -4, -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17140 (base 10) in base 16?\nAnswer: 42f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-4)\/6 - (-2)\/(-6). Let i(k) = -1. Let a(y) = -3*y + 1. Let w(f) = a(f) - 5*i(f). List the prime factors of w(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62505, 0, 241, -3, -2 in decreasing order.\nAnswer: 241, 0, -2, -3, -62505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/16)\/((-360)\/(-1440)) - 2*(-57)\/11.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 27. Suppose 0*o = o. Let f be d(o). Let b be -2 + (-1)\/(12\/f). Which is smaller: b or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -2\/11, 4, 0.044163, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/51 >= -639\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + -19 - 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x - 66*x = 92*x + 26*x. Let l(v) be the third derivative of 0 + x*v**3 + 1\/12*v**4 + 0*v - 18*v**2. Let c(p) = 2*p**2. Calculate l(c(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1*(-7 - -8). Suppose -j - 5 - 2 = o. Are j and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98804 divided by 17.\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 796 + -790. Let t(f) be the second derivative of -f + 3\/40*f**5 + 1\/12*f**3 + 0*f**2 + 0 + 1\/8*f**4 + 1\/60*f**q. What is y in t(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4425574.\nAnswer: 2, 29, 76303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2. Let r(c) = -137*c**2 + 4*c - 4. Let i(k) = -1505*k**2 + 45*k - 45. Let v(s) = -4*i(s) + 45*r(s). Determine v(u(o)).\nAnswer: -580*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:38 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (892*r + 9673*r + 5 - 12 + 7)*(-r**4 - 14*r + 14*r - 3*r**2).\nAnswer: -10565*r**5 - 31695*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2)*(1 - (-3)\/(-6)). Suppose -3*z - s = z - 890, m = -2*z - 4*s + 452. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1223.7 + -1224.2. Which is the closest to -4\/23? (a) -0.4 (b) -0.3 (c) 0 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 0. Let p be 0\/2*(-1 + 0). Suppose -2*y + p*y + 40400 = i. What is y rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from uuuulummmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/40 - 1097\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.4, 0.08?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 419*o. Let k(v) = -5*v**2 + 4*v - 4. Let y(i) = 6*i**2 - 5*i + 5. Let j(u) = -5*k(u) - 4*y(u). Give j(m(p)).\nAnswer: 175561*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -842 by -421.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 39. What is n(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 690*a - 23785.\nAnswer: -5*(a + 67)*(a + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 1160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 4*u + 1. Let n(d) be the first derivative of -2 + 5\/2*d**2 + d + 8\/3*d**3. Let i be -3 - ((0 - 1) + 3). Determine i*n(k) + 6*q(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:20 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u\/((u**(-2\/5)\/u)\/u))\/u)*u**9)\/((u*u**(-4\/9)\/u*u*u*u)\/((u*u**(-1\/4)\/u*u*u)\/u)) assuming u is positive.\nAnswer: u**(1223\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -197*z + 192*z - 10. Let a(g) = 2*g - 8. Let q(f) = 1. Determine z*a(p) - 18*q(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282, 561, 840, 1119, 1398, 1677?\n\"Answer: 279*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 2*y**3 + 83683 - 83729 - 3*y**3 + 35*y to the form i*y**3 + j + o*y + r*y**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0956, -3, -2, 0.5, 5, -22.\nAnswer: -22, -3, -2, -0.0956, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 14*m + 29*m - 10*m - 2 - m**3 + m to the form a*m**3 + r*m + d*m**2 + s and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at most as big as -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1502*n**2 + 1502*n**2 - 6014*n**2 + 1509*n**2 + 1503*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 16871400 to the nearest 100000.\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/20 - z**5\/60 + z**4\/24 + z**3\/3 - 3*z**2 - 90. What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9106 + 9136. Calculate the remainder when 169 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, a: 4, x: 8, z: 1}. Give prob of sequence aax.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022434875 rounded to 7 decimal places?\nAnswer: -0.0002243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 77*v + 2772. Calculate l(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -49\/164?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -40*a. Let b(g) be the second derivative of -5*g**4\/12 - 2*g + 6. Calculate b(p(c)).\nAnswer: -8000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 8. Suppose 0*t = 2*t. Suppose t*h + 2*h = 126. Calculate the remainder when h is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*n + 11. Let v = 1914\/7 + -274. Sort v, n, 4\/5.\nAnswer: v, 4\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((o - 2 + 2)*(-3 - 1 + 2) + 5*o - 3*o - 4*o)*(24*o**3 - 26*o**3 - 155*o**3) to f + a*o**3 + t*o**2 + i*o + g*o**4 and give g.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/5, -3, -5305?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 3. Let m be w(-4). Let o be (2\/(-2))\/(20\/(-40)). Suppose n - 16 = 2*a, 0*a = -o*n + a + m. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktk when four letters picked without replacement from {t: 1, k: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)*m**(6\/7)*m\/(m*m**(-10))*m\/(m**(-7)*m) assuming m is positive.\nAnswer: m**(257\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 4, m: 1, k: 1, d: 1, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0 + 2 = 5*r, 5 = 4*r - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-3910)\/(-595))\/(15\/14).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*g**4 + 24 - 7*g**4 - 42*g**4 + 2 wrt g.\nAnswer: -324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 + -3.01. Let i = h + 2.9. Let a = 1.8 - 1.4. Sort 1\/4, i, a in decreasing order.\nAnswer: a, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 35.31. Let h = -3.31177 - r. What is h rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-2)\/(-117)). Suppose -5*b + 71 = -x. Suppose -3*z + b = n, -n = -z + 6*z - 22. Calculate the smallest common multiple of n and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 125*l - 44250. What is the highest common divisor of 12 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6428010, 12856019, 19284030, 25712043, 32140058?\nAnswer: 38568075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/2)*g)\/g)**(1\/36)*g**(-5)\/(g**(-6)\/g*g))\/((g\/g**(-3\/8))\/(g*g**(-2\/7))*g**(1\/5)\/(g*g**6\/g)) assuming g is positive.\nAnswer: g**(7753\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/21, -0.07, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70319*h**4 - 3*h - 582744.\nAnswer: 843828*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 7) to base 12\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 86.99999708. What is l rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -45835\/3, -5 in increasing order.\nAnswer: -45835\/3, -184, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjbmlla. What is prob of sequence bl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2910 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 2*y + 1. Let v(s) = s**3 - 4*s**2 - s + 3. Let f be v(4). Let h be d(f). Solve 0 = -2*i + 5*z + 8, -7*i + 2*i = -2*z + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2130404210 (base 5) to base 9\nAnswer: 8485547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624480 and 960?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478 divided by 6.\nAnswer: 239\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -506 - -1384. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 56 + 396 - 3*c - 452.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -41*l**6\/30 - 167*l**5\/60 + l**4\/12 + 52*l**2 - l. What is the third derivative of s(n) wrt n?\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose -4*o + 5*i = -41, 5*o - 47 = 4*i - 7. Solve -4*z + 12*z - 2*z**2 - 8*z**g - 28*z**o + 35*z**2 - 5*z**2 = 0 for z.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, 0.195, -9, 0.039 in ascending order.\nAnswer: -29, -9, 0.039, 0.195, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 10, d: 2}. Give prob of sequence wwww.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 + 6*r**2 - 7*r - 8. Let o be (-5 + 0)*(-2)\/2. Let a = 9 - 6. Suppose -8*d = -a*d - o. Let v(u) = u**3 - u**2 + u + 1. Give d*m(f) + 6*v(f).\nAnswer: f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s - 1. Let b(n) = 4*n**2 - 12*n + 11. Let d(o) = b(o) + 5*h(o). Suppose -168*c - 1801 + 625 = 0. What is d(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73815 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -662*i*n**3*x - 765*i*n**2*p - 16*i*n**2*x + 6*i*n**2 - 8*n**3*p - 7*n*p*x + n*x - x wrt p.\nAnswer: -765*i*n**2 - 8*n**3 - 7*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*l**3 + 18*l - 18*l + 402150*l**2 - 201067*l**2 - 201083*l**2.\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8*a**3 - 50*a**2 - 76*a - 16 = 0.\nAnswer: -4, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 157*v**2 - 29*v - 5. Let p(c) = -79*c**2 + 17*c + 3. Give -4*l(r) - 7*p(r).\nAnswer: -75*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4594149 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3\/5 - 31164*q**2\/5 + 60684096*q\/5 + 60715264\/5 = 0.\nAnswer: -1, 3896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*w**2 + 2*m**3*w + 229*m**3 - 2104*m**2 - 2*m*w**2 wrt m?\nAnswer: -6*w**2 + 12*w + 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*w**2 + 865*w**2 + 355*w**2 + 795*w**2.\nAnswer: 1876*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 + 183 - 3*s**2 + s + 153 - s.\nAnswer: -3*s**2 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/68 - (-3 - -5 - (1 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 8. Let k(b) = b**2 - 6*b - 7. Let j be k(i). Suppose -3*h - 1 = s, -s = 2*h - j*h. Solve f = -5*n - 5, -24 = -s*n + 4*n - 4*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110935 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/7))\/(t**(-2)*t)*((t**(-2)\/t)\/t*t)\/t**(-6))\/((t**1*t)**(-2\/11)*(((t**(-2\/3)*t)\/t)\/t)**19) assuming t is positive.\nAnswer: t**(8455\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10700 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -2.7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1914 - -6144. What are the prime factors of v?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**10*p))**(-10\/13)\/((p*p\/(p\/(p\/(p**22\/p*p)*p)*p))\/(((p\/(p**(4\/21)\/p*p)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(7508\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1104\/651 - (12 - 255\/21). Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**4 + v**3 + v**2 + v. Let p(l) = 24*l**4 - 11*l**3 - 21*l**2 - 11*l. Let o(t) = -22*j(t) - 2*p(t). Find the third derivative of o(u) wrt u.\nAnswer: -624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-836))\/(53\/(-106)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 300530 = -3*t, 5*t = 10*t - 5*x - 500925. What is t rounded to the nearest one thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - c?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42.86845mg?\nAnswer: 42868450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -r + 3*m, r - 5*m - 7 = -29. What is the smallest common multiple of 38 and (2 + 5\/r)\/((-2)\/24)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*k**2 + 19 - 19.\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7.796 * -0.2\nAnswer: -1.5592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1192, -2202, -3212, -4222, -5232?\n\"Answer: -1010*l - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 - 6)*(4 + i**3 - 4)*(-18*i - 51*i + 28*i + (3 + 1 - 1)*(-62*i + 48*i + 36*i)) in the form s*i**2 + j*i**4 + q*i + y*i**3 + x and give j.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32302032131 - -3?\nAnswer: -32302032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 8*m + 14. Determine h(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2.89, -173.1, 2\/15 in decreasing order.\nAnswer: 2.89, 2\/15, -3, -173.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 191, 181, 171, 161, 151?\n\"Answer: -10*f + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 + -3.17. Is 1\/2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 209, 208, 207, 206?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1 + 3 + 2 + -3)**2 - 1*(-4 + -1*sqrt(99) - sqrt(99))*-2.\nAnswer: -24*sqrt(11) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let h(x) = -x - 2. Calculate l(h(p)).\nAnswer: -3*p**2 - 12*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -5\/24*i**4 + 1\/15*i**6 + 0*i**5 + 0 + 0*i**3 + 0*i - i**2. What is the second derivative of b(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvktmttmvvmvp. Give prob of picking 1 t, 1 k, 1 p, and 1 m.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -10*q. Let t be (q - 6)*(2 - 3). Suppose -d = 2*g - 23, 2*d - 5*g - 55 = -0*d. What is the greatest common divisor of d and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d*f**3 + 26*d*f + 5*f**3 + 1 wrt f?\nAnswer: 60*d*f + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(21\/(-1440))*(-10)\/(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3146325 to three dps.\nAnswer: -0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfprjbg. Give prob of sequence bp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7585 = 5*v + 3*i, -2*v + 3*i = -4*v - 3025. Let g be 11 + v\/(-50) - (-2)\/(-5). Calculate the highest common divisor of g and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333761863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z + 23 + 46. Suppose -15 = 4*a - o, -z*a - 4*o + 15 = -4*a. Let i(b) = b - 2. Let f(w) = -1. Let n = 4 + -3. What is a*f(d) + n*i(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((69\/92)\/(3 - 2))\/((-7)\/140)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 49*l - 1000. What is the smallest common multiple of 30 and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(833))**2 + -4)*-2*-2.\nAnswer: 56*sqrt(17) + 3320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640) - (sqrt(8640) - -1*sqrt(8640)) - sqrt(60))\/(sqrt(72)\/sqrt(54)) - 3*((-1*sqrt(80) - sqrt(80)) + 3)*-5.\nAnswer: -159*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.66 + -15. Let f = 1.66 - i. Which is the smallest value? (a) f (b) -3\/4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 13*a + 6 = 10*a, -20 = 5*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -39, -132, -315, -618, -1071?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-10))\/((-2)\/10). Let k(s) = -9*s**2 + 8*s - 6. Let g be k(3). Is z\/g + (-950)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 465?\nAnswer: 47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -29417*m - 1117862. Calculate i(-38).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 + 81845*x**4 - 7393050*x**3 + 222061500*x**2 - 2221965000*x = 0. Calculate x.\nAnswer: -16459, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 7 + 23 + 1794*m**5 + 0*m - 466*m**5 - m wrt m.\nAnswer: 26560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 5*h**2 - 2042*h + 2067*h.\nAnswer: -2*h**2 + 25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 456 - 444. Solve 5*a + 5*n - 3*n - 21 = 0, -k = -a - 3*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187085, 374058, 560913, 747644, 934245, 1120710, 1307033?\nAnswer: 1493208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-45 + 54 + (0 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Let a be (-4 + j + 2)*51. Let q = 76 - a. Solve -3*c + 20 = 4*i, 0 = 9*c - 4*c + 5*i - q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**3 + 11*c**2 - 355*c + 2175. Determine q(7).\nAnswer: -1829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 41*l + 548. Give n(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 344 + 2d16c?\nAnswer: 2d4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(2\/15) - (30 - 32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -9 + 11 + -1 + (22 - -25)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 + 122. Suppose k = 17*c - c - 32. Solve -5*l + c*l = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - (-44 + 50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 370\nAnswer: 63\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, x: 2, h: 3, g: 8}. Give prob of picking 1 h and 2 g.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 10292723.\nAnswer: 41170892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.18 + 2.68. Put -2\/5, 0.4, a in descending order.\nAnswer: a, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 + -39. Suppose -5*c + w = -3. Calculate the smallest common multiple of 8 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2968254 and 4635?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171239936 take away -103.1?\nAnswer: 6171240039.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - 5*o**3\/6 + 5*o**2\/2 - 3*o. Let l be x(5). Suppose -4*y - 4*k = -24, -4*y + 3 + 3 = -l*k. Solve y = -r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -939?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47494 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1373.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1593*g - 1663. What is the thousands digit of t(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4681363 and -0.26641.\nAnswer: -4681363.26641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/14, 19355, 70 in increasing order.\nAnswer: -1\/14, 70, 19355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (12\/15)\/(4\/10). Suppose -2*r + b*r = 8. Suppose -v + 3*v + r = -4*s, 2*v + 5*s + 9 = 0. What is the remainder when 35 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v + 34 - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9167 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 156718 (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 146\/4 - (-2)\/(-4). Suppose -q = 2*f - 0. Is 6 a factor of (1\/(3\/f))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 691 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 164458397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/120 - h**5\/15 - h**4\/6 + 2*h**3\/3 + 6*h**2. Let k(a) = -3*a**2 - 3*a + 3. Determine -3*b(n) + 4*k(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 521 - 12\/(-9)*3. Calculate the common denominator of q\/(-42) - 14\/49 and 39\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2484 and 13133?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5908*a**5 - 37*a**4 - 317684*a**2?\nAnswer: -354480*a**2 - 888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200661\/6188 - -1\/884. Which is smaller: 31 or b?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1979516 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (-2 + 2 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyymyjvjmmmjjm. Give prob of sequence ym.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 7*x + 4. Let q be h(6). Let b be (q\/4)\/(3\/24). Let d(a) = -a**3 - 4*a**2 + 4. Determine d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 0. Suppose z = -3*g + g + 6. Let f = g - -13. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/(f**18\/f))\/f)\/f)\/f)\/((f*f**(2\/7)\/f)\/f)*(f*f*f**(1\/17))\/(f*f**38\/f*f))**(4\/7) assuming f is positive.\nAnswer: f**(-26288\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77\/4 + 19. Let f be 2 + 4\/((-32)\/14). Sort q, f, 3 in increasing order.\nAnswer: q, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9185 less than 9184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-2*15\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 47*n**2 + 150*n + 218. Calculate the remainder when 624 is divided by f(-50).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**5 + 2*a**3 + a. Let w(l) = 78*l**5 + 20*l**3 - 90*l**2 + 10*l. Let u(k) = -10*p(k) + w(k). What is the third derivative of u(r) wrt r?\nAnswer: 5280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.234369 weeks to microseconds.\nAnswer: 1956146371200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*l**2 - 2424 + 552 + 546 + 1326.\nAnswer: 314*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17794 or 17793?\nAnswer: 17793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 98. Suppose -a*t - 392 = -1092. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(99)*1)\/(-6*1*sqrt(144) - sqrt(144)))**2.\nAnswer: 11\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.38 - -1.62. Let b = -2479 + 2455.06. Let x = z + b. Which is smaller: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.82*2\nAnswer: -7.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-270)*60*(-27)\/(-45)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 17*a + 44. Let t be b(9). Let j = -286 - t. Solve 4*i = 2*z + z + 26, -j*z + 5*i = 31 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.1 - 16. Let t = 2 + -1. Is a smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffzffffffffffffff?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from xgxpppggbxgdp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**6\/120 + 7*k**4\/24 + 155*k**2\/2 - 32*k + 2. Let i(n) be the first derivative of c(n). Calculate i(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-7 - -13 - 1 - (12 - 43))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 8*s + 42. Let p be (2 + -3)\/((-3)\/s). Suppose 5*z - 4*n - 364 = 0, -p*n - 361 = -5*z - 2*n. Calculate the greatest common divisor of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-1)\/(-1 - 0)). Let k(a) = a**3 + 5. Let i be k(x). List the prime factors of 37\/5 + (-2)\/i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 55 - 64 - 1 + 3 - 4 + 1 - 4 + 2 + (-4 - 1 + 3)*(1 + 2 - 1))*(-u**4 + 6 - 6).\nAnswer: 31*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*sqrt(320))\/sqrt(10) + (2*(sqrt(2) + sqrt(2) + 0 + sqrt(2)) - (sqrt(2) - 3*sqrt(8)))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, z: 2, b: 1}. Give prob of sequence ozb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 6:31 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -30. Let n be 3\/(-6)*(2 + 8). Let g be (-5)\/(n\/(-3)) - 3. Which is greater: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - 14*d**2 + 6*d + 2. Let j be r(4). Let m(v) = -v**2 - 11*v + 1. Let o(c) = -c**2 - 12*c + 1. Give j*m(u) + 5*o(u).\nAnswer: u**2 + 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u + 4. Let x(w) = -15*w + 164. Let q(i) = -23*i + 229. Let b(c) = -5*q(c) + 7*x(c). Determine -6*b(o) + 5*d(o).\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 231*z**2 - 670*z - 7641. Determine p(234).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67991884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (4 - 3)*1. Suppose 3*x - 104 + 11 = n. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 9145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1411\/54 + 53\/2. What is the common denominator of r and 89\/78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3124 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b. Suppose -1 = 5*i - 2*w - 6, 2*w = -3*i + 19. Suppose -2*y - i*y = b. Solve -k = -y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3812, 2740, 1668, 596, -476?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y. Let u be i(1). Suppose -u*g = -g. Solve g*r - 5*p + 4 = 4*r, -3*p = -3*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 6*x**2 - 7*x - 4. Let y(l) be the first derivative of -13\/3*l**3 + 15\/2*l**2 + 292 + 9*l - l**4. Calculate 13*b(p) + 6*y(p).\nAnswer: 2*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000403657253 to 7 dps.\nAnswer: 0.0004037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.7 + -66.138. Let b = 5 + -0.6. Let z = q + b. What is z rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*28\/(-168)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/120 + 2*h**5\/15 - h**4\/3 + 7*h**3\/6 + 6*h**2. What is d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:51 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = -2*q - 4, -q - 34 = -5*x. Suppose -x*u - 2*p - 7 = -6*u, 0 = 3*u + 2*p + 1. Let v(f) = f**2 + 3. Determine v(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from acjaojjjjacjaocja.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15963, -31923, -47887, -63855, -79827, -95803?\n\"Answer: -2*s**2 - 15954*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 13960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = o, 3*a - 12 = 5*o + 9. Suppose p - a*p - 3 = 0. Is 30 a factor of 1 + -2 + p + 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 6*a**3\/13 - 2*a**2\/13 - 16*a\/13 - 8\/13 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42848, 86196, 129542, 172886?\nAnswer: 216228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d**3 + 32801*d**2 - 32801*d**2.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1916 and 42631?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2298 and 12102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -4\/3*v**3 + 1 + 0*v + 0*v**2 + 0*v**5 + 2\/7*v**7 + 0*v**6 + 0*v**4. What is the third derivative of i(b) wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -899.89 + 889. What is f rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291.068 + -221185.932. Let d = c + 221334.941. Let z = -142 - d. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25505, -101868, -229171, -407414?\nAnswer: -636597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 5*p - 3*p)*(0 - 2*p + 5 - 3) + 2*p**2 - 2*p**2 - p**2 + (-p**2 + 0*p**2 + 2*p**2)*(1 - 3 + 0).\nAnswer: -7*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(180) + -4.\nAnswer: -8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 30887*h + 69. Let f(l) = 2*l. Determine y(f(t)).\nAnswer: 4*t**2 + 61774*t + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848357348?\nAnswer: 2, 3, 37, 4162967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295847042 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 1518?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14433*i + 3*i**2 + 14433*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40582 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3)*(-16 + 33) - -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418018 or 38\/17?\nAnswer: 38\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h + q = 3, 5*h = -5*q + 15. Suppose -6*u + h = -30. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 - 4. Let x be ((-38)\/(-57))\/((-1)\/30). Let z be 16\/20*x\/(-8). Let r(c) = -3. Determine z*p(w) - 3*r(w).\nAnswer: 2*w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 15. Does 2 divide 2\/j - (-40)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-7 - -51) + 6 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b - 144 = -101*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -33\/5*f**5 + 12 + 0*f**2 + 82*f + 0*f**4 + 0*f**3. Differentiate o(k) wrt k.\nAnswer: -132*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3336 + -20549?\nAnswer: -17213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(76) - (sqrt(76) - -3*-1*sqrt(76)) - (sqrt(76) - 4*(sqrt(76) - (sqrt(76) + (2*sqrt(76) - sqrt(76)))))))\/(5*-1*sqrt(28)\/(sqrt(42)\/sqrt(6))).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 4*a**2 + 21*a + 16. Suppose -3*j = 2*f - 31, 0*j - j + 13 = 2*f. Suppose z = 2*z - j. What is the remainder when q(-7) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 minus 3350?\nAnswer: -3348.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 39 + 5 = 0. Suppose -5*r = 1 - i. Let o = r + 0. Solve -4*v - 3*p = -31, -o*v + 4*p - 8 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -13. Let w be 6 + (-2 - 1 - -1). Suppose -90 - 30 = -w*x. What is the highest common divisor of u and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, b: 1}. Give prob of picking 1 i and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((5*(-6*sqrt(475) - sqrt(475)) - sqrt(475) - sqrt(475)) + sqrt(475)*6 + -5)*-4 + -5)*-5)**2.\nAnswer: 477400*sqrt(19) + 182595929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 219190*g + 219190*g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/(-2))\/((-1)\/16). Let r = -392 + f. Let a = 111 - r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1119489d - 3?\nAnswer: 1119489a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -232, -42 in decreasing order.\nAnswer: -6, -42, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1400, -5, 5, -58, 7?\nAnswer: 1400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/24)\/((-2140)\/(-1284))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2*d**3 + 2*d**5 + (d**3 - 4*d**2 + 4*d**2)*(3*d**2 - 5*d**2 + d**2) + 3*d**5 - 7*d**5 + 2*d**5 + 2*d**5 + 1 - 1 + 51*d**5 + 310*d**5 + 97*d**5.\nAnswer: 459*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4*5\/(-4) - 9) + 14. Solve c = 6*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*1*-3 - sqrt(130) - sqrt(130)*2*-6)\/(6*sqrt(160)*2))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 44*u - 54*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285508607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**3 + 14*u**2 + 23*u - 15. Let p(z) = -16*z**3 - 17*z**2 - 27*z + 15. Determine -5*n(x) - 4*p(x).\nAnswer: 4*x**3 - 2*x**2 - 7*x + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -513113 (base 7) to base 15.\nAnswer: -1adee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 7*z**2 + z - 4. Let v be b(7). Suppose -v*m = m. Let c be -5*3\/(30\/8). Put c, -3, m in decreasing order.\nAnswer: m, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180 - -237416?\nAnswer: 237226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -5\/4, -2\/285 in increasing order.\nAnswer: -58, -5\/4, -2\/285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*f + 217*f + 143648 = 1880*f - 43372 for f.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -52.9999786. What is c rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.52 + 0.38. Let y = 1.4 - n. Sort 3\/8, 4, y in increasing order.\nAnswer: y, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316 = 2*w + g + 1319, -4*w + g + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*d = 5897, -4*l - 3*d + 4646 = -7113. Suppose 0 = -12*n + l + 4408. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**7\/2940 + r**5\/420 - r**3\/2 - 2*r**2. Let t(l) be the first derivative of c(l). Factor t(f).\nAnswer: -2*f*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.11, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*j + 117, h + 4*j + 24 - 75 = 0. Let l = h + -253\/4. Are 1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 5, 3 in descending order.\nAnswer: 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1098715 and 44\/24391473?\nAnswer: 121957365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 500, 177, -2, 2, 0 in descending order.\nAnswer: 500, 177, 2, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-12))\/(39\/8). Which is the nearest to -0.05? (a) 2 (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -981, -7726, -26029, -61674, -120445, -208126, -330501, -493354?\nAnswer: -702469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8*t = 0. Suppose 2*z = t, -3*n + 2*z = -4*n + 1703. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:23 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/6*25\/25*(-3)\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 18 + 12. Let g(z) = 3*z. Calculate g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 4610678526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a. Let g be (-8)\/(-20) - (-36)\/10. Let t(f) = -2 + g*f**2 - 6*f**2 + 2. Give y(t(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k + 450. Let x be f(-37). Solve -x*w + 2 = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/23)\/(w*w**(-7))*w**0\/(w\/(w\/(w**(-2\/17)*w)*w)))\/((w**(2\/7)\/w)**(-1\/20))**40 assuming w is positive.\nAnswer: w**(12596\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 4:54 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 2*z + 3*z. Let s(b) = -2*b - 1. Let c be s(1). What is the second smallest value in c, 1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5669, -2, 11048 in decreasing order.\nAnswer: 11048, 5669, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 7, v: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + 2*i - 5, -2*l - 14 = 4*i. Which is the smallest value? (a) 2 (b) l (c) 0.4 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16177*j - 1136*j - 3008*j.\nAnswer: -20321*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3209*c**3 - 3206*c**3 - 49*c + 49*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1851*z**3 + 190*z**3 - 139*z**3 - 1483*z**3.\nAnswer: -3283*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 - -109. Suppose 0 = g*h - 5*r - 1060, -4*r = 3*h - 0*r - 1096. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(24)*-2*2 + 3*(sqrt(96) + sqrt(24))))\/(sqrt(8) + sqrt(56)\/(sqrt(14)\/sqrt(2)) + sqrt(72)*3)*3.\nAnswer: 45*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2*h**2 + 10 + 11.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 131583 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: Calculate 9\/(216\/(-1144)) + (3 - (-4)\/(-12)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 747.342 - 780.4. Let y = j + 0.058. Let c = y + 34. What is the third smallest value in -1, 1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -985928827 to the nearest one million.\nAnswer: -986000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 151, -9\/2, 0.1, 2, 4.\nAnswer: -5, -9\/2, 0.1, 2, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9039231.9 to the nearest one hundred thousand.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 5*c**2 - 6*c + 10. Suppose 5*j = 2*j - 18. What is the tens digit of w(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/57 and 36.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*15*252\/(-150). Calculate the highest common factor of i and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6329\/6846 - -2\/489. Let o = -2269505359674 + 353112338909763893\/155590. Let z = 1\/15559 + o. Find the common denominator of s and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 49. Let k(y) = -y**3 - 3*y**2 - 2*y - 2. Let n be k(-3). Suppose j = 4*h + 2*a, -n*h - 3*a = -h - 24. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x + 120 = 0. Let i = -21 - x. Calculate the lowest common multiple of 4 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-24)\/(-2))*-2. Let v = -2 + 3. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*q - 118*t - 7059 = -115*t, 5*t - 106 = 3*q for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 160, -1, 2, 3, 0, -56, -54 in descending order.\nAnswer: 160, 3, 2, 0, -1, -54, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -57*l**4 + 38. Let f(w) = 2*w**4 - 1. Let a(r) = -b(r) - 4*f(r). Differentiate a(k) wrt k.\nAnswer: 196*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*u + 1)*(-3*u + 6*u - 2*u) + 1 - u + u**2 + u + 55*u**2 - 25*u**2 - 31*u**2 + 2 - 2 + u**2 + (u + 0 + 0)*(-1 + 1 - 2*u) - u**2 - 3 + 3.\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*k, 5*b = 3*k + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86242361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 63*t**2 - 686*t - 96. Calculate m(14).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10299657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 14. Give r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3382, -3390, -3376, -3322, -3210, -3022, -2740?\n\"Answer: 3*r**3 - 7*r**2 - 8*r - 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-32)\/(-8)))\/(-3)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.88654 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 26*m + 1229. Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12422 is divided by 1771.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1402884 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t = 3*t - 8*t + 3726 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 66223700 to the nearest one hundred thousand.\nAnswer: 66200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 27*k**2 + 3*k**2 + 0*k**2 - 2*k**2 - 4 - k**2 + 4 + (2*k - 5 + 5)*(0*k - 3*k + 2*k) + k - k - k**2 + 2*k**2 + 2*k**2 - 5*k**2 - k**2 + 0 + 0.\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -4\/9, -2\/7, -19\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 182 - 542 = 3*l, -2*o = 4*l - 170. Calculate the greatest common factor of 50 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.1 - 35.1028. What is j rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 7*o. Suppose -4*x - 200 = b, 3*x = -5*b - o*x - 1068. What is b rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 6:19 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*o = -949*o - 3842 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 73, 107, 141, 175?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 + 6*m - 8. What is the units digit of r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 718207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 4\/(-3))*30\/(-110).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819607 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 42*s + 211. Determine l(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9 + 10*j - j**3 + 9 + 9 + 11*j**2. What is the remainder when 22 is divided by z(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8799 - 8799 - 22088*t to p + o*t and give o.\nAnswer: -22088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08810276134 to five dps.\nAnswer: -0.0881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17926894.\nAnswer: 2, 101, 88747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from cqvoopzovvqc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8723 is divided by 964?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3) + (5842\/(-138) - -18).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-z - 2*z + z + (z + 4*z - 4*z)*(0 + 2 - 1))*(-144 + 116 - 1507) to the form v*z + u and give v.\nAnswer: 1535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 8. Let h(n) = n + 2. Let b(t) = t + 2. Let g(v) = 4*b(v) - 3*h(v). What is g(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 336560.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3363 - 3369. Let w(v) = -v**2 - 7*v - 2. Calculate w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6 - -5) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 34, -5, -933.\nAnswer: -933, -5, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/23, -2\/41, 5, 2\/5, 8.77, 3, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5967\/7, -5, 4, -3?\nAnswer: -5967\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2141 + -21.3541. Let f = -0.14 - l. Let q = f + -20.99991. What is q rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68410242*m**2 + 68331870*m wrt m.\nAnswer: -136820484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 20. Let j = i + 11. Suppose j = l - 1. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354485 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0628855 rounded to three dps?\nAnswer: -1.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.834 + 922.\nAnswer: 889.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/330 - q**4\/22 + 3*q**3\/11 - 2*q**2. Factor u(f).\nAnswer: 2*(f - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l + 2 = 3*y, 3*y + 3*l - 18 = 0. Let z(p) be the third derivative of p**y + 1\/24*p**4 + 0 + 0*p - 1\/3*p**3. Differentiate z(t) with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + 1)*5 + 5 + -1 + sqrt(800) - 6*((5 + (sqrt(800) - (0 + sqrt(800))))**2 + sqrt(800) + sqrt(800)))*2.\nAnswer: -240*sqrt(2) - 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -78892, 2\/3, 1 in increasing order.\nAnswer: -78892, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 35*j**2 + 22*j + 70. Let u be b(36). Let t = u + 2601. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/70 + 37*o**4\/21 + 157*o**3\/7 + 720*o**2\/7 + 8547*o. Factor x(n).\nAnswer: -2*(n - 80)*(n + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4*u**3 - 21747228*m**4*u**2 + 62522*m**2*u**3 + 244*m*u**3 wrt m.\nAnswer: 48*m*u**3 - 521933472*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 33*f + 870 = -31*f, 2*d + 4*f - 580 = 0. Calculate the greatest common factor of d and 348.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198\/4*(-6)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 2340?\nAnswer: -234b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1703 - -3750. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5 - 200*r**4\/3 - 80*r**3\/3 + 200*r**2\/3 + 68*r\/3 = 0.\nAnswer: -1, -1\/3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/4 - 1\/4*a**3 - 23\/4*a**2 + 1\/4*a.\nAnswer: -(a - 1)*(a + 1)*(a + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 5*j. Suppose -j*i + 13 = p, p - 5*i + 0*i - 6 = 0. Suppose 2*u - u = 20. What is the remainder when u is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302892 divided by 459\nAnswer: 100964\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -87.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 25.23 and -4.68.\nAnswer: 20.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(4\/3))\/(c*c\/(c**(-3\/5)\/c)))\/(c*c\/(c*(c\/(c*c**(-8)\/c*c*c*c))\/c)*(c\/c**(-6)*c*c)\/c) assuming c is positive.\nAnswer: c**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 29*v**2 - 2 - 1062*v**2.\nAnswer: -1033*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2639 and -0.2.\nAnswer: 527.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*s - 37 = 0, -2*i - 2*i = s - 130. Calculate the highest common factor of i and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 5*n**2 - 2*n - 1. Let y be z(-5). Suppose -3*s + 4 + y = a, 0 = -3*s - 2*a + 8. What is the remainder when 9 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -x + 53 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1*(1522 + -9). Let h = -793 - y. Suppose -3*r = 6*r - h. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.9, -3, 3\/7, 15?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (-212 - -44) + 16\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40135586903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and -19\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/3 + 5. Let k(x) = -44 + 14*x - 47 + 91. Give t(k(a)).\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -62*w**2 - 1390*w - 570. Let k be v(-22). Factor -2\/5*z**3 - 6\/5*z + 8\/5*z**k + 0.\nAnswer: -2*z*(z - 3)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -18*l + 13*l + 8, 0 = -2*o - 5*l - 34. What is the remainder when -12*(-4 - -53)\/o is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5469574.36 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 6*p**5\/11 - 202*p**4\/11 + 618*p**3\/11 + 18954*p**2\/11 + 34776*p\/11 - 31752\/11 = 0.\nAnswer: -6, -3, 2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 k when three letters picked without replacement from {z: 4, j: 1, k: 4, b: 1, l: 3, t: 2}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12222202 - -1002001?\nAnswer: -11220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75194 is divided by 5011.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb3c9 (base 16) to base 11.\nAnswer: 5a8a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 24. Let s be 2*(-1 - (0 - 4)). Let q be x(s). Solve q = -c - 4 + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.25 + 7.031. Let g = -0.7809138 + f. Round g to six decimal places.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69445030 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyggiygigidgggdddi. What is prob of sequence dyd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 - 305 = -4*z, 5*i = 15. Let g(q) = q + 3. Let x be g(-7). Let k be (5\/x)\/(3\/(-24)). Calculate the highest common divisor of k and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2601950 and 4550.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcsw when four letters picked without replacement from wwcrshcrrwhcwhcccrsb?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*10\/(-15) + (-59 - -66). Solve -p*k = 10*f - 11*f + 34, 0 = -5*k - 2*f - 22 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14037912613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-35))\/((-2480)\/338520).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1414 (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 - 8*z**3\/3 - 2*z**2 + 8*z\/3 + 7\/3.\nAnswer: -(z - 1)*(z + 1)**2*(z + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 + 4. Let s be p(6). Let q(a) = 4*a + 8 - 5 + s. What is the units digit of q(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5846 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 24601 = -z, -24603 = -181*f + 178*f - 3*z. Is 82 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53563\/4? (a) 1\/11 (b) 4 (c) -630\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*y - 21*y + 8*y**2)*(2 - 2 + 1 + (1 - 6 - 2)*(0 + 0 - 1)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/3 (b) 6.3587 (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1977.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43891026313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 55 = -2*u + 2*x, 0 = -3*x - 6. Let s be (u + 1)\/((-12)\/(-40)). Suppose -6*l - s = -9*l. Solve 0 = -2*a - 4*p + l, -25 = 2*a - p - 4*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12211293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -4d?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -5741501 and -5741485 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(-2 + -5*(sqrt(2448) + 1*sqrt(2448) + sqrt(2448) + 5 - (sqrt(2448) + sqrt(2448)*-2)*5)))**2*6.\nAnswer: 155520*sqrt(17) + 23505174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2. Let y(g) be the first derivative of 121*g**3 + 1411. Determine y(z(t)).\nAnswer: 5808*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 10*c**2 - 9*c**2 + 5*c + c**2 as z*c + u*c**2 + p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7435.6 + 7409. Round q to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f - 5*x - 34, -5*f + x = -30. Suppose 2*o - 2*q = 0, 6*q = 4*o + q + f. Sort 4, o, 0.\nAnswer: 0, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 244 - 1 = 0. Let j = r + -31. Suppose 3*v = -3*i + 12, 0 = i - 2*i + j*v + 9. Solve 0 = -y - 3, i*l - 5 = -3*y - 2*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 + -9 - (3 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.877906 millilitres in litres?\nAnswer: 0.000877906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -513, -3676, -12135, -28536, -55525, -95748, -151851?\n\"Answer: -441*w**3 - 2*w**2 - 70*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -756 divided by 2\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 35764147.\nAnswer: 35764146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 15*p + 2*l - 8938 = 0, 0 = 5*l - 25. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696340 by -69634.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2871*m**3 - 28538*m**2 + 5 + 28538*m**2 - 5 + 2868*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 + 270 = 5*p + 2*j, -5*p = -4*j - 479. Let d(o) = -o**3 - 10*o**2 - 9*o + 13. Let k be d(-9). Calculate the highest common divisor of p and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 6*u**2 + 3*u - 12. Let s be f(-7). Suppose s = 4*y, 5*w - w = -y + 20. What is the remainder when 23 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 34*n**2 - 570*n - 50. Calculate the remainder when 894 is divided by k(17).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(10\/(-6)) + 114. Suppose x = -3*n + 3*q, n = -n + 4*q - 80. Find the common denominator of n and 1 - 66\/56 - 202\/808.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 1106?\nAnswer: 14378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10829, 4, 9, 5, -6.\nAnswer: -6, 4, 5, 9, 10829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -5.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 8772*r + 96366. What is j(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1\/2 + -5. Let d = h - -6. Suppose 20*z**2 - d*z**5 - 18*z + 4 + 12*z**5 - 9*z**4 + 8*z**3 - 15*z**4 = 0. What is z?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from {p: 3, a: 2, c: 1, k: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 - 7287*n**4 - 235488*n**3 - 1890048*n**2 = 0 for n.\nAnswer: -16, 0, 2461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 717, 844, 1001, 1188, 1405, 1652, 1929?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-11)*1 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*g = 122*g + 36*g - 20562. Is 57 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6*9\/8. Let y be (4\/(-6))\/((-10)\/15). Suppose -3 = -q - y. What is the smallest value in q, -2\/13, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 0*o**4 - 2*o**4 - 3*o + 3*o - 2*o**4 + (-o**3 + o**3 + 2*o**3)*(o + 3*o - 5*o) - o**4 + 0*o**4 + 3*o**4 + 0*o - 6*o**4 + 0*o.\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4301)\/(-161) + -21)*(1 + 20). Solve 15*a = -0*a - k for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1 - sqrt(13)) + -1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 176547. Let a(d) = d**2. Calculate i(a(y)).\nAnswer: 2*y**4 - 176547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by (-132)\/(-6) + 1*(-1 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 176504 and -7?\nAnswer: -1235528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 246\/(-15))*(1 + -6)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 2*n - 5*n + 2*n - 5*n + 9*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*n - 17 = 0, 2*a + 4*n + 107 = 113 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -119, -246, -435, -692, -1023?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = -3*l - 2*s, 5*l - 5*s = 25. Suppose 8*y = 5*y - 4*b + 1216, -4*y + 4*b + 1584 = l. What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 5:23 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 6 = -2*b + 2*k, 4*b = k + 9. Let p be 240\/25 - 4\/(-10). Let h = p - 11. Put h, b, 3 in ascending order.\nAnswer: h, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6912312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 8*a**3 - 179*a**4 + 181*a**4 + a - 3 - 5 to f*a**3 + v*a**2 + z + m*a**4 + c*a and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41111 (base 6) in base 11?\nAnswer: -40a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a - 5*i - 197 = 0, 0 = -a - 3*i + 47. Differentiate -44*p + a*p + 19 + 7 wrt p.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + -0.23. Which is the third smallest value? (a) -0.2 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6457450, -12914902, -19372354?\nAnswer: -25829806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -4*(sqrt(432) - -1*sqrt(432))) + sqrt(432) + sqrt(432) - 1*sqrt(432)*1)\/(1*sqrt(576) + sqrt(72)\/(sqrt(968) + sqrt(8))).\nAnswer: 480*sqrt(3)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 641*b**3*l**2 + 639*l**2 with respect to b.\nAnswer: 1923*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -36. Which is bigger: a or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 3 + 1 + 0. Suppose -c - k = -0. Let q(d) = -2*d + d - 6 + 3. Calculate q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 1:24 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 9a?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c**2 - 1125*c - 4397. Determine y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -8\/15*t**6 - 11\/8*t**4 - 1\/3*t**3 + 8*t**2 - 12\/5*t**5 + 0 + 2*t. Factor s(q).\nAnswer: -(q + 2)*(8*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 90 + 30 = 0. Let b = q - -66. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -319*a**2. Let o(h) = -h. Calculate l(o(r)).\nAnswer: -319*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 23. Let a = d - -6. Put a, 16, -5 in increasing order.\nAnswer: -5, a, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5360425 is divided by 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/6 + 23*t**3\/2 - 19*t**2 - 2. Let a be f(-18). What is the smallest value in 11, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770*a**2 - 1523*a**2 + 777*a**2.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/22566 and -163\/30.\nAnswer: 112830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 4*w + 15. Give p(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13291860 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 121*j + 960. Determine z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 + 146*y.\nAnswer: -2*y*(4*y - 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 236 + 188 = -2*u, -u - 318 = -3*k. Suppose 5*n - k = -3*f, 3*n - 76 = -n + 2*f. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47075, -94148, -141221, -188294, -235367?\n\"Answer: -47073*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1389642 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - (12 - 25 - 25 - -18)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 39 = -201. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-81)\/(-36)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18081 - 17883. Solve -h + 238 = -20*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**7\/84 - b**6\/12 - 7*b**5\/20 - b**4\/12 + 13*b**3\/12 + 7*b**2\/4 + 2*b - 50. Factor g(w).\nAnswer: (w - 7)*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 30.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3951300 is divided by 148?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011755913.\nAnswer: 2011755913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 202\/24 + -4 - 1 and 15\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/2 + -4)*26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(1573)))**2.\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6997015 is divided by 31518?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3873 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 3. Calculate the least common multiple of w and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 7, l: 1, i: 6}. Give prob of picking 1 e and 3 i.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - x + 5. Let r be o(5). Find the common denominator of 26\/10*r\/(-10) and 6\/21 + 426\/28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/57))\/z)\/(z*z**(-46)))\/(z**(2\/25)*z*(z**(5\/6)\/z)\/z) assuming z is positive.\nAnswer: z**(128447\/2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3229 and 1.29.\nAnswer: 3230.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 819500 to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 54191 = 5*l - 4*a, 2*a + 32514 = 3*l. What are the prime factors of l?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*w + w. Suppose 3*a - 3*h - 2*h - 36 = 0, w*h - 23 = -5*a. Let v(n) = -n**2 + 8*n - 1. Give v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-1*-5 - ((sqrt(156) - (-1*sqrt(156) + sqrt(156)))*5 - sqrt(156)))\/((1*sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(2)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - v + 11. Let l(r) = -4*r**2 - 5*r + 55. Let p(x) = -2*l(x) + 10*u(x). Let g(t) = 246*t**2 - t. Give g(p(c)).\nAnswer: 984*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*i - 280 = 0, -3*w + 7*i - 420 = 4*i. Let c = -75 - w. Suppose -5*j + 461 + c = -n, 108 = j - 3*n. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.04316.\nAnswer: -3.04316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13041, 13043, 13035, 13011, 12965, 12891, 12783?\nAnswer: 12635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 43 = a, -w + a = 4*a + 27. Let t = w + 40. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 23 = -17. Let i(l) = -l**2 - 6*l + 9. Let g be i(u). Let p(d) = d**2 + 6*d + 5. List the prime factors of p(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 187*x = 652 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5689 and -0.2227566.\nAnswer: -5689.2227566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 + 2*f - 7. Let c be h(5). Suppose -5*o - 5*y = 0, 2*y = -c*o + 3*y - 4. Suppose 2*i - 2 = 3*i. Is i < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2 + 574408*u + 3192028 wrt u.\nAnswer: -4*u + 574408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-5) + 2\/(-5). Suppose 4*m - u*t = 13, 2*m = 4*t + 12 + 2. Suppose 4*f + 5*y + 3 = 44, -5*y = f + m. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100210211001100 - -110?\nAnswer: -1100210211000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 14. Let f be p(7). Suppose -v + 1 + 4 = f. Put 1, v, -3 in decreasing order.\nAnswer: v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:54 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68347947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**4 - 162*l**2 + l**3 - 843*l + 843*l - 2 to the form w*l**4 + c*l**3 + g + r*l**2 + p*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 4. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -c + 2 - 0, 0 = 4*n - 5*c + 10. Suppose 1 = -2*v + 3. Let t be -8*v\/(-2)*1. Solve n = -4*a + t + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = a, 5*z + 5*a + 22 = 4*z. Solve -2 = -5*b + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 435\/77 + -37\/7. Let k = -191947\/22 - -8723. Let i = s + k. Sort 2, 2\/9, i in decreasing order.\nAnswer: 2, 2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) 2\/3 (b) 0.0601 (c) -0.4 (d) 0.7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 4:05 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12636, -4, -1, -82 in ascending order.\nAnswer: -82, -4, -1, 12636","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/12)\/(3\/117). Let p(x) = 130*x**2 + 2*x + 2. Let a be p(-1). Calculate the greatest common divisor of t and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5260422*n**2*q**2 + n**2*q - 2002*n**2 - 2*n*q**3 + 4*q + 17 wrt q?\nAnswer: 10520844*n**2 - 12*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 15. Suppose 30 = 5*q + 10. Factor -3*z**5 + z**3 + z**q - 2*z**f - 2*z**2 + 3*z**2 + 2*z**5.\nAnswer: -z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6623322082 plus -0.05657?\nAnswer: -0.7189022082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/97778 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - a - 2 = 0, -4*a = l - 2*a + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-117)\/(-9))\/26)\/((-1)\/4)*62280\/1730.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.4, 4, -26, 1\/6886, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 4*y**3 + 2*y**3 - 12*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/9)*t**4\/t*t**(4\/5)*t\/(t\/((t*t**(2\/3)*t)\/t))*t*((t**1\/t)\/(t**(2\/21)*t))\/(t**(-6)*t**(-1\/2)) assuming t is positive.\nAnswer: t**(7619\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((8\/(-6))\/(-4))\/(5\/45). Suppose m*l - 4*r + 2*r - 240 = 0, -4*l - 4*r + 300 = 0. Suppose -12 = -6*h + l. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521845392 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:47 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -40. Find the common denominator of ((-13)\/(-39))\/(g\/(-174)) and -17\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t + 39. Let p be u(-11). Let l = 71 + p. Suppose -9 = -3*w + 39. Calculate the remainder when l is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2 - 14*a**3 + 16*a**3 - 39*a - 26*a + 9*a**3 wrt a.\nAnswer: 66*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 12 + 17 = 8*o. Let r(u) = -5*u + 57. Let n(k) = -3*k + 28. Let s(l) = 5*n(l) - 2*r(l). What is the remainder when s(o) is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -484*u + 4. Let c(n) = -439*n + 5. What is -2*c(j) + 3*l(j)?\nAnswer: -574*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2175820, -2175818, -2175814, -2175808?\n\"Answer: s**2 - s - 2175820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2301 and 2613.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169713 is divided by 240?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8368 - 1601 = -1058*d - 797 - 27350 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602300 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12508404 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -42*c**5\/5 - 485*c**2\/2 - 2*c + 339. What is the first derivative of k(o) wrt o?\nAnswer: -504*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 17*q**2 - 152*q + 2428. What is m(18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + (5*(sqrt(448) + 0 + -4))**2 - -3*(sqrt(448)*-1 + sqrt(448) + -5)**2*-4).\nAnswer: -1600*sqrt(7) + 11300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-23*(-53)\/(-1219))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 7*b - 7. Suppose 3*n = -n + 24. Calculate o(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80494 - 4*c**2 - 80494 - 753*c**3 + 4*c**2.\nAnswer: -753*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 583 - 583.1. Let s = 8\/11 - 46\/33. What is the nearest to 1\/2 in k, 3, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*2\/(-10)*-5)\/((-98)\/49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*2*(-12 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*s - 25, 2290*v - 2292*v = -s + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000688380015 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p = 6 - 53 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2091, -3965, -5839, -7713, -9587?\nAnswer: -11461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -968 divided by 242\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52 + 241?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76882590 from -2.\nAnswer: -76882592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1592006 * 506.\nAnswer: -805555036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 16*a**3 + 12*a + 29*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59 + 70 - 121)*(2*c - 2 + 2) to the form p + u*c and give u.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -7) + -1 + -2. Suppose -92 = -4*b - r*x, 5*b - 3*x - 201 = -46. Solve o = -b + 27 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -4421?\nAnswer: 4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-242)\/(-66) + (-6 - -1). Let z = 155.84 + -156. What is the nearest to z in j, -4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20047400 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(-2*sqrt(2)) + -4 + 4.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1231 - 839. Let t = 113 - m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79230 divided by 26410\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by 3\nAnswer: 130\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -43*k**2\/2 + 1. Let y(r) = -351*r - 507*r - 347*r + 1203*r. Calculate y(z(i)).\nAnswer: 86*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 1445*w - 14703. Calculate p(-10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0355601 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))**(-2\/15))**(-5\/12) assuming w is positive.\nAnswer: w**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 52. Let v be f(0). Let q = v + 52. Solve 8 = -4*y - q*n + n, -2 = y + 3*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 3*p**2 - 3*p**2 + (0 + 1 - 2)*(-7*p**4 + 24*p**4 + 7*p**4) to the form g*p**4 + w + a*p**3 + m*p**2 + u*p and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -716539*z**3 - 688962*z.\nAnswer: -4299234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 90 = 140. Suppose a*r - 9*r = 19. What is the remainder when 224 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3835 - 3086. Does 107 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 - b. Let x(a) = 18*a**3 + 52*a**2 + 57*a + 20. Let r(i) = 3*k(i) - x(i). Factor r(w).\nAnswer: -5*(w + 1)*(w + 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) -146 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.14 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2. Let y(q) = -5 + 19*q - 2*q + 5. Determine y(h(a)).\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*f - 24 = 637*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76 - 48 + 43)*(37 - 34 + b + 0*b) to u*b + i and give u.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 415 - 350 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -796 + 798.58. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 19*b**3 - 3*b**3 - 1 - 2*b + 13*b**3 + 35*b**3 + b**2 as l*b + d*b**2 + r*b**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-319234)\/(-144) + 6\/27. Let v = q + -2225. Calculate the common denominator of v and 137\/(-12) - (0\/16 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(170)*-2 - sqrt(170)) - (sqrt(170) - (sqrt(170) - (sqrt(170) - sqrt(170)*-2)))*-6)*3)\/((4*(sqrt(20)*2 + sqrt(20)))\/(sqrt(18)\/(2*sqrt(9)))).\nAnswer: 15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 194*h**2 + 66*h - 73. What is c(-65)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 2, y: 4}. What is prob of sequence ejj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h + 24 = 0. Let a(g) = g**2 - 6*g - 7. Let q be a(h). Solve 4*y - i = y + 7, -5*y - i = -q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 261 - 88 = -157. Solve 10*g = -g + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14697 = -5*w + h, -7*h + 2952 = -w - 11*h. Let t = 4743 + w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90484313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((10\/300)\/((-39)\/351))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Suppose -10 + a = -4*u. What is the third derivative of 6*o**3 - u*o**3 + 2*o**3 - 2*o**3 + 2*o**2 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2127, 2148, 2183, 2232?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.2. Let l = -13 + 12. What is the third smallest value in t, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 + g**3 + (-3 + 2*g**2 + 3)*(-2 + 3794*g - 7613*g + 3803*g).\nAnswer: -31*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4213061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.82 and 8?\nAnswer: 14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3971 and -21.3.\nAnswer: -20.9029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**3 - 20*r + 21\/2*r**2 - 26. Let s(v) = v**2 + 4*v - 4. Calculate 2*h(o) - 11*s(o).\nAnswer: o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1833)\/7748 - (-9 + (-175)\/(-20)). Sort -3, 0.87, z.\nAnswer: -3, z, 0.87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23856 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*(-4 + 25\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 844 and -3 + (-155)\/(-4) - ((-104)\/32 + 3)?\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 261343 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(2\/6)*-1. What is the common denominator of t\/(18\/(-97)) - 3 and -51\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-3 - 34) + 3. Let h = 39 + l. What are the prime factors of (0 - 19)\/(h\/(-12))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 32*x + 38. Let a(d) = -30*d - 37. Let g(y) = -3*a(y) - 2*n(y). Is 25 a factor of g(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825082.2 years to decades.\nAnswer: 82508.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -230*i**4 + 7*i**3 - 7*i - 15. Let r(q) = 115*q**4 - 4*q**3 + 4*q + 7. Let w(h) = -4*j(h) - 7*r(h). What is the first derivative of w(m) wrt m?\nAnswer: 460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4493054 - 1?\nAnswer: -4493055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - 2.7. Suppose -15 = -5*t + 4*i, 0 = 2*t + t + 2*i - 9. Let p be (1\/(-2)*-1)\/2. Which is the nearest to p? (a) t (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2247824 by -2.\nAnswer: -1123912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 8*x**2 + 8*x - 12. Let s be b(8). Suppose i = -i + 2*v + s, 4*v = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from nctqecctvett.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10507*a**3*d**5 + 9*a**3*d**4 + 7*a**3*d**2 + 1235*a**3 - 22*d**2 wrt d?\nAnswer: 630420*a**3*d**2 + 216*a**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxl when three letters picked without replacement from {g: 1, q: 1, x: 1, l: 4, u: 8}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*b - 1, 2*b + 3*q - 15 + 8 = 0. Is b >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2856 - -14279\/5. What is the second biggest value in -1, 38\/71, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1565 (b) 19 (c) -0.4 (d) -134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521575.\nAnswer: 5, 31, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 310201001223?\nAnswer: 310201001232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5299 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9 + 70\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3\/3 + 3*c**2 + 3*c - 16. Determine m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 425, 509, 557, 569, 545, 485?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 718463081 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753274 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*y - 5*y = 0. Let i(o) = 1096 - 1066 - o**2 + y*o + 2*o. Let j be i(0). What is the greatest common divisor of 80 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:16 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18867611*o**2 - 18868063*o**2 + 0 + 0 + 0.\nAnswer: -452*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oro when three letters picked without replacement from {t: 1, v: 2, o: 6, r: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -684 + 706. Suppose i - 5 = 3*l - d, -2*i - 26 = -4*l. What is the third smallest value in -1\/5, 2\/9, l, 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1209742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -2399, -8080, -19143, -37382?\nAnswer: -64591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(80) + 0 - sqrt(20)\/sqrt(196).\nAnswer: 34*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -144*h**2 - 11*h + 4 + 0*h + 145*h**2. What is m(7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359531057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by -32551\nAnswer: -241\/32551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22639 - 29333 = -12*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 6*d)*(1 - 2 + 18*d + 2).\nAnswer: -108*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-5)*8740\/(-23)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12894530 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 - 2*v - 7. Let j be m(-10). Let t(i) = i**2 - 12*i - 8. Let o be t(j). Let p = o - 2. Solve 2 = f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.6 - 5.4. Let g = v + 15. Let j = g - -6.1. Is j > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 4*m**3 - 3*m**3 - 4*m**3 + 104*m**2.\nAnswer: -10*m**3 + 104*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24122 (base 6) in base 9?\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108466 is divided by 27036?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -9*j + 13. Solve -2*s + 12 = -j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 478852*c**2*k**2 + 442681*c**2*k - 7*c*k**2 - 54*c*k + 6*k**2 wrt k?\nAnswer: 957704*c**2 - 14*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*t**2 + 12*t**2 + 0*t**2 + 6*t**6 - 3*t**6 wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 + 7 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 3:33 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a34 (base 13) to base 2.\nAnswer: -11011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/17 + -251\/1615. Are c and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12330 + 13945.6. Round j to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/7 + 2224*q**2\/7 + 6665*q\/7 + 4442\/7.\nAnswer: (q + 1)*(q + 2)*(q + 2221)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 7*a**2\/2 - 5*a - 8.\nAnswer: (a - 2)*(a + 1)*(a + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6))\/d**(-8))**(-6\/11)\/((d**(1\/5)\/d)**(-9)\/(d*d**8*d*d**(-3\/4))) assuming d is positive.\nAnswer: d**(-1349\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*t + 4 - 37, 967 = 4*m - t + 949 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10321321100 - -3?\nAnswer: -10321321031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 7*g + 3. Let p be q(8). Suppose -9*o + 3*x - 468 = -p*o, -4*o + 936 = 3*x. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-61427)\/(-12293) - (-1 + -6). Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -17*i + 5. Calculate b(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 2 + 3*j**2 - 3*j**2 + 6*j**3 wrt j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmm when three letters picked without replacement from {m: 9, h: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, f: 1, q: 5}. Give prob of sequence gg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -65.3 - 0.03899\nAnswer: -65.33899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009933398868 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 28 = 22*y. Which is the nearest to -0.1? (a) 5 (b) y (c) 2\/15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 56\/11786717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.5. Which is the closest to -1? (a) -5 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 330*p.\nAnswer: 3*p*(p + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1578\/3877 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 5, -12, -14, 8\/7 in decreasing order.\nAnswer: 15, 5, 3, 8\/7, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 358, 552, 766, 1006, 1278, 1588?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/12 + w**4\/12 - w**3\/2 + 6*w**2. What is the tens digit of d(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2796721040 rounded to the nearest 1000000?\nAnswer: 2797000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66\/42 + -2 - 8\/14 - -74 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 + 2875. What are the prime factors of a?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/15 + (-130)\/(-546). What is the nearest to 2\/7 in -0.5, -0.04, o?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/49 and 85\/616.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*m - 131830515 = 58699303. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2176 is divided by 95.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + -3 + -21 - 16 - (-14 + -1).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3\/16, -4, -1.4, 4?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -30*q + 572. What is d(20)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose h*j + 156 + 51 = 0. Calculate the common denominator of (j\/10)\/(12\/(-15)) and -56\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-26)*(-5536)\/8304.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**3 - 4*g**2 + 9*g + 4. Give r(3).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42301 is divided by 46.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolovvzzldooid. What is prob of picking 1 v and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (0 + (3 - 5))) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7797479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5868 + 59693 - 265 = 616*q for q.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/42 and 115\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -18*c**3 + 194*c**2 + 11*c - 4340. Let s(i) = 3*i**3 - 39*i**2 - 2*i + 868. Let h(z) = -2*r(z) - 11*s(z). Differentiate h(k) wrt k.\nAnswer: 9*k**2 + 82*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85133*y**3 - 3*y**2 - 2*y - 1568526.\nAnswer: -255399*y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17494 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/2, -2\/9, -147, 7, -0.1 in descending order.\nAnswer: 7, 0.2, -0.1, -2\/9, -3\/2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 18. Let g be r(0). Let n(s) = 2*s**2 - s - s**2 - g - 5*s + 2*s. Let p be n(9). Calculate the greatest common factor of p and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070783 to five dps.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/3 - 4*k**2 + 13*k + 4. What are the prime factors of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 2. Let x(n) = -8*n + 16. Determine 6*m(g) + x(g).\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 27. Let c = u - -27. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 2*k - 4. Let v = -14 - -10. Let g be u(v). Suppose 2*m + 2 = g. What is the smallest value in 6, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 253\/4 + -63. Let d = -4 + 6. Let z = -0.3 + -1.7. Which is the closest to v? (a) d (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and (5 - 9\/2) + (-206)\/32.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -2\/7 (c) 0.1767 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 - 1 = 0. Suppose 100 - 25 = q*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/12 + f**3 + 2*f**2 + f. Suppose m - 6 = -2*m, -5*m + 262 = -4*s. Let l = 57 + s. Calculate y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-595)\/105)\/((4\/6)\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199636?\nAnswer: 2, 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 2*l + 4. Let x be p(0). Solve -3*g = 5*t - 0*g + 8, x = -4*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1162 and 2814?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**5\/30 + 2*v**2 - 2. Let l(k) be the second derivative of c(k). Let w(a) = 4*a. Determine l(w(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 = 12. Let h(f) = -416*f**3 + 4*f**2 - 2*f + 2. Let x be h(m). What is x rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 4*d**2 - 53*d - 64. Let p be w(-9). Let x = -1\/154 - -578\/77. Is p greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-4)*(1 + 0) - -5. Suppose -29 = -i*d + v, 0 = -d - 57*v + 53*v + 20. Let -d - 1\/2*u**2 - 4*u = 0. What is u?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9889629 - 1329.5983371. Let s = 1335.7873193 + l. Let v = s + -3.2. What is v rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.38, 0.9, 0.07, -1.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1695 and 53\/32?\nAnswer: 54240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4626, -9254, -13882, -18510, -23138?\n\"Answer: -4628*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6531 - 58711\/9. Calculate the common denominator of 29\/12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkkpqhhhfplhkqpp. Give prob of picking 1 q and 1 h.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 3}. What is prob of picking 2 t and 2 c?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f - 15. Let d(z) = -19*z - 13. Let m be d(-3). Let t = m - 36. Is k(t) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15063 is divided by 153.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = -8*d. Put 0, d, -8, -4 in descending order.\nAnswer: 0, d, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 12 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27172 + -17919. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94492 + 24864010\nAnswer: 24769518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 5:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 120?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14 - 10\/(-35)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 82 = 3*u + 3*b, -5*u + 3*b + 103 = 0. Solve 5*j + 4*p - 1 = 0, j - 5*p + u = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 5. Let m(o) = o**2 - 1. Let u(q) = -5*m(q) + y(q). Let z = 39 - 37. Let r(s) = z*s - 11*s + 4*s + 7*s. Determine u(r(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17013012 (base 8) in base 10?\nAnswer: -3937802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 - 99*x + 1177. What is the tens digit of g(53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (1*sqrt(2) + -4 - sqrt(40)\/sqrt(5)) - -4*-1*sqrt(98)*-3)**2.\nAnswer: -27556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74987497.\nAnswer: 13, 577, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -667628\nAnswer: -18\/166907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 (base 14) in base 16?\nAnswer: 2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. What is the closest to 1 in x, -2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 156*k - 291. Let n be z(80). Calculate the greatest common divisor of 841 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71539*q + 7*q**2 - 35773*q - 35766*q.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.16 + 1.1. Let b = 5.06 + l. What is the nearest to 1 in -2\/7, -5, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*v - 21. Solve v*p - 4*k + 12 = 0, 2*p - 3 = 7*p - k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033056704 rounded to seven dps?\nAnswer: 0.0003306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {p: 3, r: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 7*v**3 - 5*v**2 - 75*v = 0 for v.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2 + 5*b + 5. Let r(j) be the second derivative of -1\/2*j**2 - 4*j - 2 - 1\/6*j**3 + 1\/12*j**4. Suppose 2 = q - 4. Calculate q*r(l) + i(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1919007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**4\/12 + 7*g**3\/6 + 7*g**2 - 15*g. Is s(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51434, 412084, 1391076, 3297608, 6440878, 11130084, 17674424, 26383096?\nAnswer: 37565298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 + 0 - -1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/23277993 and 29\/558.\nAnswer: 139667958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 4. Let x = -73\/130 - -6\/13. Which is the second biggest value? (a) o (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84187 = 18*u - 101069. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1323?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395 and 26989.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 32*t**5 + 68*t**4 - 124*t**3 - 84*t**2 + 108*t = 0.\nAnswer: -3, -9\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/65)\/((-36)\/360*2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 42*a**3 + 24*a**3 + 9 + 7*a + 15*a**3 + 4*a**2 + 14*a**3. Let x(d) = -5*d**3 - d**2 - 3*d - 4. Calculate -3*f(p) - 7*x(p).\nAnswer: 2*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4467.1 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*x = 0, 3 = 5*s + x + 9. Let w = -10 + 15. Sort w, 4, s in descending order.\nAnswer: w, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 103. Sort -1\/3, -0.4, 3, v in ascending order.\nAnswer: -0.4, -1\/3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 62 = -10. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35240334 (base 7) in base 9?\nAnswer: 5747450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-210) + (-2242)\/20. What is the remainder when 73 is divided by 168\/126 - (0 - i\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1526 and 120190.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 8*4\/(-8))*-6. Let w = 234 + -138. What is the greatest common factor of q and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4976\/(-2240) + (7 - 2460\/350).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*f + 8, 4*f - 135*s + 134*s = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 124 = -94. Let p = 54 + -58.35. Let d = -0.65 + p. Which is the closest to -1? (a) 1\/7 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-3 + -1 + 2 + sqrt(5).\nAnswer: -26*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131653 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.959 + -0.949. What is the second smallest value in -0.5, -18, 4, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25626869 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-6) + (-3)\/(-6). Let t(k) = 4*k + 90. Let y be t(-19). Suppose y = 5*c + 3*b - 5, -c + b + 7 = 0. Solve 0 = -o*p + 6, 2*q + p = c*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 2*c + 2*n - 14, 5*n - 7 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288 + -77. Let r(o) = 62*o**3 - 3*o**2 - 15*o - 16. Let p be r(-1). Let u = z + p. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 11\/6*g**6 + 0*g**2 - 10\/3*g**3 + 0*g + 0*g**5 + 0*g**4 + 8. Find the third derivative of b(f) wrt f.\nAnswer: 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/4 + 108633*s\/4 + 1872729 = 0.\nAnswer: -108564, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 128*n**3 + n - 1. Let c be g(1). Let m = c - -20. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-u**5 + 0*u**5 + 2*u**5) + 21*u**2 - 21*u**2 - 4*u**5.\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9174434.08461 and 4?\nAnswer: 9174438.08461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1 + (-3 + 4 + 2)*(-1 - 2 + 4))*(3*a - 17*a - 4*a) to f*a + n and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 89 - 119 = 0. Let g be 50\/13 + (-8)\/v. Let k(y) = y**2 - 7*y + 6. Determine k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12212 divided by 4?\nAnswer: 3053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 9:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 2, b: 1, f: 1, l: 1, u: 2}. Give prob of sequence eu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 16. Let b = -333 - -345. Give d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.3 (b) 49\/47 (c) 13 (d) 1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5 - b**2 - 4*b**2 + 4*b + b**3 + 5*b**2. Let d be c(4). Let p = d + 33. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9370 - 327938\/35. Let q(w) be the first derivative of 23 + 0*w**2 + t*w**5 + 0*w + 2\/7*w**3 + 1\/14*w**6 + 15\/28*w**4. Suppose q(b) = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2\/5)\/(36*42\/43470).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 4. Let r = b + 3. Let d = -0.5 + 0. Sort r, d, -3.\nAnswer: -3, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n + 54. What is the remainder when 68 is divided by t(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-6 + 12) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5 + 20*x**4 + 78*x**3 + 148*x**2 + 136*x + 48 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose -b + 6 = -4*l. Let a(p) = 37*p**2 + p + 1. Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**9\/60480 + q**8\/6720 - q**7\/1680 + q**6\/144 + 13*q**5\/10 + 46*q**2. Let b(r) be the third derivative of m(r). Give b(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -31. Let u = 11 - 0. Calculate the smallest common multiple of r and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 3. Let k(s) = -54 + 109 - 2*s - 54. Let d(x) = -x**2 + 18*x - 35. Let m be d(16). Give m*c(v) - 5*k(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-399)\/836*(-26)\/18. Let s = 1\/44 - j. Which is the second smallest value? (a) 4\/9 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -6)*-3*(-16)\/6. Suppose d*q + 267 = 35*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 65469.65m?\nAnswer: 6546965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-15)\/(-9))\/(13\/39). Let w = 3 + 3. Suppose -q + w*q + 5*l - 15 = 0, 5*q = 5*l + v. Solve z + q*r = 9, -2*z + 11 = 2*r + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoozoozooooooooooo. What is prob of picking 3 o and 1 z?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + m**4 + 3*m**4 + 0*m**4 + m**4 + 2*m**4 + (2*m**2 + 2*m**2 - 2*m**2)*(0*m**2 - m**2 + 2*m**2).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 703*x - 26 + 704*x)*(-3*x**3 - 6 + 6).\nAnswer: -3*x**4 + 72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 64, -2\/283, -1\/136?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10009631 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2128.9 to the nearest 10.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3393*t - 100467 + 2447 = -69*t + 446*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**3 + 9*i**2 + 28*i + 16. List the prime factors of t(-8).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3102815 (base 10) in base 5?\nAnswer: -1243242230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -99*g*h**3*u + 3*g*h**2 + 4*g*u - 2*h**3 + 93*h wrt u?\nAnswer: -99*g*h**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:23 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343043231 + 10?\nAnswer: -343043221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.5 and 12?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 264*m**3 + 7*m**2 + 157*m + 4. Let d(u) = 132*u**3 + 3*u**2 + 79*u + 2. Let a(c) = 5*d(c) - 2*z(c). Find the second derivative of a(x) wrt x.\nAnswer: 792*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(36)\/(sqrt(6) + sqrt(42)\/sqrt(7))) - (sqrt(1872) - (sqrt(1872) + -1)*2)**2)*4.\nAnswer: -7504 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-44.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 39765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36266 divided by 18133.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -4 (b) -5 (c) 91 (d) -1\/8 (e) 0.12 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + -100?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(704)*2).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80550.268 * -0.3\nAnswer: -24165.0804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 18. What is the remainder when 3*((-37)\/(-3))\/1 is divided by y\/66 - 211\/(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96.3, -0.02, 4\/5, 2 in descending order.\nAnswer: 2, 4\/5, -0.02, -96.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93538297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660799?\nAnswer: 660799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and (-3)\/((-72)\/21) - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l = 62*l - 16. What is the fourth smallest value in 2, l, -4, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 3. Let j = 39 - n. What is the highest common factor of j and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 837 (b) 439.951 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 834.3424 and -0.52444.\nAnswer: 833.81796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5214 is divided by 578?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (2\/2 - -1). Let k = 0.06 + -4.06. Let r = 1360 - 1359.5. Sort r, k, j.\nAnswer: k, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {v: 1, q: 2, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 32, -4, 5, 3\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2946*d**2 - 51*d + 107. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77884099 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -15*x + 683 - 95. Solve 0 = -10*b - x + 55 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -14*j + 5. Suppose 2*b = -0*b - 4*u - 24, b + 8 = -u. Let v be q(b). Let w = v + -15. 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: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 30*i**2 - 2*i - 9. Calculate b(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d52156 - -4?\nAnswer: -1d52152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*c = -67*c - 4*m - 356, -3*m = -12. Let b = 434 + c. What is the greatest common factor of b and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3560, 2709, 1860, 1013, 168, -675, -1516?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11467867720772 and 0.44?\nAnswer: 11467867720772.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 270*o - 358. Give a(135).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1496\/15 + -497\/5. Is -2\/4589 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(180)*3)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1063, 1066, 1037, 946, 763, 458, 1?\n\"Answer: -5*o**3 + 14*o**2 - 4*o + 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 2\/1057 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 plus -0.2?\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 221 = -j - 0*j, -3*j - 719 = 2*m. Let y = -235 - j. Solve -n + 20 = 5*l, 0 = 3*l - 0*l + y*n - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535.9834ns to milliseconds.\nAnswer: 0.0005359834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31465536 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 29. Let y be 25\/20 - s\/3. What is r in -7\/4*r**2 - y + 15\/4*r + 1\/4*r**3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 702*m - 26. Let n be d(7). Suppose 0 = -6*f - 2*f + n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (3\/(-2))\/((-1)\/(-2)). Solve -l - a = 4, -5*l + k = -4*a + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12110?\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:27 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 - 9*y - 4. Let f be z(8). Let n be f\/11*12\/8. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -686 or -701?\nAnswer: -686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/16)\/9*(-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -n + 5. Let z be (-2)\/((-1)\/n*-4). Let l(o) = -2*o - 8. Let k be l(z). Solve -9 = 3*a + k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6*y + 3. Let s(t) = -t - 3. Let x be s(-9). Give l(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 3}. Give prob of sequence mmb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*q - 102*q = -69*q + 2899 + 12401 for q.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 2*y**7\/105 - 11*y**6\/30 + 34*y**5\/15 - 4*y**4 - 516*y**2. Factor d(z).\nAnswer: 4*z*(z - 6)*(z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1499, 11959, 40369, 95705, 186943, 323059, 513029?\n\"Answer: 1496*o**3 - o**2 - 9*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21255)\/(-5995))\/(5\/(-55)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1305a (base 11) to base 8\nAnswer: 44413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 4*i, 2*w + 4 = -i + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 and 17\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18714 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5742 + 653.5342. Let w = 7.04 + l. Let i = 658.669 - w. Round i to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 1030, 1574, 2128, 2686, 3242, 3790?\nAnswer: 4324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, r: 15}. What is prob of picking 1 o and 1 r?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/40)\/11*-6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 1 + 3*z - 5*z)*(-1 - 1 + 4)*(14 - 88 - 28).\nAnswer: 408*z + 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(9\/9*(-2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.793 + 0.007. Let q = 2.9 - h. Which is the closest to 0.3? (a) q (b) 6\/7 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -420?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)*0\/(-6). Let l = 0 - -11. Solve x - 3*w = -q*w + l, 5*w = 2*x - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/18*3*(-5)\/60*45.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2470605334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*x - 2*x - 46 + 58, 2*x = -17*t + 3 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*v**4 + 723*v**3 - 3303*v**2 + 4833*v - 891 = 0.\nAnswer: 3\/14, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {q: 1, u: 1, w: 1, g: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 138?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 626 - -8. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507 + -237. Let b be ((-70)\/4)\/(14\/28). Does 26 divide d\/(-10) + (-21)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 7752.\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694164.4981 - -2.1.\nAnswer: -694162.3981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(75) - (sqrt(3) + 1 + -4)**2.\nAnswer: -14 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1597 + 1654. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 18 + 4)*(-2*v - v**3 + 3*v**3 + 0*v).\nAnswer: 76*v**3 - 76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 5)*(-f**3 - f + f) + f**3 - 3*f**3 + 3*f**3 + (85 - 85 + 28*f)*(-9 - 5*f + 9)*(-2*f + 6*f - 3*f) + (3*f**3 - f**3 - 4*f**3)*(3 + 1 - 3).\nAnswer: -144*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 11269\/2711?\nAnswer: 11269\/2711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zzzzziizzzizzizziz?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1590 = 588. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*k + 4*k - 131 = 0, 3*c - 401 = 4*k. Let l = 667 + -805. Let f = l + c. What is the remainder when 3 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -419, -0.1, -2\/19, 91 in decreasing order.\nAnswer: 91, -0.1, -2\/19, -419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 52. Let g = -122 - t. Solve z = -g*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9*q - 518 = 0. Suppose -9*s - 569 = -q. Is (-10)\/s - 0 - 2614\/(-22) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -1\/6*z**3 - 3\/2*z**2 - 1\/20*z**5 + 5\/12*z**4 - 3*z + 0. Calculate o(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -10. Let g = -0.2 - -0.1. Let s = 0 - g. What is the nearest to v in 3, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-22) + (-1 - 3\/(-2)). Sort 3, k, -3.\nAnswer: -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z. Let x(c) = 575*c + 577*c - 1145*c. What is i(x(k))?\nAnswer: -98*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 15, -25 in descending order.\nAnswer: 15, 4, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 82\/11 (b) 0.41 (c) -14 (d) -2\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*(5\/(-10))\/(8\/(-108464)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568 - 27 = -29*v + 77 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(112) + -3) - (-1*sqrt(112)*1 - 2*(1*sqrt(112))**2).\nAnswer: 16*sqrt(7) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17 + 2*y - 246900088*y**2 - y + 246900053*y**2. Calculate v(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 1. What is the second biggest value in x, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 1\/16756, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 17. Let v = 176 + -56. What is the greatest common divisor of v and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258.3736 + 42898375.\nAnswer: 42898116.6264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - p - 2*p + p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 4*v + 5*v)*(-3*v + 5*v - 3*v) - 154*v**2 + 108*v**2 - 123*v**2 + (-1 - 3 + 2)*(-1 + 1 - 2*v**2) to k + w*v**2 + u*v and give w.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, -2\/9, -539, 4, -4 in decreasing order.\nAnswer: 4, 1\/19, -2\/9, -4, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 206, 206, 230, 290, 398, 566, 806, 1130?\n\"Answer: 2*n**3 - 14*n + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 + 188*b**4 - 10190*b**3 - 20936*b**2 - 10560*b = 0. Calculate b.\nAnswer: -132, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/18 and 2\/8*381\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39, 135, 297, 531, 843?\n\"Answer: n**3 + 27*n**2 + 8*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 2*w + 61. What is the units digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k**3)*(256*k + 349*k + 1109*k).\nAnswer: 1714*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*k**3*w**2 + 4280*h**2*k*w**3 + 8*h*k**3*w**3 - 2*h*k**3 - 12*h*w**2 + 25*k**3*w**2 - 3*k**2*w**2 wrt w.\nAnswer: 25680*h**2*k + 48*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 451120?\nAnswer: -451120.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b - 2. What is q(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.19 (b) 2 (c) 0.029 (d) -2 (e) -1\/45 (f) 6.6 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - 2.97. Let z(b) = -5*b - 2. Let j be z(0). Let n be (-80)\/(-38) - (j - 1 - -5). Put -2\/3, n, d in descending order.\nAnswer: n, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1219432 or -1219431?\nAnswer: -1219432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -113, -115, -119, -125, -133, -143?\n\"Answer: -k**2 + k - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83322?\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13675298 by 67366.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(22\/(-14) + (-15)\/(-10)). Suppose -2*u - h = -4*d + u, 3*d - 4*u = 133. Calculate the greatest common divisor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 7*c. Solve q - 5*q + 3*x + 6 = c, 0 = -4*x + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 11*i**5\/5 + 9*i**4\/2 + 6*i + 5. What is the third derivative of g(y) wrt y?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875*j + 23842 + 11845 = -46813 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.715 - -0.676. What is the smallest value in s, 5, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqs when three letters picked without replacement from sqqqqqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256275)\/20100 + 175\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 - 6*c + 5. Let b be d(5). Suppose b = 11*u - 10*u + 56. Let g = u - -94. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661686 to the power of 1\/2, to the nearest integer?\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(9*1\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257.196 - 232.2. Let w = 1.104 + -1.1. Let i = w + o. Which is the second biggest value? (a) -1 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22126 by -665.\nAnswer: 22126\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + t + 11 = -0*t, 2*t = 4*p - 14. Suppose -p*v + 6*v = 2*s - 36, 0 = v + 2. Let y = -11 - -25. Calculate the least common multiple of s and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -40, 0, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/55 (b) 2\/9 (c) -150\/13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j - 1. Suppose 5*v = 6*v - 2. Calculate the least common multiple of m(1) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**4\/2 - 29*d**3\/3 + d**2 + 28*d + 112. What is the second derivative of u(z) wrt z?\nAnswer: 12*z - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13173668 divided by 13173668.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 54 = 18 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.9911 at most as big as 1235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -2*p**6\/15 + 4*p**5\/5 - 2*p**4\/3 - 8*p**3\/3 + 6*p**2 - 5*p. Factor l(q).\nAnswer: -4*(q - 3)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 312766, 1251027, 2814788, 5004049, 7818810?\n\"Answer: 312750*p**2 + 11*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*(-7)\/28\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7507228a - 3?\nAnswer: -7507228d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Suppose 10 = 2*t - z. Factor -9 + t*m - 2*m**2 - 4*m**2 + 5*m**2.\nAnswer: -(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/15 + 57*k**2\/10 - 58*k\/5 - 47. Factor m(u).\nAnswer: (u - 1)*(u + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -1.38. Let w = u - -1.42. Let n = w + -0.5. Which is the closest to n? (a) 3 (b) -3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 26 = -38. Suppose 5*z - 2*i - 420 = 0, -221 = -3*z - i + 20. Let b = z + l. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**2 - 4*n + 2. Let w(a) = -a. Determine -r(k) + 5*w(k).\nAnswer: -9*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*v + 3*j = -198, 6*v + 2*j + 205 = 73 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -3b91?\nAnswer: 3b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -11.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(80) - sqrt(80) - sqrt(80))\/sqrt(8) + sqrt(10))\/(sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4))*6).\nAnswer: -1 + 3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 75 = 2*w - 5*w, -w + 3*n + 39 = 0. Calculate the remainder when 117 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/25 and -43\/9145?\nAnswer: 45725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1)*p\/(p**(-9)*p))**(-18) assuming p is positive.\nAnswer: p**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from aabiabaaaaiib.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63567342199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 238528501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2487 = -44*a + 36191. Suppose w + 97 = a. Calculate the remainder when w is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17460886, -34921772, -52382658?\n\"Answer: -17460886*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605) + 4*(-1 + sqrt(605) - sqrt(605)))**2.\nAnswer: -77*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9087546 (base 10) in base 12?\nAnswer: 3062bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 3. Let x be -3 - (-2 - 12\/(-4)). Let t be w(x). Which is bigger: t or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from nlnlxxxnlnl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28567315*h**5 - 2*h**3 - 54*h - 107165 wrt h.\nAnswer: -571346300*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4386936.\nAnswer: 2, 3, 182789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1355*u + 1287*u - 1700 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 2*x + 5*x + (0 - 1 + 0)*(-x - x + 3*x) + 3*x + 0*x - 4*x)*(-1 - 5 + 0).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 343835 and 343838 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -5544)\/((-4)\/(-10)). Round x to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**6 + 123*b**4 - 4*b**3 + b**2 - 2*b - 25037.\nAnswer: 1440*b**3 + 2952*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 133*h - 2066. What is the ten thousands digit of a(117)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*q - 1 + 1)*(-2*q + 1 - 1 + (4*q + 0*q - 3*q)*(2 - 3 + 2) - q - 3*q + 2*q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 5*a = 30, -5*w = 3*a - 40. Sort w, 2, -1 in ascending order.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18162096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 = -3*x, 0 = -u + x - 1. Suppose 0 = -2*k - 3*k + u*k. Suppose 5*y - 10*y + 115 = k. Solve a = -d - 4*a, -y = -4*d + 3*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43714 divided by -3974?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22561, 45178, 67819, 90496, 113221, 136006, 158863, 181804?\nAnswer: 204841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609051697?\nAnswer: 3259, 186883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)\/b)\/b*b\/b**(2\/7)*(b*b**1*b)**(1\/44) assuming b is positive.\nAnswer: b**(-1259\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1048, 3\/5, 5, -1, 122 in decreasing order.\nAnswer: 1048, 122, 5, 3\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/5*50\/60?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-1)\/((-3)\/1)). Let t be (-3 + q\/3)\/(-2). Let c = 45 + t. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/3 - 1523*z**3\/3 + 73112*z**2 - 2772276*z = 0.\nAnswer: 0, 78, 1367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 15*g + 19. Let z be m(12). Let r = 543 + z. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -52?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 + 2*l**4 + l**3 - 10*l**2\/3.\nAnswer: l**2*(l - 1)*(l + 2)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 596*m**3 - 133206*m**2 + 13231796*m - 492884401.\nAnswer: -(m - 149)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 906*x**3 - 101343*x**2 - 4973940*x - 90420300.\nAnswer: -3*(x + 61)**2*(x + 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x + 7*x + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*j - 4035 = 98*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -48 + (24 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 4*u + 8, 2*u - 16 = -2*t. What is the third biggest value in -7, -0.6, t?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74813 divided by -947?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 32 - 35 + 67.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + 8*t - 5. Let j = 7 - 14. Let l be s(j). Let o = l - -2290\/11. Which is the nearest to 2\/7? (a) -2\/5 (b) -1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 3. Calculate the smallest common multiple of w(-1) and ((-11)\/(-33)*-1)\/(1\/(-87)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*k - 46, -3*a + 2*k + 86 = -2*k. Let h = -25 - -27. Suppose -h*o + 40 - 1 = 3*s, 2*o - 19 = s. What is the remainder when a is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 2650*z. Let f(g) = 13*g - 5*g + 11*g + 6*g - 27*g. Calculate f(s(q)).\nAnswer: -2*q**2 + 5300*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2724 and 11472?\nAnswer: 2604144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66951\/16 - -4180. Let k = 16\/165 + 10\/33. What is the common denominator of x and k?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:26 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**3 - 57*s**3 + 22*s**3 + 2*s - 4 + 18*s**3 - 2*s**4 as q*s + w + k*s**3 + c*s**4 + i*s**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*n - 6 + n**2 + 326*n.\nAnswer: n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-2)*40\/(-96)*48\/(-60)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 19\/10)\/(8\/30). Which is the closest to 3\/5? (a) 1 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813431807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/4)\/o*o*o)**7*(o\/(o**1*o*o))**(1\/30) assuming o is positive.\nAnswer: o**(1151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*u + 3*u**4 + 8 + 2*u**3 + 2 as q*u**4 + k*u + r + y*u**2 + h*u**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4530 and 612909?\nAnswer: 6129090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z - 2*z + z - 4*z + z - 5*z + 2*z + 2*z + (2 - 2*z - 2)*(0 - 3 + 4) + 0*z + z + z)*(-4 + 1 + 0).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*d*y**2 - 785*d*y - 5052543*d - y**2 + 12*y wrt y?\nAnswer: 26*d*y - 785*d - 2*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34818176 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 200 + 168)*(-7*o + 4*o - 4*o) - 4*o + o + o.\nAnswer: -2571*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/6)\/(f\/(f*f*f**(8\/11))*f*f)*((f*f*f**(-3\/20))\/f)\/f**(-1\/3) assuming f is positive.\nAnswer: f**(17\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 96. Suppose -95 = -3*f - x*w + 3*w, 167 = 5*f - 2*w. Solve 4*o + 4*y + 11 = -17, 4*o + f = -5*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:51 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -7800875083.\nAnswer: -7800875015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 31*i - 58 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - i**3 - 3*i**2 + 0*i**3 - i**3 - i**3 + (-1 + 2 + 0)*(i**3 - 3*i**3 + i**3) - 2 + 2 + i**3 + 245*i**3 - 143*i**3 - 105*i**3 + 161*i.\nAnswer: -6*i**3 + 161*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - 65 - (2 + (1 - 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*d + 247*d = 30. Let k(c) = -5*c + 4. Calculate k(d).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 106982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j + 5*j + 3*j**2 + 9*j + 8*j as s*j**2 + o*j + y and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-26 + -24 - -45).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937.\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h - 1. Let c be u(-3). Suppose -150 = -c*n - 0*n. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202946 + 529.27.\nAnswer: -202416.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + s**2 - 6*s**2 - s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 12*p - 2801. Let j(i) = -4*i**2 - 6. Calculate n(j(a)).\nAnswer: -32*a**4 - 144*a**2 - 2945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3 + 2*p**2 - 5*p. Let u(v) = 5*v + 3. Calculate -4*n(s) + 5*u(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137.97 + -137. Let k = 0.91 + b. Round k to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(18))\/sqrt(8).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -479, -528, -631, -806, -1071, -1444?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 3. Let y be p(-4). Let f(l) = -13*l**2 - 7*l. Let d(z) = z**2. Let x(q) = 13*q**2 + 5*q. Let m(v) = -4*d(v) + x(v). Calculate y*f(o) - 7*m(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.468 - 28. Let r = g + 91.532. What is the second smallest value in -2, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 518830.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -6*v + 8. Suppose 0 = f + 2*f - 4*u + 19, v*u = f + 17. Let i be (-5*(1 - -123))\/f. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 + (-422)\/(-10). Suppose 0*v - 2*v + u = 0. Suppose -1 = -4*t + 5*x + 16, 0 = -t - 5*x + 23. Calculate the remainder when v is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/((h*h**1)\/h))*h**(2\/27) assuming h is positive.\nAnswer: h**(29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21072778459 - 1.7.\nAnswer: -21072778460.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 - -194.3. Let h = 19.29999449 - o. Round h to 7 dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, -1, -58441, 4.\nAnswer: -58441, -27, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f - 1. Let d be k(-1). Suppose -d*l + l + 40 = 0. Let m = 15 - l. What is the remainder when 19 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m + 15 = 0. Let d(s) = m*s + 8*s - 5 + 7*s - 18*s. Calculate d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231147 (base 8) to base 2.\nAnswer: 10011001001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 51*i**2 + 156*i.\nAnswer: 3*i*(i - 13)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 67. Let u(v) = -3*v - 67. Calculate 2*l(i) - 3*u(i).\nAnswer: -i + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, -211, 274, -1 in descending order.\nAnswer: 274, 5, 1, -1, -4, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -588 + 559 + 975\/(-13)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-72) + 10\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 17. Suppose 219 = 39*k + 336. What is a(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186985 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.46468 kilograms in tonnes?\nAnswer: 0.01646468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and (-13)\/28*(552\/62 + (-1530)\/170).\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q - 1010. What are the prime factors of q?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32320303201 - -3?\nAnswer: 32320303210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-1)\/2 + (-4)\/8. Let o = -13 + 28. Solve 5*u + 3*n + o = h, u = -0*u - 3*n - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116750101 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*k + 508 = 0, 0 = 42*o - 43*o - 5*k + 260. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c = 106*c - 960 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, s: 3, a: 1, x: 4, n: 1, e: 5}. Give prob of sequence aonx.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 95*r + 86. Is 37 a factor of o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 8*q + 1. Calculate c(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 11 = g - 36, 3*g + 4*k - 79 = 0. Suppose -g = -2*o + 7. What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 - 180*r**2 + 505*r - 35. What is n(42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*r - 67, -6*r + 4*f = -7*r + 39. What is the remainder when 60 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxg when three letters picked without replacement from jaxxptxpajxjgg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -243.5 to the nearest integer.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 20 (c) 1\/1942 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 31. Let o(u) = u + 16. Suppose -8 = -5*b + 47. Let l(f) = b*o(f) + 6*p(f). Let x(h) = 132*h + 3292. Let j be x(-25). Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {c: 1, f: 1, k: 1, u: 2, y: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -123*x + 12. Let u(g) = -62*g + 5. Let n(t) = 2*a(t) - 5*u(t). Let b(i) = 2*i. Calculate b(n(d)).\nAnswer: 128*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**6*c)\/c*c)\/c**(-1\/7))\/(c**(2\/13)*c*c\/(c\/(c**(-2\/17)*c)*c)) assuming c is positive.\nAnswer: c**(10994\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 41.\nAnswer: 140\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyxxhyxumuu. What is prob of picking 1 y and 2 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 22 = 4. Let z be (-14 - -16) + 3\/((-3)\/q). Let d(f) = f**2 + 10*f - 13. Let u be d(-9). Sort -1, u, z, 5 in decreasing order.\nAnswer: 5, z, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20374124360 rounded to the nearest 1000000?\nAnswer: 20374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, z: 2, t: 6, s: 3, d: 2}. What is prob of sequence zz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -8 + -9 + 10 - (-2 - (2 - 13))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.7999608 + 9.8. What is o rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -50. Let h be (-6)\/(-15) + 97\/(-5). Which is the smallest value? (a) h (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x - 65*x = 69*x - 528. Suppose 3*s = -3*z + 12, -5*z - 2 - 8 = 0. Solve -5*q = 0, 0 = x*b + 3*q + s + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 45020*n + 4. Determine j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**4\/12 - d**3\/6 - 11*d**2\/2 - 1133*d + 1. Let x = 6 - 5. Let z be (-2 + x - -1)\/(-2). What is w(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -o + 5, 11*o - 8*o - 15 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 475 = -3*k - 779, 0 = 5*v - 3*k - 2092. What are the prime factors of v?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 147. Solve -z*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23+-79892908.25014\nAnswer: -79892908.02014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let l(a) = a**2 - 2. Let z(j) = l(j) + 2*o(j). Let r(y) be the second derivative of 4*y**3\/3 + 4*y. Determine z(r(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/6 + 2*s. Let v(w) be the first derivative of 3*w**2\/2 - 5. Determine v(f(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaadaaaadd. Give prob of picking 2 a.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 1. Let g(i) = i. Let x(y) = -4*g(y) - t(y). Let k be x(2). Let m = -1 - k. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, -21 + 9 = -4*z - 2*h. Let o = -17 - -11. Let w = 9 + o. Solve z*x + 0*n + w*n = 9, -x + n + 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/28*((-784)\/189)\/(52\/(-234))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = -v - 2*c, -v = -2*c + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33078*w**2 + 2*w**3 - 33078*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3466050.\nAnswer: 2, 3, 5, 7, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(12\/(-272)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13896 minus -49.229?\nAnswer: 49.09004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5314, 2, -6, -4.\nAnswer: -6, -4, 2, 5314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 239*d - 3123. Let j be a(6). Is -1687 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -14, -23, -30, -35, -38?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 745889659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f + 32*f - 12*f)*(4 - 2 + 1)*(4*f**2 + 2*f**2 - 3*f**2) to r*f**3 + m*f + o + s*f**2 and give r.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394401.\nAnswer: 3, 7, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*b**2 - 64*b**2 + 23178*b**3 - 23177*b**3 to the form w*b**2 + s*b**3 + q*b + j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -47*b + 1. Suppose 0 = -4*m - 26 + 6, 34 = -3*h - 2*m. Let x = h + 7. Does 24 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22696.95ml to litres.\nAnswer: 22.69695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2093121\/46 + 45506. Which is greater: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1124 + -8?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3656768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 30. Let x be p(9). Which is the second biggest value? (a) x (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555618 a multiple of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 29*d. Let p be g(-16). Let j = -30 + p. Solve -4*x + 9 = -4*q - 3, -4*q = 2*x - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-56)\/(-32) - 20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-13)\/3 + 2). Let z = f - 149\/63. Sort 1, -1\/9, -1\/10, z.\nAnswer: z, -1\/9, -1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2319 and 364856.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 + 2*t**2 + 4. Let q(s) = -3*s**4 - 5*s**2 - 9. Suppose -3*l + 5*l = 8. Let b(x) = l*q(x) + 9*n(x). What is the third derivative of b(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 8*i + 17, 130*y - 131*y + 6*i - 27 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4860\/4131*4046\/(-68)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 140, 297, 516?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 57, 106, 153, 186?\n\"Answer: -2*x**3 + 17*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 31 - (9 - 2) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p - 63 + 14 - 26 - 3*p. Calculate the remainder when 123 is divided by b(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(1\/4)*n)\/n))**(-13\/4)\/(n\/(((n\/n**(-3))\/n)\/n)*n**(-1)))**(-19\/2) assuming n is positive.\nAnswer: n**(133\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - 5*f + 6. List the prime factors of z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 87\/(-1015)*45?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 584496 and 9801.\nAnswer: 6429456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 8. Suppose -j*i = -5*i + 97. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -2.2. What is the second biggest value in c, -1, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 2. Let h = 11 - 17. Let f = h + 6. Calculate z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3\/(-18) + 2\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*x - 8, 14*i - 11*i = 2*x - 8. Solve -3*k = -i + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccccucqcc?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from acaabccxxw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/77 and 15\/91?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**5\/30 + 13*z**4\/24 - 2*z**3 + 12*z**2. Let t be d(5). Suppose 0 = -2*w + 4*u - 2, -5*w - 5*u + t = 23. Is w >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 921 + -896. Calculate the greatest common factor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42364 + 42359. Which is the nearest to 1\/5? (a) w (b) -540 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512376203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264789313 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4446 is divided by 4135.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -9\/13?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76864, 153735, 230606, 307477, 384348, 461219?\n\"Answer: 76871*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104341 + 360419 + 343417 = 299*z. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29165 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r - 2*r + 5*r - 7*r**3 + 4*r wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8*b. Let c = -0.6 + 5.6. Let j = -9 + c. Sort -0.5, j, b in decreasing order.\nAnswer: b, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81274 is divided by 2032.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 3477 = 3*d, 5835 = 5*d + 5*m. Let b = -823 + d. Round b to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2372508, -2372504, -2372498, -2372490, -2372480?\nAnswer: -2372468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -430a - -1?\nAnswer: -4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (2 + 2)*-1. Let o = 0 + 5. Suppose 4*f - o*t - 5 = 0, -i*f = -3*t + 6*t + 3. Solve -b + 5*h + 5 = 0, f = 2*b + b + h + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14167333.7 and -0.9?\nAnswer: 14167332.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 112\/(-784)*((2 - 0) + 0). Put n, 1\/3, -2\/25, 4\/9 in ascending order.\nAnswer: n, -2\/25, 1\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*z + 9. Let h(x) = x**2 - 2*x - 8. Let j be h(z). Let v = j - 11. Solve v*i + 3*f - 8 - 2 = 0, 0 = -5*i + 4*f - 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - r. Suppose -11*u + 9*u - 4 = r. Calculate the remainder when 28 is divided by ((-4)\/u)\/(10\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -263 and -20.\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((0 + 5 - 5) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2391*b**4 + 3*b**3 - 3455*b**2.\nAnswer: 57384*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318982.\nAnswer: 2, 3, 523, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from mymmymmmyyyym.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*b - 72*b - 3750. Calculate the remainder when b is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*3\/(-9)*3*412. Let t = -234 - s. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 7 + 23. Let w(z) = z - 5. Let n(g) = 3*g - 10. Let f(m) = 2*n(m) - 5*w(m). Is f(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*p + 38. Let l = 8 - 6. Let b(c) = p*c**l - c**2 - 3*c**2 + 2*c**2. Let h(m) = m**2. Determine h(b(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7 + 2*g - 1 - 3*g + 3*g**2 - 2*g - g. Let l(t) = -t + 1. Let x(z) = 4*l(z) - w(z). Let r(q) = 3*q**2. What is x(r(j))?\nAnswer: -27*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -8. Let u be (-48)\/t - (-2)\/1. Let w = -4 + 3. Is w > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2622 and -0.18.\nAnswer: 0.227196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/9)*d**(-24) assuming d is positive.\nAnswer: d**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbebbbewdwb. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8348 divided by 1?\nAnswer: 8348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/((u**(-1\/4)*u)\/u*u)*u)\/u*u*u*u\/((u\/(u**9\/u))\/u)*(u**(-2))**3 assuming u is positive.\nAnswer: u**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*h - 18*h = 432. What is the remainder when 69 is divided by h\/54 - (-624)\/54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/108*(-5)\/((-10)\/(-168)). Calculate the highest common factor of n and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 11. Let f = -135 - -138. Let r(i) = -7 + f - 577*i**2 + 576*i**2. Give -11*r(p) - 4*x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -940*n - 277. List the prime factors of k(-39).\nAnswer: 36383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334256478 a multiple of 1126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*i - 21 = 0, -11*i + 15*i - 20 = -2*x. Which is the nearest to 1? (a) 0.2 (b) -7 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7716, 7708, 7688, 7650, 7588?\nAnswer: 7496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 5*a - 2. Calculate m(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1 - 44*m**3 + 40*m**3 - 2. Let c(v) = -36*v**3 - 28. What is -3*c(k) + 28*p(k)?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2038513\/60 + -33976. Let j = -8\/15 - x. Is -2 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1980))\/(sqrt(30)\/sqrt(6)*-6) + -3 + -4)**2.\nAnswer: -28*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**2*g**(-2))**(-1\/10)*(g**(1\/5)*g**(-2))\/(g*g\/g**4*g**(3\/7)) assuming g is positive.\nAnswer: g**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (6 - -69) - (-39 + 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-528) - -70*2\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-105)\/(-150) + (-162)\/22?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19464 - 19453. What is the second smallest value in 0.2, r, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 0, 125 = 3*y - 3*q - 70. What is the remainder when 42\/98 + ((-8)\/70)\/((-2)\/3370) is divided by y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*45)\/(5\/20). Let b = 5375\/4 - 11741\/12. Let u = b + t. Which is greater: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -10*f - 48. Let v(q) = q**3 + 7*q**2 - 11*q + 4. Let m be v(f). List the prime factors of (-3)\/((-6)\/m) + -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04955 + -0.05. Round i to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let o = 583 - 582.97. Sort 5, o, h, 3 in ascending order.\nAnswer: h, o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039606 rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 16*o - 7. Calculate x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 2*o**2 + 7*o - 3. Let j be c(-6). Let i = j + -49. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*((-60)\/(-96))\/((-2)\/(-16))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*f**3 + 52\/3 + 20*f**2 - 36*f.\nAnswer: -4*(f - 13)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a factor of 414696380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 3*p**5\/5 + 3*p**4\/2 - 15*p**3 - 54*p**2 - 68. Find u, given that z(u) = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 18. Calculate the lowest common multiple of 38 and t.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - w - 14, 0 = q - 5*w - 44092 + 44106 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1771 rounded to 1 decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/23))**(30\/7)\/(t**(2\/35))**(29\/2) assuming t is positive.\nAnswer: t**(-967\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962 (base 12) to base 3.\nAnswer: 1212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7994.3 to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 347*p**2 + 423*p - 441. Find the first derivative of r(q) wrt q.\nAnswer: 694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4737 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 693 (b) -4 (c) 1.96 (d) 4 (e) -3\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6 = 5*y, -o - 3*y + 5*y + 8 = 0. Let k be 3\/o + (-3)\/(-12). Solve b + k = 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/60 - 2*n**2. Let v(k) = 2*k**2. Determine s(v(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632727686.\nAnswer: 2, 316363843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1988)\/(-126) + 4\/18. Suppose 0 = -y - s + 3, 3*y + 5*s = l - 1. Is 4*((-87)\/(-6) + y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 330*c - 339*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/7))\/(i*i*i*i**(-6)))**33\/((i\/(i*i\/i**(-1)))**44\/(i**(1\/2)*i**(1\/10)*i)) assuming i is positive.\nAnswer: i**(7261\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*f - 4*x, f - x + 5 = 2*x. Let t be f*(-3 + 0)*-11. Suppose 2*w - t - 49 = 0. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -250*v - 22. Let n(a) = -167*a - 15. Give -5*g(o) + 7*n(o).\nAnswer: 81*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 510.2999 years?\nAnswer: 5.102999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -102.61. Let w = x + -0.11. Which is the third smallest value? (a) w (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/2160 - h**5\/360 - h**3\/2 + 4*h**2. Let f(k) be the first derivative of p(k). Factor f(v).\nAnswer: v*(v - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -45 - 3*g + 2*g + 3*g + 0*g - 5*g. Let n be w(-14). Let l(r) = -2 - 4 + 3*r + 4*r**2 + 2 + r**3. What is l(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 11:16 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249 + 250.87. Let n = 578.76 + -582. Let s = q + n. What is s rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3929305278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449329721188 - -4.\nAnswer: -449329721184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/21)\/((-363)\/91 - -4). Suppose s - t = -78. Determine l, given that 1\/8*l**2 + 1\/2*l + s = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = m + 5*z, -3*z = 2*z. Factor -d - 49*d**2 + m*d**2 - d.\nAnswer: -d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 2\/1825?\nAnswer: 2\/1825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2. Let u be q(-1). Suppose -u*c + 3 = -3*c. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n - n - 48*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = 2*w. Let p be (w\/(-1))\/(-3) + 8. Solve -k + 4*k = -p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.3 (c) 69 (d) -11.9 (e) -5 (f) 2 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 2*p**2 + 2*p**2)*(p - 3 + 3*p - 3*p) + 0*p**2 + 0*p**2 - 2*p**3.\nAnswer: p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (sqrt(17)*-2)**2*5).\nAnswer: -340 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.7 and 73?\nAnswer: 6183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = 34*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-2)\/(-2)*363\/1815?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -86, -46, 2, 58, 122?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 400\/27 + -2854\/189. Sort 2\/13, b, -5, -35\/2, -4 in descending order.\nAnswer: 2\/13, b, -4, -5, -35\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925119?\nAnswer: 3, 13, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54123 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: Let z(m) = m**2 - m - 11. Let t = -1711\/2 - -856. Let d(s) be the second derivative of t*s**2 + 14*s + 0. What is -22*d(g) - 2*z(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4126 - -0.3159. Round t to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -377210458.9999999 + 377210440. Let u = 19 + s. Round u to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + g + 7 = 0, -n - 4*g - 20 = -2. Solve -n*s + 7*s + 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((162 + 5*w - 162)*(3 + 0 - 5) + 2*w - 3*w + 3*w)*(-5 + 0 + 3).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 21*b + 20. Let r = -2010 + 1990. Give z(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 42 = 8*w, -3*w + 1492 = 5*q + 1459 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12102112110 (base 3) to base 8.\nAnswer: -320510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22715458 at least -22715459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {z: 1, i: 1, w: 1, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.659 times -2.2?\nAnswer: -907.8498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17481 is divided by 1829.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1627 + -1599. Solve d + 5*l + 17 = n, 3*d = -4*l + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25120 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -211 + 214. Suppose 4*j + 36 = 4*v, -2*v + 49 = b*v - j. Solve -v*u - 22 = 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + -14 - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 - 32?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47, 65, 255, 529, 893?\n\"Answer: g**3 + 33*g**2 + 6*g - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14*k**2 - 925*k. Let t(h) = -2*h**2. Give w(t(m)).\nAnswer: -56*m**4 + 1850*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -73 - (45\/(-63) + (-4)\/14). Let y = 164 + k. Let z = 232 - y. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1716 - 1712. Solve 4*z + 3*v + 10 - 8 = 0, 4*z = -m*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/365 + 23893\/4380. Let l = -35 + 33. Calculate the common denominator of ((-61)\/25)\/(l\/(-5)) and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {c: 7, g: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -100000 (base 2) to base 3\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 4*d - 2. Let o(b) = 3*b - 3. Let x be (2\/4 - 0\/(14 - 5))*-4. What is x*a(i) + 3*o(i)?\nAnswer: 2*i**2 + i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 2*o + 3*o + 120 - 108. Let k be j(3). Suppose -5*c = -f - c + 811, k = 3*f + 3*c - 2388. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4922?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let x be (1 + k)*(-2 + 3). Suppose c - x = 6. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 13*l**2 - 10*l - 2. Let g be p(12). Suppose -g + 4 = 3*c. Which is smaller: -5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxbkjxkkxaoojojo. Give prob of picking 1 j and 1 x.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Suppose -i - 74 = -5*y. What is the greatest common factor of 45 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -0.8 (c) -2\/7863 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 7*m**2 + 3*m + 2. What are the prime factors of z(-8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68285767 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -31668*q**2. Let h(o) = 2*o**2. Determine v(h(r)).\nAnswer: -126672*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 - 3. Let p = -10 - k. Put -1\/7, p, -1 in increasing order.\nAnswer: -1, -1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (-4*(sqrt(5) + sqrt(20) + sqrt(20)*1)*-3 + -5)**2.\nAnswer: -600*sqrt(5) + 18019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 10*t + 78. Let j be g(-15). Let q(d) = 6*d**2 + 28*d**j - 3 - 2*d - 27*d**3 + 5*d. Calculate q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c + 343 - 95. Let j = c + 53. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -0.047377167.\nAnswer: -10.047377167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 4:57 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:40 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7832000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -78009.23 to the nearest one hundred.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r - 6. Let f be g(-3). Let a be (18\/14)\/((-32)\/(-224)) - 3. Solve -l - f = -u, -a*l = u - 3*l + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2041 - 5319\nAnswer: -7360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 156.6*-24.1\nAnswer: -3774.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -993.7 + 994. Sort -0.17, p, -0.01 in descending order.\nAnswer: p, -0.01, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*p - 2*p - 2*u, 2*p - 17 = 3*u. Let s be ((-168)\/(-10) - -2) + (-20)\/(-100). Put p, 3, 0, s in descending order.\nAnswer: s, p, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 18144 = 4*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 11. What is the nearest to s in 0.3, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 430*c - 3872. Let v be f(9). Let w(i) = -129*i**3 - 7*i. Let u(h) = 43*h**3 + 2*h. Determine v*w(y) - 7*u(y).\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7a1864 (base 13) to base 4\nAnswer: 23001021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -4323 (c) 2\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 3, h: 8, o: 1, d: 1, m: 1}. Give prob of picking 1 d, 1 o, 1 r, and 1 a.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 3\/(-2)*-2. Let s be ((-3)\/j)\/((-12)\/(-8)). Factor g - s - 1\/3*g**2.\nAnswer: -(g - 2)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**7\/560 - v**6\/80 - v**5\/32 - v**4\/32 + 21*v**2. Determine b so that w(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67\/25? (a) 5\/6 (b) 0 (c) -4 (d) -1\/3 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -24. Let t be 3*-1 + 16\/8 + j. Put -4, -1, t, 3 in increasing order.\nAnswer: -4, -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3937776898 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30222\/(-92)*(6 - 16)*6\/1215*9.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 104.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 657, 2701, 6097, 10839, 16921, 24337?\n\"Answer: -s**3 + 682*s**2 + 5*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0147857802 to five dps.\nAnswer: -0.01479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Suppose -c - 2*m + 25 + 12 = o, 66 = 2*c - 4*m. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**24\/v)\/v)\/((v*v\/v**15)\/v*v) assuming v is positive.\nAnswer: v**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157637 + 64773 = -1451*q for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-856)\/1070 + 112\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8\/7, 2, -1\/4, 22, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7674777?\nAnswer: 3, 11, 25841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 + (-6 - -4). Suppose -5*t + 20 = j, o + 8*t = 3*t + 20. Which is the nearest to -0.1? (a) 5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3096051749 and 0.5.\nAnswer: 3096051749.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htosoheohsosssh. Give prob of picking 1 s, 1 e, and 1 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12056 + 1892 = -132*c. Solve 5*v - 4*k = 21, 0 = -c*v + 78*v + k - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*v + 23413, 0 = v - 1 - 6. What are the prime factors of f?\nAnswer: 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1469662005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 - 3301*t - 6600. Give i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/525*-14*(-10)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-140)*-5*-22 and (-1479)\/(-90) - 2\/(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 12 = 18*u. Solve 4 = u*j + n + 15, -n - 3 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 589*k - 838. Give g(2).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 + 99*q - 124. Calculate p(23).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 16*x**2 + 642*x + 81. Let y be t(-40). Put 8, 4, y, 0 in increasing order.\nAnswer: 0, y, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6144\/(-16))\/(-96)*-4*(-2)\/240?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 184 = -22. Let x = z - -433. Let q be x\/270 - (-2)\/(-12). Which is bigger: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 454 - 287. Suppose -p + 67 = -5*g. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3328 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10831, -10917, -11049, -11251, -11547, -11961?\n\"Answer: -4*d**3 + d**2 - 61*d - 10767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = -6*d - 70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y - 3. Let o be k(3). Let n = 14 + o. Suppose -n*m + 2033 = -6467. What is m rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737896211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336921*h**3 + 1 - 1 - 336922*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/330 - 9*d**5\/220 - 7*d**4\/44 + 245*d**3\/66 - 4543*d. Let x(m) = 0. What is m?\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29969 is divided by 422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 28118.1249 to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 4*r + 1. Let a be f(-3). Let d = -7029 + 7041. Calculate the highest common factor of d and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -682*v**3 + 26*v**2 - 34*v - 307. Is n(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*z = -71*z - 1502 - 60 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 3*b - 42 = 4*v, -79 = -5*v - b. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 822 or -252?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(612) + -3 + sqrt(612) - (2 + 1 + sqrt(612) + 2 + sqrt(612) + sqrt(612)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55614094 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*-1 - sqrt(896) - sqrt(896) - sqrt(14) - sqrt(14))\/(-5*sqrt(7)*6))**2.\nAnswer: 338\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1076207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 2*b**4 + b + 2*b + 2*b**3 - 6*b + 6 - 6*b in the form d + r*b**4 + s*b**3 + w*b + l*b**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Suppose -3*v - 2 = -r, -3*v - 22 = -2*r - j*r. Solve -18 = -4*c - 2*a, 0*c - r*c - 5*a = -30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/574 and -59\/328?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(162\/(-66)))\/(-15*(-7)\/315).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15881 is divided by 375?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3901092 divided by -6\nAnswer: -650182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - 3*g + 2*g - 2*g**2 + g**2 as j*g**2 + w + t*g and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -14*n**3 + 288530*n**2 - 69160800*n\/7 + 592560000\/7 = 0.\nAnswer: 120\/7, 20575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0*o**3 + 0*o**2 - 1\/60*o**6 + 2*o + 0 - 1\/24*o**4 + 1\/20*o**5. Suppose s(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14849.\nAnswer: 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58063 is divided by 9676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 200. Let y = w + 171. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 15*z**2 + 667*z - 4715. Let f be v(7). Solve -704\/15*g**2 + 16\/15*g**4 + 32\/15*g**5 - 32\/15 - 382\/15*g**f - 56\/3*g = 0.\nAnswer: -2, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/6 in -0.5, 3, -1\/5, 9, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 160. Let i = 127 - k. Let v be 288\/i*2\/8. Do v and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327837243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -44, -5 in ascending order.\nAnswer: -44, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 235\/6. Put f, 0, -9 in descending order.\nAnswer: f, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*z - 82*z + 147. Suppose -3241 = -19*b - z. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8277*y**3 - 16577*y**3 + 8243*y**3.\nAnswer: -57*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:19 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-34) - (-405)\/(-340)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -54, 33, -2 in descending order.\nAnswer: 33, 5, 1, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 454 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**(11\/5)*(i*i**(-8)*i*i*i)\/(i\/(i\/(i\/(i\/(((i\/(i*i**4\/i))\/i)\/i))))))**(5\/12) assuming i is positive.\nAnswer: i**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 32*p**2 - 66*p - 309. Determine l(-28).\nAnswer: -1597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 77\/2 of a kilogram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/6 + 2393*s**2\/2 + 4788*s + 14366\/3.\nAnswer: -(s - 7183)*(s + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15.9. Let l = q + -0.1. Let w = l + -1.06. Round w to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = a, -l - 2 + 11 = -2*a. Which is smaller: -5\/38 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -2c2709b?\nAnswer: 2c2709a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16924890 to the power of 1\/2, to the nearest integer?\nAnswer: 4114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + 19 - (51 + -23) - -24.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 9544?\nAnswer: -9549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5426353468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8 - 2\/8. Let i = 1 + g. Solve i = -p + 2 + 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/3 + 1352*g**4\/3 + 244136*g**3\/3 + 5289536*g**2\/3 + 30941312*g\/3 + 54413312\/3 = 0. What is g?\nAnswer: -326, -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/(1\/108). Suppose 3*m - 4*w - p = -33, -2*m = -3*w - 50. Suppose r + 5*x = -6 + m, -5*r - 25 = -5*x. Sort r, 3, 4.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018820997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6435 divided by 11.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 125 = 10*c, -125 = -2*u + 3*c - 168 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 416853.0299615 - 416852. Let m = 1.03 - l. Round m to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((sqrt(70) + 1*-1*sqrt(70) + sqrt(70))\/sqrt(10) + -1 + 1).\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -19*m + 287. Let z be o(15). Let i(s) be the second derivative of -1\/6*s**4 - 6*s + 4\/3*s**3 + 0 - 4*s**z. Determine v so that i(v) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -49. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*a + 132, 0 = v - 3*a - 8 - 34. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-25)*(-1 - (-6)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/336 and 36\/7?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 168, 447, 5, 2\/9 in decreasing order.\nAnswer: 447, 168, 5, 4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/79 in 1\/6, -2.4, -1\/3, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d35c (base 14) to base 15.\nAnswer: -1723d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1721, 141, 2\/7, 12 in descending order.\nAnswer: 141, 12, 2\/7, -1721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 - -1735\/9. What is the second biggest value in q, -5, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*(45 + -45). Suppose u = -3*k - 5*w - 0*w + 155, 3*w - 53 = -k. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12635 - -10444?\nAnswer: -2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/26 - 6\/39. Let f = 1045 + -1040. Solve -3*r = -f - h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 + 3*k - 1. Let s(u) = -4*u**2 - 10*u + 13. Let t(d) = -d - d - 3 + 8*d - 4*d. Let b(q) = s(q) + 4*t(q). What is 6*b(n) + 4*w(n)?\nAnswer: -4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*s - 24 = 0, 6*s = 11*s. Suppose -o = 5*t - 48. Find the common denominator of 39\/t - 1 - 4 and -4\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - 9*y**2 - 9*y + 12. Let i(c) = 219*c**2 - 117*c + 121*c + 2*c**3 - 6 + 0*c**3 - 215*c**2. Give 9*i(t) + 4*z(t).\nAnswer: 2*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-56) + (466\/14 - 0). Find the first derivative of 9 - 37*b + 16 + 14 - z wrt b.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*s - 7 = b, 8 = -2*b - 4*s. Let d = -4 + b. Solve d*f + 2*f = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.103 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9534, -19090, -28648, -38208, -47770?\nAnswer: -57334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 10*o - 23. Is q(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12266 (base 11) to base 2.\nAnswer: -100010011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 2*i)*(1305 - 1857 - 4495 - 1214 - 728).\nAnswer: -6989*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:15 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 77. Calculate the remainder when y is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(225\/100 + -3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from yylxrrryrrrrrrrrrlrx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 5*s - 15, -5*t + 9*t - 5*s - 33 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41418 + 16209. Let z = -11464 - b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 - 6*k + 1. Suppose 0 = 17*r - 26*r + 45. Let n(c) = -8*c**3 - 7*c + 1. What is r*m(o) - 4*n(o)?\nAnswer: -3*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let m(x) = -x. Let a be m(v). Solve f = -4*b - 8 + 4, 0 = a*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.86 + -11. Round s to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62*(1\/2 + 5 + -5). Let k = h - 21. Let u(b) = -b**2 + 9*b + 6. Give u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 10*z - 2. Let n be v(-7). Let q = n - 24. Suppose 0 = a + q*a - 2*c - 207, a - 4*c = 79. Round a to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, b: 2, f: 5, l: 2}. Give prob of picking 2 g and 1 b.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -207, -381, -555, -729, -903?\n\"Answer: -174*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from lllllllollolfz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 5 + 7817744*v**3.\nAnswer: 7817744*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 e when three letters picked without replacement from zqqqzeqyqzqezzzese?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 17. Let f(d) = 4*d**2 - d + 5*d - 6*d + t*d. Let y(m) = 3*m - 2*m - m**2 + 1 - 2. What is f(z) + 2*y(z)?\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 402 - 383. Solve 0 = 19*v + x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 - 107. Let b(l) = -6*l**2 - 3*l. Let a(g) = -12*g**2 - 7*g. Calculate j*b(q) + 3*a(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - ((0 - 2)*3 + 10). Factor -70368 - 2*d**3 + 23815*d - 13015*d - 37632 - 360*d**2 + 2*d**3 + 4*d**a.\nAnswer: 4*(d - 30)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.6 - -17.6. What is the smallest value in 3\/5, -0.04, c, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.398 + 2.288. Let y = -2 + p. Let b = y - -0.01. Is 0 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 29. Let a = s + 10. Let i = -5 - a. Which is greater: 2\/5 or i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Suppose -4*s = -1 - 19, 0 = -4*o + 3*s - 171. Let l = 155\/4 + o. Which is the nearest to y? (a) l (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*r + 59*r + 608 - 460 = -152 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 38996 = 5*z, 0 = 8*z - 10*z + 5*r + 15572. List the prime factors of z.\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (29 + -3 - (-17 - -25) - 41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 408\/(-85)*(0 + (-100)\/3). What is the greatest common divisor of v and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -119*s. Let t(d) = -d**2 + 4*d + 2. Let q = -63 + 65. Let y(x) = -5*x**2 + 18*x + 9. Let b(u) = q*y(u) - 9*t(u). Give m(b(j)).\nAnswer: 119*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.05558nm to micrometers.\nAnswer: 0.01705558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -127. Suppose -14*u = 2*u. Sort 7, u, r in decreasing order.\nAnswer: 7, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/55)\/(4\/(-22)))\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28306 - 311368\/11. Let b = -5 - -8. Sort b, 1\/5, y, 70 in increasing order.\nAnswer: y, 1\/5, b, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156098 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10412 is divided by 1154?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(11) + 1 + sqrt(11) + sqrt(11))**2 + (sqrt(132)*3*1)\/sqrt(12).\nAnswer: 180 + 57*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(9) + -2*sqrt(81)))\/(sqrt(28)\/(sqrt(14)\/sqrt(2)) + -1*sqrt(36)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.694281 to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -540, 1, -17, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6, z + 4*t = -0*t + 19. Let n = z - 4. Solve -b + n = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -3.096 (c) 1 (d) 0.3 (e) -1\/2 (f) 18 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323740899 to the power of 1\/3, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3098507*a*u**3 - 301*a + 901*u**2 - 8*u wrt u.\nAnswer: 18591042*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -169915*s*v - 40341*s + 3*v**2 wrt v.\nAnswer: -169915*s + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x + 0*x - 231 + 5*x - 2*x.\nAnswer: -19*x - 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -101\/3 (b) 0.1 (c) -1\/4 (d) -1770 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*y - 2598 = 0, 12*y - 3494 = -4*m + 6*y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3944.994 to the nearest ten.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.356 to 1 dp.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1869676 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102012202102220 (base 3) to base 8\nAnswer: -26566777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40439.7 and -3.\nAnswer: -121319.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1881)\/(-6))\/(-3) - -1. Let u = -3523\/34 - n. Let m = -6 - -1. Which is the nearest to -1? (a) m (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(4 - -1) + 0. Suppose -9*f = -s*f - 556. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j + 9. Let d(q) = 2*q**3 - 10*q**2 + 10*q - 2. Let i be d(4). Let y = 2 - i. Let f(w) = 3*w - 4. Determine y*g(u) - 9*f(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*x + 1. Suppose -3*m = -b + 34 + 126, 0 = -x*b + 2*m + 501. What is the remainder when b is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365 - -2?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*v - v**2 + 0*v**2 - 28 - 2*v**2 - v**2 = 0. What is v?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 192 = -3*h. Suppose 0 = -8*b + 1516 + h. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133584 plus 0?\nAnswer: -133584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a factor of 316609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + 9*l - 54. Let n(r) = 2*r**3 - 4*r + 27. Give 9*n(t) + 4*s(t).\nAnswer: -2*t**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -832\/33, 3\/7, -4\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:01 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1221687, -2443368, -3665049?\n\"Answer: -1221681*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307.1 - -29. Let m = p - -278. Let z = -13\/10 + 3\/2. Sort 4, m, 3, z in increasing order.\nAnswer: m, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7540843651 - -0.03?\nAnswer: 7540843651.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 + t**2 - 6*t + 5. Let n be k(1). Sort 5, 25, n in descending order.\nAnswer: 25, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 + 42*d + 2. Let i be o(6). Put -2, 9, 3, i in ascending order.\nAnswer: -2, i, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.05 (b) -21 (c) 2\/11 (d) -150 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193*j**4 - 326*j**4 - 41*j**4 + 99*j**4)*(-6 + 6 - j).\nAnswer: 461*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -444, -475, -528, -615, -748, -939?\n\"Answer: -2*w**3 + w**2 - 20*w - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*i**3 - 4*i**2 - 46*i wrt i?\nAnswer: 570*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 2130?\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20039653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*r - 3425 - 127 = 0. Let p(b) = b**2 - 1. Let h(c) = 7*c**2 + 6. What is r*p(d) + h(d)?\nAnswer: d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-91)\/(-5) + 1\/(-5). Let g = u - 9. What is the remainder when (-260)\/(-8) + 2\/4 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + q**3 + 0*q**2 + 5*q**2 - 5*q - 9. Suppose 0 = 2*g + 4*w + 20, -30 = 4*g - 0*w + 3*w. Let u be h(g). Solve -u*n + 2 = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/3 + 5870*s**4 - 659566*s**3 + 5830414*s**2\/3 - 1931728*s + 641952 = 0.\nAnswer: -8916, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5238*r**3 - 2631*r**2.\nAnswer: 31428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5 = -4*s - 8, -84*s = -4*b - 42*s - 12*s + 78 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1557 = -10*u + 783. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92352 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.36 to zero decimal places.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 45928866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29028, 29068, 29120, 29190, 29284, 29408, 29568, 29770?\n\"Answer: p**3 + 33*p + 28994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2052, 8595, 19636, 35175?\nAnswer: 55212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 464715*k**3 + 52011111*k**2 + 102628089*k + 51081690 = 0.\nAnswer: -154793, -110, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*p - 5 = 0, 5092*j - 5095*j + 16 = 10*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4))**(-23))**30*((f\/f**1)**(-3\/5))**0 assuming f is positive.\nAnswer: f**(-345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2697 + -2696. What is the nearest to 14.5 in 3, 2\/5, y, -1.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -11 (c) -153 (d) 23\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 - 155. What is the hundreds digit of b\/3 + (-15275)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68fd (base 16) to base 14\nAnswer: -9b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-50))\/(((-9)\/(-60))\/(3387\/36128))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*n**2 - 7 + 3 + n**2 - 2*n**3 + 3 to t*n + s*n**2 + k*n**3 + m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 443411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*x**3 - o**3*x + 1236*o**3 + 1461*o**2*x**3 wrt x.\nAnswer: 12*o**3*x + 8766*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121\/2, 40, -2, 2, -1\/6 in decreasing order.\nAnswer: 40, 2, -1\/6, -2, -121\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*-1*(5 + sqrt(17) + sqrt(17)*-1)**2 - -3*(3 + 2*sqrt(2448)*-3).\nAnswer: -216*sqrt(17) - 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/63*((-65)\/(-6) + -7 + -3 - 1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 12 = -2*n. Suppose 35 = n*y - 45. Calculate the smallest common multiple of y and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*4*528\/(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 264877?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(j\/j**2*j))\/(j**(-3\/5)\/j**(-6))*(j**(-4\/7)*j*j*j*j**(-3\/2))**3 assuming j is positive.\nAnswer: j**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n = -109*n + 581 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 = -2*z. What are the prime factors of (-6)\/(-8)*(90 - z)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 5878042.\nAnswer: 5878041.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 14. Is (93 - -5) + l + 0 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {c: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -6. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1708, -3324, -4842, -6262?\nAnswer: -7584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**3 + 4*h**2 + 4. Let p(k) be the third derivative of 21*k**6\/40 + 7*k**5\/12 + 35*k**3\/6 - 311*k**2. Determine 35*o(g) - 4*p(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14844315 and 408?\nAnswer: 118754520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.162485 centuries?\nAnswer: 716.2485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c + 3*c**3 + 0*c - 16*c**3 + (-4*c - c + 2*c)*(-3*c**2 + 0*c**2 + 4*c**2).\nAnswer: -16*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.30468 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 28. Let t be s(-22). Let x = 138 - 225. Let u = x + t. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*75\/(-50).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - p + 11 = -4*s, -4*p + 34 = 3*s. Let t = -9 + s. Calculate the remainder when t is divided by (1\/(-2))\/((-1)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*3\/(-9). Let p = 1.34 + 0.06. Let x = -1 + p. Is z smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 25*k**2 + 22*k + 97. Determine a(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (24 + -13 - 24).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2 - 716*r + 3. Give i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1505 + 1525. Calculate the remainder when 210 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2302 - 1617. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, j: 1, u: 6, y: 2}. Give prob of picking 3 u.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 1 - 7, -5*i + 14 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3221 at least -2782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 370*s**5 - 70542*s**4 - s**2 + 3684375*s - 8.\nAnswer: 22200*s**2 - 1693008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 1. Calculate x(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + -6 + -6 + 7) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037247 rounded to 4 decimal places?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 50589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*u**4 - 147*i**2*u**3 + 12*i**2*u**2 - 2*i**2 - 3*i*u**2 + u**4 wrt u?\nAnswer: 24*i**2*u - 882*i**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 20*b + 41. Suppose -1201*u = -1250*u + 1029. Give c(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23772?\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -1. What is the lowest common multiple of y and (-22)\/286 - (-1175)\/65?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(7\/6))\/a)\/a**(-11) assuming a is positive.\nAnswer: a**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033347738 rounded to 7 dps?\nAnswer: 0.0003335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/5)*j)\/j**(-7))\/(j*j**(1\/3))**(43\/3) assuming j is positive.\nAnswer: j**(-428\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-10)*(-7825)\/12520.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - -2) - (-3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 7*v - 9. Let q(y) = y**2 - 3*y + 4. Suppose -97*j - 10 = -92*j. Determine j*n(i) - 5*q(i).\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7018942 by -369418.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4414445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 266304 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6661, 6649, 6615, 6547, 6433, 6261, 6019?\nAnswer: 5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 388*j**2 - 181*j**2 - 9*j**3 - 2 - 210*j**2 + 18*j - 2*j**4 to l*j**3 + f*j**2 + u*j + x + m*j**4 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 6. Let n be (-15)\/t - 2\/(-4). Let j(o) = o + 1. Let g(x) = -7*x. Let l(y) = -36*y. Let b(z) = 21*g(z) - 4*l(z). Determine n*b(c) - 2*j(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2922*m - 1437*m - 887672 = 3328*m - 1160*m for m.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 - 3*o**2 - 3*o + 13. Let g be (-8)\/(-10) + (-1)\/((-20)\/(-116)). List the prime factors of z(g).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 281*c**4*r**2 - 75*c**3*r**2 - 6015*c**2*r**2 - c*r wrt c?\nAnswer: 6744*c*r**2 - 450*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103680 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 744 - 746. Suppose 4*f = g - 20, -3*g + 9 + 3 = -4*f. Let p(m) = m**3 + 7*m**2 + 6*m + 4. Let t be p(f). Put 3, t, l in decreasing order.\nAnswer: t, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + (-5)\/25. Let l = 7 - n. Suppose 0 = 2*f - l*f, 93 = 3*o + 5*f. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 36*u**2 + 4*u + 2. Let o(v) = 18*v**2 + 2*v + 1. Let i(h) = -2*j(h) + 5*o(h). What is i(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 3*w - 21. What is m(-9)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 7, y: 2, q: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Determine o(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -f + 110. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 5, 8 in decreasing order.\nAnswer: 64, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 + 7*f + 10. Let a be k(8). Let w be (-4 + (a - 2))\/(-2). Suppose -28 = -w*v + 42. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)*b*b*b*b**(-13))\/(b**0*b*b**(3\/8)\/b*b) assuming b is positive.\nAnswer: b**(-447\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1, 5\/12, -129?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 - -405. Calculate the highest common factor of g and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:04 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 5*z + 2. Let d be (-85)\/(-20) - (-1)\/(-4). Let x be 6 - (2 + -5 + d). Suppose 0*v + 11 = 3*v + x*j, -v + 13 = 4*j. Determine g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.1 + -10. Let y = -2.3 + 2. Let r = 0.4 + y. Is d less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2*5\/(-50)*-72. Are 21 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -74*n - 1527. Let f be t(-21). Solve -4*k = 5*a + f, 3*k - k - a = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:58 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 19, 58, 123, 220, 355, 534, 763?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**3 - x. Let r(q) = 56*q - 2*q**3 - 58*q + q**3 - 6*q**3. Give -2*r(o) + 3*v(o).\nAnswer: -7*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10512*h - 10501*h = -11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 5*z - 38. Let n(s) = -3*s - 19. Let l(g) = -9*n(g) + 4*r(g). Is l(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:01 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 72, 0, 41, -852 in increasing order.\nAnswer: -852, -5, 0, 41, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3757052 - 410118819.\nAnswer: -413875871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1232\/15 and -81 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3255 - 3259. Sort -575, 0, h in increasing order.\nAnswer: -575, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 228 = 4*p. What is the highest common divisor of 38 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) + (sqrt(85) - (sqrt(85)*-2 + sqrt(85))) - sqrt(85))*-4*-1)\/((sqrt(60) + (sqrt(60) - 6*(sqrt(240) + sqrt(60))))\/(sqrt(36)\/sqrt(3)*5))*-6.\nAnswer: 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -10. Let w = a + -5.00000024. Round w to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:15 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1082 - 467. Let b = d - -4216. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*y**5 + 4*y**4 + 4*y - 31?\nAnswer: -860*y**3 + 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-725)*70\/(-21)*5\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 11 = 4*i - 3, 3*i + 15 = 0. Let z = -4 + a. Calculate the remainder when 30 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572) - (2*sqrt(572) + sqrt(572)))\/sqrt(11) - (sqrt(52) - sqrt(208))*1)\/((sqrt(512)*-2)\/sqrt(8))*-3 + -3.\nAnswer: -3 - 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.220192286 to 5 decimal places.\nAnswer: 0.22019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2360*w**3 - 2360*w**3 - 2358*w**3 + 7073*w**3 - 3.\nAnswer: -5*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(4\/(-32))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 71*s**4\/24 - 236*s**2. Let g be -1 - 1\/(1\/(-3)). Let c(a) = a**2 - a**g + 2*a**2. Calculate c(o(u)).\nAnswer: 10082*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -36950251*c**2 + 28501*c + 342012. Let t(k) = 7779*k**2 - 6*k - 72. What is -6*l(s) - 28501*t(s)?\nAnswer: -7773*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + (-1 - (-7 + 3) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 58104 = -85*j. Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from eesesseerse.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -178800 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i. Let l(z) = 13*z. Let c(w) = 2*l(w) - 9*p(w). Let u(r) = -7*r + 1. Let j = -8 - -3. Let d(h) = j*c(h) - u(h). Determine d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:31 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -3*h**2 + 96*h - 23. What is the smallest common multiple of 66 and i(14)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:06 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 - 4*f - 2. Let o be l(-3). Suppose -4*n + 5 + 27 = -4*w, 3*n + 41 = -2*w. Let r be 2\/((4 - 6) + 6 + w). Sort o, -2, r.\nAnswer: -2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-6) + (-13 - -37))*-2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266278068 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0\/(-6)) + (-4)\/(-151). Let a = d + -2023\/2265. Find the common denominator of 69\/50 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 857*o + 24091. What is k(27)?\nAnswer: -1964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40817 + 40817 + 281*f**5 + (-6*f**2 - f**2 + 5*f**2)*(3*f**3 + 2*f**3 - 4*f**3) + (4*f + f**2 - 4*f)*(f**3 + 3*f**2 - 3*f**2).\nAnswer: 280*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. What is the third derivative of -2*d**3 - 3*d**5 + 2*d**3 - 2*d**2 - d**o wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1615027.34006 - -2.\nAnswer: -1615025.34006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -115*n + 12. Let i(m) = 317*m - 34. Let z(t) = -11*a(t) - 4*i(t). Let g(v) = 122*v. Calculate g(z(x)).\nAnswer: -366*x + 488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76148943 plus 3.377?\nAnswer: 76148946.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(7\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-48))\/(3\/(-12)). What is the nearest to 0.1 in -25, m, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**2 + 13*i + 4. Calculate j(7).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*w - 4 = 0, 5*f - 4*w + 8 = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056 minus 619219353569?\nAnswer: -619219353568.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1863 - 1897 - 6*n - 4*n + n.\nAnswer: -9*n - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 2 = -6*y + 3*v, 0 = y - v + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25986 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*i**2*j*s - 21272*a**2*i*j - a**2 - a*i**2*j - 102*a*i**2*s + a*i**2 - 4*a*j - 29*j*s wrt a.\nAnswer: 6*i**2*j*s - 42544*i*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3049, 1, -79?\nAnswer: -3049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.58? (a) 2 (b) 2\/17 (c) 2.0688\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + -1.4. Let o = -0.64 - -0.6. Let j = o + -0.16. Which is the nearest to 0? (a) -1\/2 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rym when three letters picked without replacement from {d: 2, y: 2, m: 1, r: 2, a: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730913567.\nAnswer: 31, 23577857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = g - 0*g + 5, 4*d - 4*g = -28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2466\nAnswer: 9864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b. Let o(j) = -5113697*j. What is w(o(g))?\nAnswer: 10227394*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsv when three letters picked without replacement from {b: 1, s: 1, v: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 9. Let y(b) = -3*b + 18. Suppose -r + 10 = -3*r. Let u(t) = r*p(t) - 2*y(t). Let c be u(-7). Solve c*a - 8 = -2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520625647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15864\/103 + 154. Suppose 0*m + 3*m = -3. Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10075 and 411827?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75139979.\nAnswer: 137, 331, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 100 = -2*t, 4*q - 155 = 4*t - 123 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3058, -2625, -1450, 839, 4614, 10247?\n\"Answer: 62*a**3 - a**2 + 2*a - 3121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*(-6)\/(-4)*(-2300)\/(-3450).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/3)*j)**(-5\/9)*(j*j**4*j)\/j**2 assuming j is positive.\nAnswer: j**(88\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*o = -138120 + 5380847. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -12) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 19. Suppose -2*t + 1 = -j*g + 131, -3*g + 77 = -t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*y - 135 = -361*y - 1446 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462838, 1851525, 4165994, 7406239, 11572254, 16664033, 22681570?\nAnswer: 29624859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 10, -m - 2 = -j + 3*m. Let v(b) = -377*b + 192*b + 6 + 187*b. Calculate v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 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: Solve 2*n + 5*h + 13 = 3*n, 34*h - 38*h = -2*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 216, 235, 266, 309, 364?\n\"Answer: 6*l**2 + l + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/42 - 19190\/(-133). Which is bigger: c or 27?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/(g\/g**(-2\/35)))\/g*g)*g*g**(-30)\/g assuming g is positive.\nAnswer: g**(-1013\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16092*v**3 + 5*v**2 - 45*v. Let r(p) = -362649313*p**3 - 112679*p**2 + 1014111*p. Give 5*r(o) + 112679*t(o).\nAnswer: -16097*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 1. Let i(f) = -2*f + 2. Let b(w) = -w**3 + 3*w + 3. Let z be b(-2). Let c(s) = z*i(s) - 4*t(s). Let m(y) = -1. Give c(n) + 6*m(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 35*v + 27*v + 32*v - 93*v. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3306922.\nAnswer: 2, 907, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/3 in -0.3, 0, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, m: 3}. What is prob of picking 2 o and 1 m?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 9 = -13*h + 57. Solve 1 = -n - 2*c, -c + 6 = h*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72219 is divided by 48.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 - (3 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 37 = 9*j + 12, j - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -5\/12*c**4 + 0*c**3 + 2*c - 1\/2*c**6 - 5\/42*c**7 - 3\/4*c**5 + 0*c**2 + 70. Find h, given that s(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 + 2*q**2 + 8*q**4 + 12*q**2 - q**2 wrt q.\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 at most as big as 951\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 4. Let y(l) = 3. Suppose 4*x = n - 9, -13 + 19 = -2*n. Give x*a(g) + 4*y(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 17\/((-663)\/477)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 822*i*k**2*u**2 + 3*i*k**2*u - i*k - 63*i*u**2 + 275*i*u + 2*k*u wrt k?\nAnswer: 1644*i*u**2 + 6*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-1)\/(2 + -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:15 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1446 - -5783\/4. Which is the fourth biggest value? (a) g (b) 17\/5 (c) 0.5 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*1*(-504)\/(-240)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-224))\/(8 - 75\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441036 - 441036 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-3 - -9) + -2 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10300.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/1 - 160\/(-60)*108\/(-42) and 2\/489?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**9\/3528 + c**8\/1176 + c**7\/2940 - c**6\/1260 - c**3\/6 + 7*c. Let p(w) be the second derivative of r(w). Solve p(i) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from xxfbaaxfxfmxxby?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/5 + 5192*w**4\/5 - 36416*w**3\/5 + 67684*w**2\/5 + 15582*w\/5 - 93708\/5 = 0.\nAnswer: -2603, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3447, 6013, 12973, 26523, 48859, 82177, 128673, 190543?\n\"Answer: 366*p**3 + p**2 + p + 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/12 + 53*c**3 + 25281*c**2\/2 - 2*c + 48. Factor k(r).\nAnswer: (r + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -12, -2\/15, -7, 5\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 425641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 867677*n**3 + n + 1. Suppose 4*g + 16 = 0, 0 = -4*l + 8*g - 3*g + 16. Let i be s(l). Let h = i - -1417677. Round h to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.6 - -28.9. Let w = b + 18. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669623883.\nAnswer: 929, 1797227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 2*s - 4. Let c be u(5). Let x be 0 + -2 + 0 + c. Suppose 4*r = 3*p + 15 - 3, -3*r + 20 = -5*p. Solve -2*i - 5 = -3*a + x, -4*i - a = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 5*m + 3*k - 0*k, 2*k = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 16*k**2 - 2*k + 34. Let y be l(16). Suppose -2*p = -y*b + 2, 5*b = -p - p + 33. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**9\/12 + 9*j**5\/5 - j**4\/24 + 35*j**2 - 3*j. Find the third derivative of w(c) wrt c.\nAnswer: 5040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -877269?\nAnswer: 877268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = 216. Let q = 59 - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 divided by 115?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 23575 + 23575.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 46, 82654 in decreasing order.\nAnswer: 82654, 46, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55167.427 rounded to the nearest ten?\nAnswer: -55170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-2)\/c*c))\/(c*c**(-3)*c))**(2\/49))**(-4\/13) assuming c is positive.\nAnswer: c**(-32\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917783083?\nAnswer: 3, 17, 53, 1079461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -30. Suppose 5*c = -4*b + 8, h*b = -3*c - 0 + 3. Factor -c*v**2 - 8*v + 0*v**2 + 16 - 4.\nAnswer: -4*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12992\/(-2639) - (0 + -2 - 3).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 5*s - 55085, -4*s = 2*h - 27510. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8837502.\nAnswer: 2, 3, 109, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2 - -10) + (-2 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*((-5135)\/10)\/13. Let i = -227 + z. What is the greatest common divisor of 490 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 11 + -9 + -7 + (0 - -7)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -165 + -5 - 4. Find the common denominator of -65\/69 and 2*x\/60 + (-6)\/(-9).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let p = 387 + -897. Let b be (-8)\/(-68) + (-93)\/p. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*p + 31 = 400*p - 73. Solve -4*o + 3 = q, p*q + 35 = 5*o + 21*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/(((-16)\/10)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77965802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216*c**2*f*o*t - 66*c**2*f*o - c**2*f*t - 2*c**2*f - 2*f*t + 62*f with respect to o.\nAnswer: -216*c**2*f*t - 66*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(208)*2)**2 - (sqrt(208) - (sqrt(208) - (sqrt(208) - (sqrt(208) - (sqrt(208) + 1 + -5))))).\nAnswer: -4*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50992 - 51022.059. Round p to one decimal place.\nAnswer: -30.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612706 (base 8) in base 10?\nAnswer: -202182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/4)\/(12\/864). Suppose 3*u = -z + 118, 5*z - 5*u - b = 2*z. Does 34 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3348*h + 1302. Let t(r) = -93*r + 36. What is 6*m(v) - 217*t(v)?\nAnswer: 93*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -186, -99, 136, 525, 1074, 1789, 2676, 3741?\n\"Answer: n**3 + 68*n**2 - 124*n - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 2.4. Let m = -0.395 - 1.605. Which is the second smallest value? (a) 1\/2 (b) m (c) n (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*-4 + sqrt(252))\/sqrt(4))\/(((sqrt(252)\/sqrt(4) - sqrt(63)) + sqrt(63))\/sqrt(7)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + -2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76.139 - -0.139. Let j = w - -75.9999556. Round j to six decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 15 = 4*s. Let m(l) = -9*l - 6. Let w(t) = 17*t + 11. Let k(g) = s*m(g) - 6*w(g). Let j(q) = 23*q**2. What is k(j(y))?\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a factor of 591152665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzzzzzzzzzzzuu. What is prob of sequence uuuz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -19*z - 110. Let a be q(-16). Let r = a + -198. Put 0, 5, -8, r in descending order.\nAnswer: 5, 0, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5525*2.\nAnswer: -11050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.6 (b) 4\/7 (c) 647 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -525230, -1051043, -1576856?\n\"Answer: -525813*w + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, 4, -5, -461 in ascending order.\nAnswer: -461, -5, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 y when four letters picked without replacement from rwywywwwywrwrywwww.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22464491 and -5735.\nAnswer: -22470226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdwwdgdwlrg. What is prob of sequence dwd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*a + 3 = 222*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*k + 0 - 8 + 8 to the form t + u*k and give u.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/2, 2, -0.041, 0.5?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 17 - 34)*(2 - 2 - v**3 + (-21*v**3 - 42*v**3 - 3*v**3)*(-5 + 2 + 1)) in the form g*v**3 + d*v + k*v**2 + f and give g.\nAnswer: -5502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 80*p**2 + 2*p + 61. Let l(s) = -8*s**2 - 6. Let r(j) = 62*l(j) + 6*m(j). Let c(f) = -f**2. Give r(c(u)).\nAnswer: -16*u**4 - 12*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 501 and 876390449?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:55 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.228556 rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(2) + 5 - (3 + (sqrt(2) - sqrt(2)*2)**2 + sqrt(2))) + ((-4*sqrt(8))\/sqrt(4) - (sqrt(256)\/sqrt(8))**2).\nAnswer: -32 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1254 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = u + 24. Suppose 0*w + 100 = u*w. Solve -k + 20 = 4*v + 5, 0 = -5*k + 5*v - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 81, 55, 19?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, 0.41, -2\/681?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let z = -190 - -189. Let x be (-473)\/(-66) + z*1\/6. What is j(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 16243 - 16214. Solve -s*r = 482 - 250 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 18\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/756)\/(4\/21).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270048379*h**2 + 63087788*h.\nAnswer: -540096758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 - -114. Suppose -12 = i - 2*i. Let f = g + i. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101110?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 5*h**2 - h**4 + 2*h - h**2 - 5*h**2 + 4*h**3.\nAnswer: -h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r + 15. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943853469?\nAnswer: 3, 48689549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313 - -311. List the prime factors of -4 - (h + -389 + 7).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-3))\/(2\/(-4)). Let a = 8 + d. Suppose 0 = -4*b, -7*i - b = -a*i - 43. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let q be (4 + 270\/(-65))\/((-4)\/(-14)). Let y = 9\/65 + q. Sort y, 4, f in increasing order.\nAnswer: f, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80635536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = t - 4*o, -4*o - o = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 4*t**3\/9 - 68*t**2\/3 + 124*t + 160. Factor l(j).\nAnswer: 4*(j - 31)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-18 - -14 - -20 - -3)\/(-1)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 118626*i + 26 + 26.\nAnswer: -118626*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/2 (b) 4 (c) 3\/8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/498 and 2\/51.\nAnswer: 8466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*h - 43*h - 40. Suppose -h = 3*j - 2*w, -15 = 2*w - 5*w. Which is the closest to -2\/3? (a) j (b) -0.2 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27964 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146629630 divided by 5.\nAnswer: -29325926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (10\/12)\/(-7*(-26)\/(-364))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 3, 2\/13, -2, -5\/11 in descending order.\nAnswer: 3, 2\/13, -0.04, -5\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08464 + 43.\nAnswer: 43.08464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 0*h)*(3 - 3 + 12 + 2 - 5 + 2 + (4 - 4 + 2)*(0 - 3 + 1) + 0 - 1 + 0 - 4 + 3 + 3)*(-2*h**4 + h**4 + 0*h**4).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 936247973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 121 + 31 = 0. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 4\/21*f**3 - 8\/35*f**5 + 4\/7*f + 5\/7*f**2 - 1\/21*f**6 - 2 - 2\/7*f**4. Suppose d(g) = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1598\/(-19) + ((-2)\/2)\/((-17062)\/1796)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274 (base 8) to base 9.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Suppose -q + 8 = -d*q. Solve 2*a = 5*a - 4*x + q, 5*x - 33 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(252\/(-54) + (-905)\/(-195)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = 27 + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**4 - 4*m**3 + 24*m**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-37 - -123) + -6?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - -86?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/8, 1.3, 344, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14157 - 9994. Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30592139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25716 + -8334. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) -0.4 (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -231300 (base 4) in base 11?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17220*t - 8603*t - 3*t**3 + t**3 - 8617*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 37344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111538 minus -0.0526?\nAnswer: 111538.0526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (7 - 21) - 8 - 20.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31818?\nAnswer: 2, 3, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56979.53 kilograms to nanograms.\nAnswer: 56979530000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2938 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 450 and 4.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64672046 to the power of 1\/2, to the nearest integer?\nAnswer: 8042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -2 - (26 - (-3 - -12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/24 + (-8)\/(-3). Solve a*o + 2 = -5*b - 14, -3*b = -4*o + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219205698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 115*k - 450.\nAnswer: -5*(k + 5)*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 + -3. Let u = -296\/5 - -59. Sort m, -0.5, u.\nAnswer: -0.5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 2*o + 5. Let a(f) = -16 + 2*f**2 + 2*f + 2 - 7*f. Let i be 3 + (2 + -26)\/4. Let j be 12 + i + -1 + 0. Give j*p(m) + 3*a(m).\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2676580 + 3988214. Suppose o = -m - 588366. What is m rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/5 - 3752868*r**2\/5 - 15011436*r\/5 - 15011424\/5 = 0. What is r?\nAnswer: -1250952, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.375236 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.84347 to 2 dps.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 14748.347 to the nearest 100.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2105*j = 2112*j - 70 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21078 and 17316?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/21))**(1\/2)*(n*n**(-3)*n)**(-29) assuming n is positive.\nAnswer: n**(608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357.387 rounded to 0 dps?\nAnswer: -1357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 bigger than -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-39) + (-293160)\/(-273)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine halves of a litre in millilitres?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sum 971 and -579358.\nAnswer: -578387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29490 (base 11) in base 2?\nAnswer: 1010001101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -0.2.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7886*c**3*p**2 - 3*c**3 - 3*c**2*p**2 + 2*c**2 - 2*c - 1413 wrt p?\nAnswer: 15772*c**3*p - 6*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 3*f**2 + 10*f - 6. Let o be x(5). Which is bigger: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3489742146 - -4?\nAnswer: -3489742142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezbnne. Give prob of sequence ze.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + a + 1. Let x(m) = 2*m**2. Let f(i) = 3*p(i) + x(i). Calculate the remainder when 9 is divided by f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*h + 164 + 32, 5*t + 2*h - 254 = 0. Calculate the smallest common multiple of 6 and t.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2633 + -1158?\nAnswer: -3802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0 + 2. Which is smaller: b or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 110. Let w(h) = -69*h - 1. What is the remainder when w(-1) is divided by 56\/(-36)*3*c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -98, -262, -602, -1190, -2098, -3398, -5162?\n\"Answer: -12*p**3 + 20*p**2 - 36*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**3 - 15*f + 6*f**3 + 2*f**4 + 18*f + 3*f**2 - 24*f**2 - 8*f**3 in the form t + x*f**2 + v*f**4 + b*f + m*f**3 and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 1. Let m(r) = -13*r**2 + 5*r - 7. Determine -m(c) - 5*o(c).\nAnswer: 13*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3031 + -1?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12680.7 times -8.1?\nAnswer: -102713.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2, -2, -4, 1.5406, 0.2 in decreasing order.\nAnswer: 2, 1.5406, 3\/4, 0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 13. What is r(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 1. Suppose -k*y + 10 + 6 = 0. Solve -v - y = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4709 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2038, -16384, -55348, -131248, -256402, -443128?\n\"Answer: -2053*c**3 + 9*c**2 - 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let g(c) = -4*c**2 - 5*c - 4*c - 3*c + 6*c**2 + 8*c - 17. Let m(v) = v**2 - 2*v - 8. Let o(p) = -6*g(p) + 13*m(p). What is 3*h(y) - o(y)?\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let p = 6391 - 18992\/3. Let q = p - 62. Sort 0.2, 1\/2, q, k.\nAnswer: q, k, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/2)\/(9\/(-12)). Let g be 8\/d*(-7)\/2. Let i(r) = -r + 0*r + g*r. Let j(a) = -3*a. What is j(i(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -7*o**6\/10 - 83*o**3\/6 + 63*o**2. Find the first derivative of c(h) wrt h.\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/(-25))\/((-8)\/(-10)). Let u(r) = -r**2 - 8*r + 4. Let o be u(-8). Suppose -5*l - v - 10 = v, o = -2*l - v. Is t smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 665*f**2 - 324 - 329 + 665 - 2*f wrt f.\nAnswer: 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 - 17943*c\/7 - 9700140\/7.\nAnswer: -3*(c + 601)*(c + 5380)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 11064*v**2 + 0*v + 15151*v**2 + 0*v to s*v**2 + z*v + w and give s.\nAnswer: 4087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5528)\/(-22))\/4 - 14\/(-77). Suppose -g + 1573 = p - f, -p - 2 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000473166 to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 2. Let g be a(-5). Suppose -6*p = -g - 183. Let d = 9 + p. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*d - 2*k - 106, -5*k + 5 = 5*d. Put -4, 1, 78, d in decreasing order.\nAnswer: 78, d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -104 - 42?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247965 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:46 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z + 14*z = 560. Let y(j) = j**2 - 12*j - 68. Calculate y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**3 - 77*s**2 + 25*s - 33. What is the smallest common multiple of d(11) and 1287?\nAnswer: 28314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 149*r - 1455. Determine z(63).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmeeeeq. Give prob of sequence mm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 113.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/(-126) + (-2)\/6. Sort 0, 1, b.\nAnswer: 0, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20 not equal to -1731192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*u + 18*u + 576 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-121)\/(-66) + 1\/6. Suppose -2*z - 1 = c*n - z, n - 3*z - 3 = 0. Which is smaller: n or -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*q = k - 18, 55501*k + 3*q = 55499*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(270)*-5)\/(sqrt(864) + sqrt(864)*1 + sqrt(864) + sqrt(6) + (sqrt(6) - sqrt(54)*-6)))**2 + 5.\nAnswer: 2105\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 5*u + 4. Let t be o(-4). Solve -2 = -t*p - p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 138*y + 273\/2.\nAnswer: 3*(y - 91)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:39 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*g = -213*g + 24*g + 3070 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (4 - (-4 - -6)). Solve -3*m = -3 - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328040870*j**2*p + 60*j*p + 4*j + 1305*p + 3 wrt j?\nAnswer: -656081740*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -47*a - 2858. Let f(s) = -s**3 + 7*s**2 - 8*s + 4. Let u be f(5). Let t = 57 - u. What is the smallest common multiple of k(-61) and t?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/k**10)\/((k*k**(1\/4)*k)\/k*k)**(42\/5) assuming k is positive.\nAnswer: k**(-399\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*t = 17, -5*k = -t + 23 - 45. Let y(r) = -2*r**3 + 3*r**2 + 4*r. Let w(z) = -3*z**3 + 4*z**2 + 5*z. What is k*y(a) - 4*w(a)?\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k. Calculate the remainder when 3 - 1 - (3 - 22) is divided by (k + (-11)\/(-3))*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2681*k = -2685*k + 40. Solve -9 = -v - 2*j, -k*j + 11*j = -4*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17785858141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afbigif. Give prob of picking 1 a and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -29 - 4) + 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 1 - 2*w**3 - 2*w + 1\/4*w**4 + 3*w**2. Determine k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203*f + 1207*f - 4804*f + 1202*f + 1201*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -10 - 12 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.5 from 148913.\nAnswer: 148914.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6569496 to the power of 1\/3, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1800*d + 4269. Calculate x(-4).\nAnswer: -2931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {s: 3, c: 11, j: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*k = 371*k + 30, -3*k = v - 75645. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19246 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 + (-3 - (1 + -2)) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1396, -1\/4, -0.8, -2\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -133, -522, -1283, -2536, -4401, -6998, -10447?\nAnswer: -14868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13243687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2460 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:49 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -2*m - 5*h + h, 0 = 4*m + 2*h - 648. Let o(s) = 7*s + s - s**2 - m + 174. Let i be o(9). Solve 0 = -i*t + 4*d - 15, 0*t + d - 2 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -35*j. Let m(x) be the third derivative of x**5\/60 - 13*x**2. Determine f(m(k)).\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*z + 11*z + 2340. Suppose v - 78 = 3*v. Let c = -21 - v. Calculate the highest common factor of z and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0)*(6 + 11 - 32)*(j**4 + 7*j**4 + 7*j**4).\nAnswer: -225*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2. Let g(k) = 2*k**2 + 520450*k - 1. Give g(y(n)).\nAnswer: 8*n**4 - 1040900*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 + 5608*i**3 - 2690244*i**2 + 509779088*i - 29283468800 = 0 for i.\nAnswer: 100, 347, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 + 290*z**2 - 565*z + 280 = 0. What is z?\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*v - 12 = 167*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 10) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(-5 - 13). Let l be (3\/(-4))\/(1\/k). Let m(p) = -p**3 + 8*p**2 + 12*p - 5. List the prime factors of m(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 - 5*f**2 + 12*f - 35. Let z(q) = -q**3 - q**2 + 2*q - 1. Let h(n) = w(n) - 6*z(n). What is h(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61879550*h**2 - 93216*h - 174 wrt h?\nAnswer: 123759100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) - (-1)\/(9\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b44b99 (base 12) in base 9?\nAnswer: -11842230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19\/12, 4 in descending order.\nAnswer: 4, 19\/12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a + 3. Calculate the smallest common multiple of s(5) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*n - 758*n = -32976 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37*-89\nAnswer: 3293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + -7 + -4 - (-7 - (10 - 12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/30)\/((-1)\/15). Suppose -m = -2*m + 4*s - 2, q = 5*m - 4*s. Suppose g + 4*v - 28 = 0, -m*g = -7*v + 2*v - 108. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -15*d + 5*d**3 - 3\/4*d**4 + 3\/2*d**2 + 53. Factor k(p).\nAnswer: -3*(p - 5)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -84638998.7 and -53.\nAnswer: -84639051.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1 - 4*x + 4*x**2 - 6*x + 8*x - 2*x**2. Let h be n(5). Suppose h = 5*l + 6. Solve -4*y - 3*a = -7, y + 0*a = a + l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1709)\/45 + 2\/(-9). Let l = -38 - o. Factor 1\/5*j**2 + l*j + 0.\nAnswer: j*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d - 17 = 5*o + 26*d - 44*d, 0 = -2*o - 3*d - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (17 - (3 + -1)) - 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42814774 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/9 - 57262*w\/9 + 28630\/9 = 0 for w.\nAnswer: 1\/2, 14315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2 (c) 7 (d) -603\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011 + 452526888.\nAnswer: 452526888.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + z + 4, 4 = 4*c + 3*z - 4*z. Suppose c*p = 3*p - 33. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -0.4, 15 in decreasing order.\nAnswer: 15, -0.4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137932045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {r: 3, a: 1, w: 2, b: 6, j: 3, o: 4}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-57 - -37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + d - 411. Let c(q) = -1911*q. What is h(c(b))?\nAnswer: 10955763*b**2 - 1911*b - 411","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 41*t - 1100. Let x be a(18). Calculate the greatest common factor of 130 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x**2 - 14*x - 26. What is q(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64431 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {c: 4, n: 4, s: 2, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38908065?\nAnswer: 3, 5, 7, 23, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2*442)*-1. Let y be (550\/1694 + (-1)\/7)*11. Suppose -n + 184 = y*p, -147 + z = 4*n + 5*p. What is the highest common factor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.28 and 0.089.\nAnswer: -0.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 1. Let r be g(3). Suppose -5*y - 4*k = -4 + 2, -r*y - 2*k + 6 = 0. Suppose -5*x + 4*i = -127, 0 = -y*x + 5*i - 0*i + 44. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*((b\/(b\/(b**(2\/43)\/b*b)))\/b)\/b*b**(-14\/5)\/(b*b**(4\/5)) assuming b is positive.\nAnswer: b**(96\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3433*l**2\/2 - 3966*l - 2709. Differentiate p(z) wrt z.\nAnswer: 3433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, t: 1, a: 1, e: 1, r: 4}. What is prob of sequence rae?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 155 - 1. What is the remainder when 67 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 - 59 + 26*c + 39 + 310.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1813 and 70448?\nAnswer: 493136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148010\/18 + (-15)\/(-27)*4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 71100 = -24*j + 99*j. Is 79 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 14*c**2 - 2*c - 11. Let j(s) = -s**3 + 17*s**2 - 63*s + 135. Calculate the least common multiple of w(-3) and j(12).\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 11:24 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*k - 74242*k**2 - 843*k + 74239*k**2.\nAnswer: -3*k*(k + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g + g**3 - 5*g**3 + 5*g**3.\nAnswer: g**3 - 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-5)\/(-10))*2*-1. Let t(d) = d - 2. Let l be t(6). Suppose -l*c = -z*c + 48. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43c228 (base 15) in base 3?\nAnswer: 20002010020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 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 s be (55 + -7)\/(0 + -1). Let a = 82 + s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 9) to base 6.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 37, 1 in decreasing order.\nAnswer: 37, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 54198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 134181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/20 - v**4\/2 - v**3\/3 - v**2 - 3*v. What are the prime factors of c(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.03289 * 113.\nAnswer: -681.71657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1848, 3697, 5546?\nAnswer: 7395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -62*s**2 + 592*s - 1307. What is b(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-276 + 276)*1\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 3*g**2 - g**2)*(-16 + g**2 + 2 - g + 11).\nAnswer: g**4 - g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + b. Let w be (-1)\/(-4)*-6 + 99\/(-22). Calculate o(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16517 + -726787\/44. Let j(d) = d**2 + 32*d - 225. Let h be j(-38). Find the common denominator of g and -3 + h\/72*-122.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -211*z**5\/10 - 581*z**4\/24 - 22*z**2 + 1. What is the second derivative of b(l) wrt l?\nAnswer: -2532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -f + 3221, 0 = -4*f - 12*o + 6*o + 12834. Calculate the greatest common divisor of f and 2619.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006056475 rounded to 6 dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1973*d = 1963*d + 17810. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 18*u**2 + 3*u - 2. Calculate r(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25212 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.119 + 2.589. What is the closest to i in 0.3, -1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyxdxy. What is prob of sequence yxd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 63 - 110 = -6*c. Are -36 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 384 + -384. Let x be 2\/(((-3)\/(-3))\/3). Suppose -x = 4*h + 2*p - o*p, -3*h - p - 4 = 0. What is the nearest to 0 in -3\/4, -5, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 + 33 + -35)*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 1058222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314970 is divided by 155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7\/10088, -3, -27?\nAnswer: 7\/10088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15522 is divided by 674?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 22. Suppose -3 = 4*r + d. Let p be 40\/1*1280\/(r - -1). Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**17*b**(-3)*b\/b**(-1\/13)*b*(b\/b**20)\/b)**(-1\/6) assuming b is positive.\nAnswer: b**(17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**3 + 20*n**2 - 40*n + 15. Let f(q) = 10*q**3 - 24*q**2 + 38*q - 16. Calculate 6*c(m) + 5*f(m).\nAnswer: 2*m**3 - 50*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542421971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(35)\/((sqrt(150)\/sqrt(3))\/sqrt(10)) - (-3 + 2*sqrt(567) + 1))**2.\nAnswer: -170*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + 4*j - 5*j)*(5186*j + 1632 - 1632 - 9632*j - 5991*j - 6421*j) to the form y*j**2 + s + t*j and give y.\nAnswer: -33716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34973093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.34 - -5.06. Let q = -5.881846 - -0.481888. Let d = q + a. Round d to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237559 or -3800933\/16?\nAnswer: -237559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 - 3*t + 3. Suppose -9 = -2*v + 1. Suppose 4*g - 8 = 0, -3*j - 2*j + 50 = v*g. What is the lowest common multiple of p(-5) and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.8 + -34. Let l = 0.2 + c. Let m = l + 12. What is the second smallest value in m, -1\/5, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33 - 14) + -4 - 0) + -42 + 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*sqrt(78)\/sqrt(6)*-2)**2 + -3*sqrt(832)*2 + 2.\nAnswer: -128*sqrt(13) + 1318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 273 - 273.01201. What is i rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a factor of 41282900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(539) + -4)**2 - (sqrt(11) + sqrt(77)\/(sqrt(14)\/sqrt(2)) + 5 + (sqrt(176))**2).\nAnswer: -58*sqrt(11) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -151145\/6 at most -25190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 300. Suppose -3*l + 7*l - h = 0. Suppose 3*n + l = 8*n. Solve 6*i = n*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjfu when four letters picked without replacement from {f: 1, a: 1, v: 1, u: 1, j: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -38, 5 in descending order.\nAnswer: 5, -2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + j. Let c(i) = 7*i**2 + i + 2*i**2 - 2*i**2. Let v(l) = 3*c(l) - 5*z(l). List the prime factors of v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/3*3492\/24 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 47. What is the smallest common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 + 12. What is the units digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x + x - 40*x)*((4*x - 3*x + x)*(0 + 2 - 1) - x + 5*x + 2*x).\nAnswer: -440*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 + (-3)\/(6\/(-8)). Solve 2*g - 3*f - f = -26, -4*g - h = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9616.885 millennia to centuries.\nAnswer: 96168.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207 - -1333. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/117 + (-215)\/(-45) + 30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 10, 1, 16, -129 in descending order.\nAnswer: 16, 10, 7, 1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 228 = 8*b. Calculate the smallest common multiple of b\/(-95) - (-137)\/5 and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 633, 1272, 1929, 2610, 3321, 4068, 4857, 5694?\n\"Answer: s**3 + 3*s**2 + 623*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/1008*1589 - 16\/72?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c95989 (base 13) to base 7\nAnswer: -55110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 24. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/6 - 158*y**3\/3 + 213*y**2\/2 + 159*y = 0?\nAnswer: -318, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-4\/5)\/n))**(13\/4))**(-34))**(-16) assuming n is positive.\nAnswer: n**(24752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3078 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3561*a + 2060 = -3973*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r**3*v + 1632*r**3 - 23*r**2*v - 2*v + 299844 wrt r.\nAnswer: 3*r**2*v + 4896*r**2 - 46*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/3)\/(k**5\/k))\/((k**(-1)*k)\/(k**(-1\/5)*k)))\/((k**(-2)\/k)**(-2\/71))**7 assuming k is positive.\nAnswer: k**(-5813\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/5 of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -990.68 rounded to the nearest ten?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 173*q - 2638. What is p(-67)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -22 + 10. Let h = 10 - a. Suppose 2*o + 572 = h*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 97 = -7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.4. Let q = -0.21 - -0.11. Let i = -47 + 143\/3. What is the closest to i in q, j, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363841350?\nAnswer: 2, 3, 5, 37, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 643529848 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -320.1 times 2.8?\nAnswer: -896.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231108.\nAnswer: 2, 3, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 4. Let f be r(-3). Let -4*t**2 + 0*t + 0*t**f + 2*t + 2*t**3 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v - r, v = 3*r + 52 - 62. Let f(k) = 5*k**2 + k - 1. Let x be f(1). Solve x*d + i = -22, -2*d + v = -d - 3*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 33, -8, -0.2, -2, 4.\nAnswer: -8, -4, -2, -0.2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95753*f**6 - 107698*f**2 wrt f.\nAnswer: -11490360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 9*d**2 + 14*d + 10. Suppose -3*x = 16 + 5. Calculate the lowest common multiple of j(x) and ((-5)\/3)\/(7\/(-126)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -5. Let v = 0.1 + 0. Let r = -1.1 + v. Which is the second smallest value? (a) 3 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:02 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5276896*v**3 - 4008777*v wrt v.\nAnswer: 31661376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -59. Let o = 20.02213936973 + -0.02213903973. Let w = o - i. What is w rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5808*g**2 - 159*g - 3433. Let x(l) = -1936*l**2 - 56*l - 1145. Let a(v) = 6*n(v) - 17*x(v). Find the second derivative of a(m) wrt m.\nAnswer: -3872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3960 or 1857?\nAnswer: 3960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15620 - 19274 = 174*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414122 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 725.78202 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64491.3 millilitres to litres.\nAnswer: 64.4913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 10*j**2 - 8*j - 4. Let o be s(9). Solve -11 - 9 = o*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/240 + a**6\/144 - 9*a**5\/20 + 20*a**2. Let g(l) be the third derivative of c(l). What is the derivative of g(f) wrt f?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*i - 121081 = 0, 3240*u - 3*i = 3237*u + 363351. Round u to the nearest 1000.\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200270784 and 288.\nAnswer: 600812352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**3 + 190*z**2 + 182*z**2 - 372*z**2 + 53*z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*u = 13, -46 + 16 = 86*m - 84*m - 6*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 4, y: 2, z: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4*p - 2. Let d = -1 + 4. Let j = d + 3. Let t = j - 1. What is w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 14 + 8)*(b + 2 + 1 - 1) in the form d*b + z and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-414)\/(-96))*3\/(-1)*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 4*f**2 - 3*f. Suppose -2*o = 5*d + 3*o, 4*d - 4*o = -16. Calculate u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 - 0 - (-2136)\/60. Let w be ((i\/(-5))\/(-2))\/(6\/75). Suppose 5*h = 5*j, j + 3*j + w = -5*h. Which is the closest to j? (a) 1 (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25) + 14\/(-10). Let h(g) = 2*g**2 - 1. Let p be h(j). Put p, -4, 7 in increasing order.\nAnswer: -4, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 303, 579, 853, 1125, 1395, 1663?\n\"Answer: -v**2 + 279*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**1\/i)*i*i\/((i\/i**(-2)*i)\/i*i)*i\/(i*i**(-5\/4))*i\/(i\/((i*i\/((i*i**4)\/i))\/i)*i))**(-13) assuming i is positive.\nAnswer: i**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82850*f - 82852*f + 16 = 0. Let b(g) = g**3 - 9*g**2 + 17*g - 4. Let y be b(12). Calculate the greatest common divisor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 73, 112, 173, 262, 385?\n\"Answer: f**3 + 2*f**2 + 10*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3)*-1)\/(6\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/8767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -44*r - 6. Let w be z(6). Let s be 4 - 7\/((-455)\/w). Let c be ((-64)\/(-30) + -2)\/(-1). What is the nearest to -0.2 in c, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - -13 - 10) + (-222)\/(-27). What is the third biggest value in -5, 59, y, -1, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -25*p**3 + p**2 + 3. Let r be t(2). Is -193 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 434, -4, -129.14, -5?\nAnswer: -129.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -71 * 1.2\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 143\/3 - 2\/(-6). Suppose -c = -6*b + 24. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 22. Give z(35).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:30 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.008 - 0.002. Let x = h - -2.01. Let t = -2.04 + x. Which is the nearest to 0.2? (a) -5 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -30*28\/32*-160. Suppose 0 = t, 2*n + 3*t - x = 8*t. What is n rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1035546 + -63.\nAnswer: 1035483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7 + 97*k - 38*k - 28*k - 34*k. What is d(14)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*((((-1 + sqrt(175))*5)**2 - sqrt(175) - sqrt(175) - sqrt(175)) + (-4*(sqrt(175) + 0 + sqrt(175)))**2)*-2.\nAnswer: -156000 + 2650*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-52)\/24*2. Find the second derivative of v - 30 + 63*c**2 - 5*c - c**5 + 5 wrt c.\nAnswer: -20*c**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24835 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: Suppose -2*p - 12 = -v, -5*v + 42 = 3*p - 4*p. Let o(d) = 2*d - 20. Let q be o(v). Let j be (2 - -3) + 2\/(-1). Put j, 0, q in increasing order.\nAnswer: q, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4, 3*l + 4 = -340*b + 338*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.0375?\nAnswer: -0.1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 450510 - 450510.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 14. Let v be d(-19). Let w = -27 - v. Suppose -p + 1 + 1 = 0, 0 = -5*f + p + 373. What is the remainder when f is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0 - 6*v + 6*v**2 - 2\/3*v**3. Let n be m(2). Solve -23 = 2*j - 2*k - k, n*j + 5*k - 9 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -17*y**7\/210 + 7*y**4\/24 - 485*y**3\/6 + 399*y**2. What is the first derivative of c(l) wrt l?\nAnswer: -68*l**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71 - 71 - 355*q**2 + 23721*q + 181*q**2 + 172*q**2 + (q - 4*q + 2*q)*(q - 4*q + 4*q).\nAnswer: -3*q**2 + 23721*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*686\/(-294).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 - 135*w**4 - 885*w**3 + 5715*w**2 - 2352*w - 8820 = 0. What is w?\nAnswer: -35, -14, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*54\/(-81)*2*-3. What is the second smallest value in -0.5, -1, y, 9\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*m + 6*p - 15, -3*p = -9. Is m\/(1*1\/(-6)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/7*9534\/(-34050).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*m**4 + 531*m?\nAnswer: -864*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 44*h**2 + 37*h - 248. Calculate v(-43).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c + 74. Let z(s) = -s + 20. Calculate the remainder when f(-6) is divided by z(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -33.174 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*-1 - sqrt(95))*4)\/(-1*(sqrt(5) + sqrt(320))).\nAnswer: 8*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - c - 1. Let g be (-3)\/5*(-70)\/147*-7. Calculate i(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8237 divided by -6?\nAnswer: 8237\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -410, 11\/2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2822 + 2825. Solve -3*i - o*m = i + 29, 0 = 3*m + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4.6 (b) -1.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 258528.\nAnswer: 258528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:44 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 15. Let d be h(10). Let r be 0\/((2 + 0)*1). Solve r*m + m = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1366 + 2739 + 115*x**2 - 168*x**2 - 1373.\nAnswer: -53*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 - 7*r**2 - 7*r - 4. Let q be u(-13). Let v be (10\/q)\/((-3)\/(-144000)). Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:07 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:16 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/28 + 162\/(-42))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.822782 nanometers?\nAnswer: 0.000003822782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/2)\/((a*a*a**8*a)\/a)*a**6\/(((a**5\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1. Let j(k) = 4*k. Calculate -j(o) - 3*l(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 15. Let c(h) = -h**2 - 9*h + 1. Let b be c(-7). Suppose -b = 2*a + a, 2*a - 143 = -3*v. Calculate the highest common divisor of o and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 18 = -o, -17*o = 2*a - 21*o + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 2*p + 3*p)*(28 + 0 + 2)*(14*p + 19*p - 29*p) in the form u*p + n + f*p**2 and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:43 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.06 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*t**4 - 195*t**4 + 20*t**4)*(5 + 23 - 6 + 50).\nAnswer: -20304*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -11 + 12*g + 3*g**4 - 18*g**2 + g**3 + 35 - 4*g**3 + 0*g = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 + 2*w**2 + 2*w**2)*((1 - 3 + 4)*(5 - 4 + 1) + 1 + 0 + 2).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -473035972 at most as big as -473035971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507181774, 507181773, 507181772, 507181771, 507181770?\nAnswer: 507181769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 668 + -1243\/2. Calculate the common denominator of 19\/192 and g.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 3*r**2 + 6*r + 1. Let v be k(6). Let p = -195 - -183. What is the units digit of v\/(-8) + p\/(-96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31238987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*u = 2, 3*u + 0 + 3 = -3*r. Which is the nearest to 0.2? (a) r (b) -9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 472 and 16756?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 2. Suppose -k = w, -5*a + 2*w = -0*a - 587. Suppose 6*o = 9*o - a. Calculate the highest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 + (0 - -3). Let j be 3 - (-9 + g - -4). Suppose 2*p - 5*p = -j*i - 629, 0 = 4*p + 5*i - 787. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (-37 + (2 - -1)) - 8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*u - 915 = 0, 5*g - 793 = 6*u + 3689. What is the greatest common divisor of g and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -100, -182, -272, -370, -476, -590?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 3*u + 3435 - 2*u**2 - 12*u**4 - 3436 + 2*u**3 to the form o*u**4 + s*u**2 + j*u**3 + d + x*u and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewemmmwmtietmm. What is prob of sequence mtim?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/(92\/138) + (-11)\/(-9). What is the second biggest value in -5, -16, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56930, -56747, -56252, -55289, -53702, -51335, -48032, -43637?\nAnswer: -37994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -339*d - 1 + 336*d + 1 in the form y + m*d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917501?\nAnswer: 13, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/2 + 2*z**3\/3 - 5. Factor j(l).\nAnswer: -2*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1341.59*-0.03.\nAnswer: -40.2477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/15*15\/6. Let i be 7\/42 + (-1)\/(-2). Put 5, i, y in descending order.\nAnswer: 5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -2219.\nAnswer: -2219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 - 191 = -121*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -17*y + 13. Suppose -r = y*r + 168. Let l = r + 43. Solve -5 + l = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -571? (a) -0.1 (b) -0.4 (c) 0.4 (d) -0.5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44361 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: Let m(o) = o**2 - o - 20. Let l be m(-4). What is the tens digit of (-1)\/(-4) - (71\/(-4) - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19023\/2601 - 30\/(-85))\/(1\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.964 + 0.036. Let h = -28 - q. Let v = h - -53.9999. Round v to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -2\/5 (c) -0.54 (d) -0.055 (e) 7 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201 + -182. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27031 + 58435\/2. Let w = 26185\/12 - l. What is the common denominator of 1\/16 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4844689?\nAnswer: 4844689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(5*(sqrt(320) + -2) + 1 + sqrt(320) + 3 + 1))**2 + 5.\nAnswer: -17280*sqrt(5) + 415626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 922642?\nAnswer: 922642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-13)\/5)*5. Suppose -w*q + 2*p - 34 = -94, q = -3*p + 38. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 12. Let z(k) = -k + 2. Calculate the remainder when z(-6) is divided by (3 - 4) + g\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -84, 70 in increasing order.\nAnswer: -84, 70, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2097 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.065 and 2.1474.\nAnswer: 0.139581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 5 - 183 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 19 (c) 7\/5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + sqrt(150)*2*-1)*1)\/(-4*5*(sqrt(363) + sqrt(363)*2 - sqrt(363))).\nAnswer: sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p + 45. Let m be b(6). Suppose -2*n + m*a + 21 = 0, -3*n + 5*a = -7*n + 31. What is the least common multiple of n and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 9) in base 6?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 74. Let a be d(9). Let v be 4*(8\/4 + -1). Find the second derivative of 31*z - 32*z**3 - v*z + a*z**3 wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + h + 13. Let d be k(6). Let z = d - -74. Suppose 2*r = -2*o - r + z, 4*r + 64 = 5*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*s = 66, -4*s + 55 = 5*a - 17. Solve 3*q - 2*x = a, -5*q + 4*q + x + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/(-47) + 1\/((-42)\/(-130))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6857756 is divided by 277.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-1 - 0) + 24\/18. What is the third biggest value in i, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 - 4 = 2*g, 0 = -4*f - 4. Let t = g + -7. Let r be (165\/(-20) + (-2)\/t)\/(-2). Solve 0*q + r = h - q, -h - 5*q = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4 - 127446*s**3 + 8424504*s**2 - 127776*s - 5436613248 = 0. What is s?\nAnswer: -42548, -22, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:32 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157753 and 18469?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -39*h + 18*h - 13 - h**2 + 6*h + 9*h + 14*h. Give y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1717 + 2717. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/20 - (-26)\/(-455))\/(4\/(-7)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 5:10 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 765 = -h - 0*h, 596 = 4*t + 4*h. Let z be 896 + ((-81)\/3)\/9. Let s = z - t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 1 = -3*k - 7, 2*p + 8 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 1685*d**2 + 155200*d - 2176000.\nAnswer: 5*(d - 160)**2*(d - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665257\/657 - (-2)\/9?\nAnswer: 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043859 to 5 dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*v + z + 37, 2*v + z - 7 = 0. Let s(l) = 0*l + l**2 - l + 1 - 3*l. Let p be s(v). Solve p*o + 25 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108096023.\nAnswer: 3108096023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -64)*(-152)\/(-33592)*-238\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-27))\/((-3000)\/1539000)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -23. Let x = 0.22 + q. Round x to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4672483.\nAnswer: 41, 113963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 x when three letters picked without replacement from {e: 1, h: 3, s: 1, x: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4266*u + 178*u + 1779*u.\nAnswer: 6223*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 + 10*w**2 - 7*w**2)*(11*w**2 - 9*w**2 + 20*w**2).\nAnswer: 220*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 8. Let z be s(-5). Let f(w) = -2*w**2 - 3*w + 11. Let p be f(-6). Is 5 - 3 - (p - z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3 + 12 + 13*c - 14*c. Suppose 2*t - 26 = -2*m - 0*m, 5*m - 25 = 0. Let r be a(t). What is the greatest common divisor of 9 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58613 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492133 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 162 = -4*i + 94, i + 2*b = 61. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 - 11*c - 24. Calculate p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -5 - (1032 - 968)) + 5\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -39*f. Let s(t) = -1711340*t**2. Give s(h(q)).\nAnswer: -2602948140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 100 = -69*c - 332 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from ejjejjjjjjjeejej?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3578*x. Let m(j) = 3*j**2. Determine m(d(a)).\nAnswer: 38406252*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 96 + 366. Suppose 6 = d + 18. What is the lowest common multiple of 40\/18 + d\/w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -2*p**7\/21 + 2*p**3\/3 - 21*p**2. Find the first derivative of m(i) wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3165 = 5*r + 2*n, 0 = 2*n. Calculate the common denominator of -13\/20 and r\/(-36) - (-3)\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*t - 1. Let h(z) = z**2 + 3*z + 3. Does 3 divide h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-54)\/8 + (-1)\/(-2) and 83\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1503234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/945*(-3 - (-13)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3)\/o*o)\/o*o**2*(o**(-2\/7))**(1\/2)*((o**(2\/17))**(-3\/7))**(-1\/10) assuming o is positive.\nAnswer: o**(2134\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2315766 divided by -2.\nAnswer: -1157883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*t = 21, -w = 2*w - 5*t - 37. Let y be 89\/3 + w\/27. What is the highest common factor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1363*v**2 + 4*v - 5. Let u be f(-4). Let o = 32096 + u. Suppose -3*x = -2*r - o + 3073, -17990 = 5*r - 5*x. Round r to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.3 + -15. Let u = 0.6 + g. What is the nearest to u in 1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842244919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 6 = 0. Let r = -16 - -15. Is n + 2 + r + 107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4ab1 + 75?\nAnswer: -4a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15728 - 15728. What is the closest to 0 in 4, 1064, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11868830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*-1*-5)\/(sqrt(245)*-1*4) + -1.\nAnswer: -15*sqrt(3)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (2 - 14) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z**2 + 86*z**2 + 49*z**2.\nAnswer: 169*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j + 3*n - 11, -4*n - 28 = 4*j. What is the nearest to -4\/7 in 3, j, 0.04, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 699, 763, 811, 837, 835, 799, 723?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 48*u + 1. Let i be n(1). Let s = i - -11. Let t be 1*(-30)\/(-75) - (-178)\/5. Calculate the highest common divisor of s and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - n = 14, 26 = -a + 5*a - 5*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 26*g + 1\/60*g**6 - 3*g**2 + 0 - 1\/10*g**5 + 1\/6*g**4 + 0*g**3. Let l(q) be the first derivative of f(q). Factor l(m).\nAnswer: 2*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + -1 - -19) + -13 + 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51956 - -91295. List the prime factors of p.\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3207.\nAnswer: -1\/3207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.1 (b) 0.03 (c) 34.7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 6*i**2 - 4*i - 3. Let y be k(5). Let j(w) = -4*w + 2. Give j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4849 is divided by 1572.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*l - 346*l + 23*l + 1 + 2 to the form j + u*l and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 4. Let a be c(-6). Suppose -4*j + 59 = d, -j - 6 = 4*d - 32. Suppose -2*k = 2*h - j, -13 = h - a*h + 5*k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9129926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let u(j) be the third derivative of -j**8\/10080 + j**5\/30 - 3*j**2. Let o(x) be the third derivative of u(x). Calculate o(k(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + (sqrt(200) - (sqrt(200) + 1*sqrt(200)*-2)))\/(sqrt(400)\/sqrt(2) - sqrt(8)))\/((sqrt(80) + (-3*sqrt(80) - sqrt(80)))*-1*6).\nAnswer: sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66543984 and 61776?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2393765*y**2 - 11632*y + 8?\nAnswer: 4787530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/20)\/((-12)\/28*14\/20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 2*c = 26, 0 = 2*b + 4*c - 22. What is the second derivative of -10*d**4 + 7*d + 9*d**4 - 22*d**b + d**4 wrt d?\nAnswer: -440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.1, -4279, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*a + 160 - 15*a - 159 - 40*a - 60*a.\nAnswer: -191*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 + 4*p - 3. Calculate the least common multiple of x(2) and (110\/(-22))\/(10\/(-4)) + 19.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/28 + (-9)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803731243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Let z(o) = -2*o. Let w be z(-2). What is the third derivative of -w*p**2 - 3*p**6 - b*p**6 + 6*p**6 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200863, -200864, -200865, -200866?\nAnswer: -200867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1198*k**6 - 1116*k**6 + 2*k - 2*k - 1065*k**2 + 722*k**6 wrt k.\nAnswer: -191040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4048189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let l(y) = 12*y + 7. Let t be l(0). Let k(n) = -12*n**2 - 2*n - 14. Let u(o) = -6*o**2 - o - 6. Let a(d) = t*u(d) - 3*k(d). Give i(a(p)).\nAnswer: 36*p**4 + 12*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.3 times -0.5531?\nAnswer: -87.55573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2\/53, -93?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + 4 - 4 + (d - 2*d + 2*d)*(-3 + 2*d + 3) + 31*d - 31*d + 18*d**2 + 4*d**2 - 2*d**2 - 4*d**2.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let p = k + -2. Let o = 5.9 + 0.1. Is o less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -2\/9, -2\/13, 4, 334, 3 in decreasing order.\nAnswer: 334, 4, 3, 0.08, -2\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.153, -8, -1\/8 in descending order.\nAnswer: 0.153, -1\/8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 5:18 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*h**2*r - h*r**2*y**2 - 12*h*y**3 + 584*r**2*y**3 - 3*r*y**3 with respect to h.\nAnswer: 32*h*r - r**2*y**2 - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35133 + -21124. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -3 + 24\/4. Suppose 198 = 5*p + 5*i - 147, o*p - i - 191 = 0. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:27 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55245 (base 11) to base 10.\nAnswer: 80151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l + 0 + 0*l**3 + 0*l**2 - 1\/20*l**5 + 1\/12*l**4. What is the third derivative of h(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 39. Suppose 0 = -0*l + l - a. Let h(p) = -31*p**2 + l*p**2 + 14*p**2. Let k(z) = 2*z. Calculate h(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -17. Let t = -13316 + 13320. Suppose -u + 5*y = 4, -y + f = t*y. Sort -1\/7, 0.1, u, -1\/4 in ascending order.\nAnswer: -1\/4, -1\/7, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90881293 to the power of 1\/2, to the nearest integer?\nAnswer: 9533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31498336 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-24)\/45)*(-45 + 7). Let s = h - -1384. List the prime factors of s.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 830.442 centimeters?\nAnswer: 8304.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/(-4) + (-10)\/40)\/(61 + -1). Which is the smallest value? (a) f (b) -3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*m*q**2 + 8*f*m*q - 3*f*q**2 - 2*f + 2459*m*q**2 - 390*q**2 - 17 wrt m?\nAnswer: -2*f*q**2 + 8*f*q + 2459*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m = 185*m - 27*m + 75 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 260521 - 117864. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*t + 5590 + 1877 = 0 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, 75, -19, -2\/9, -4, -3 in ascending order.\nAnswer: -19, -4, -3, -0.24, -2\/9, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d - 110. Let c be w(-10). Solve 4*y = -0*y + 5*q - 5, -2*y - q + 15 = c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9967.\nAnswer: 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -546*a + 117?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*g + 787 = 3184 + 5496 + 6507 for g.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/3)\/(-3) + 0. Suppose 4*s - 679996 = -i, -y*s + 680020 = 2*s - 5*i. What is s rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.312 or 0.11?\nAnswer: 1.312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = 14. Suppose 0 = -b + 2*b + s. Let t = -773\/5 - -154. Is b at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217260425.\nAnswer: 3, 5, 433, 37483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 298 - -22. Suppose a - 338 = -i, -3*a - s = -2*i + 336. Let g = 476 - i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 + 4. Let d(y) = y**3 + 5*y**2 - 3. Let n = 4 + -2. Suppose 2*u - 20 = -n*u. Let c be (-20)\/(16\/(-4)) - -1. Calculate c*d(p) + u*z(p).\nAnswer: p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -194.903 + 15.538. Let t = 179 + b. Round t to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**5)\/f**(-1\/2))**(8\/11) assuming f is positive.\nAnswer: f**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29)\/(-3) - 16\/24. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -2\/11 (c) 0 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/k**(-1))\/k)\/k*k)**(11\/5)*k\/(k*k**(2\/25))*k**(-5)*k assuming k is positive.\nAnswer: k**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 6 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 29. Determine q(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 89 - 10*w**2 + 40 + 27 + 22.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 450867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 4955*c**3 + 46127430*c**2.\nAnswer: -5*c**2*(c - 3573)*(c + 2582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 1:04 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129813\/10 + 12971. Let z = -9\/5 - d. Let f = 32132 + -32123. Is f >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550592 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a8 + -11453?\nAnswer: -1173b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 0, 2898 = 3*s - 2*s - o. Calculate the lowest common multiple of s and 1932.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 3:56 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/98 + (-55)\/1925.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358.9 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188758291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.8 + -7.8. Let s = t + -7. Sort 3\/2, s, -1, 4\/5 in increasing order.\nAnswer: -1, s, 4\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 142. Let o = l - 62. Let u = 111 - o. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + 1677\/(-91))\/((-4)\/(-14) - 1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 g when four letters picked without replacement from mgzfmggfgzfmfmfgdfm?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**5 - 5*x**4\/4 - 40*x**3\/3 + 10*x**2 + 66. Let m(a) = 0. Calculate a.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -16, -36, -64, -100, -144, -196?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3*(-3)\/36). Calculate the common denominator of -55\/16 and 925\/230 - (-20)\/j.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303867656 a multiple of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x - 19 = -3*m - 71*x, -112 = 14*m + 5*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6918391*z**3 - 7083564*z wrt z?\nAnswer: -41510346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/23 - -77\/115. What is the third smallest value in -0.5, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2189116417 to the nearest integer?\nAnswer: 46788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - q - 18. What is o(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258, 4, -0.06, -1.7, -2\/5, -5 in increasing order.\nAnswer: -5, -1.7, -2\/5, -0.06, 4, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 624041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awkaeuxkkewekkk. Give prob of picking 1 e and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 22. Determine x(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/123 and 115\/10461978.\nAnswer: 428941098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = 3*l. Let a(j) = -j**2 + 1. Let s(q) = q**3 - 8*q**2 - 5*q + 9. Let t(x) = l*a(x) - s(x). Let r be t(3). Sort -3, r, 2 in increasing order.\nAnswer: -3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 986137569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-258 - -210) + (2 + 0 - 0) - (0 - -8).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -16*q + 7. Give m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*i - 20*i + 20*i)*(-3 + 4 + 0) in the form f*i + a and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1000246, 1000249, 1000254, 1000261, 1000270, 1000281, 1000294?\n\"Answer: l**2 + 1000245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 443 - -61. Let m be (4\/h)\/(12\/(-8)). Is 0 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(1 - (-6)\/(-14)). Suppose -u*k - k + 10 = 0. Solve -k*q + 4*x - 3*x + 10 = 0, -6 = 2*q + 3*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*o - 528 = -506, -94*w - 3*o + 461 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3435 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/75*(-15)\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2)\/(12\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 3, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17355742168678 + 12.\nAnswer: 17355742168690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*b, 3*f + 8*b - 5*b = 18. Suppose p = 13*p - 60. Suppose p*j - 216 = -f*j. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - 86*h**2 + 388*h - 490. Let i(o) = 2*o**2 - o. Suppose -7*r + 132 = 125. Let j(u) = r*b(u) + 3*i(u). Factor j(t).\nAnswer: 5*(t - 7)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330*s - 13126 = 33039 + 13685 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -216*u - 12628. Determine q(-58).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than 2221839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.79018 rounded to 1 dp?\nAnswer: 410.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6144 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230147 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23923 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 f when four letters picked without replacement from {p: 5, f: 6, k: 1, i: 7}?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 42 (b) -1\/7 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(29\/(-87)*12\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v - 108*v - 750 = 11*v. Sort -3\/2, 0.2, 82, v in ascending order.\nAnswer: v, -3\/2, 0.2, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 47110*t + 6856721. Calculate m(-146).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**4 + g**4 - 3*g**4)*(-2 - 3 - 4)*(3 + 1 - 6) in the form w*g**2 + a*g**3 + s*g + b + m*g**4 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99661 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 25012*y**3 - 175072*y**2 + 149988*y + 72 = 0.\nAnswer: -3\/6253, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from nnwnnnnnngnnwn?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*t - l**2 - 1653*l + 7884*t with respect to t.\nAnswer: 2*l**2 + 7884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 1313739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 369*w + 3*w**2 + 72 - 2*w**2 - 369*w in the form a*w**2 + b*w + v and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t - 214 = 2*m, 5*m = 4*t - 211. Suppose 11*r - t = 8*r. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 332. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 22*u**2 + 2*u - 1. Give i(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5\/7 - 4*y**4\/7 + 4*y**3\/7 + 4*y**2\/7.\nAnswer: -4*y**2*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:44 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 3*g**2 - 10*g - 8. Give q(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*q = 15 + 4, 0 = 4*h + 4*q + 72. Which is smaller: h or -12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let w(f) = f**2 + 5*f - 7. Let p be w(-6). Let u(c) be the first derivative of -2*c**2 + 4*c - 60. Let j(x) = p*u(x) - 6*n(x). Calculate j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 540, 2290, 5258, 9444, 14848, 21470?\n\"Answer: 609*s**2 - 77*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5 + b**2 + 4 + b - 3. Let m be s(-6). Suppose -2*d = -2*j + m, 4*j - 55 = 2*d + d. Which is smaller: 15 or j?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(475)*1 - sqrt(475)) + 0 - sqrt(475)) + (sqrt(475) - (2 + -1*sqrt(475))) + -5)*-4 + 0)**2.\nAnswer: -1120*sqrt(19) + 8384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-1 - (-2)\/4). Let a(t) = t + 1. Let c(o) = -7*o - 8. Let f = 7 - 13. What is f*a(n) + j*c(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276763 take away -6657?\nAnswer: -1270106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/40 - n**5\/12 + n**4\/24 - 2*n**3\/3 + 8*n**2 - 3*n. What are the prime factors of a(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d**3 + d**2 + 2*d + 1. Let n be w(-1). Let t = 84 - n. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -930, -1849, -2780, -3729, -4702, -5705, -6744, -7825?\nAnswer: -8954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 8*w + 4*w - w - 1 + 1 + (0*w - w - w)*(-1 + 0 + 2) + w + 3 - 3 - 3*w + 0 + 0 to the form t + g*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5945700 rounded to the nearest 10000?\nAnswer: 5950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3814, 14598, 32566, 57712, 90030, 129514, 176158?\nAnswer: 229956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -5*y - 3. What is the remainder when y is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -33*g**3 - 34*g - 2. Let d(h) = -2*h - 61. Let t be d(-31). Let n(u) = u**3. Let q(f) = t*z(f) + 6*n(f). Find the second derivative of q(m) wrt m.\nAnswer: -162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.65576 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5 - 2*w**4 + 3*w**3 + 4*w**2 - 4*w = 0. Calculate w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 384*y + 12288.\nAnswer: 3*(y - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 23*f - 42. Let x(b) = 3*b + f + 30*b**2 - 4*b - 26*b**2 - 5*b. Suppose -7*j = -0*j + 7. Let v(k) = -k + 1. Determine j*x(o) + 6*v(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 219*x**3 + 4344*x**3 - 23.\nAnswer: 4125*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 61. Determine u(0).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.696 - 2.308. Let w = 0.004 + u. Let l = w - -54. Which is the nearest to -0.1? (a) 2\/19 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/21289951 and 11\/181810.\nAnswer: 212899510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*2*(-13)\/(-65).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 8*g**2 + 10*g + 17. Calculate a(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5559*h + 82792. What is v(16)?\nAnswer: -6152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*s - 3*s + 50 = 0, s = 0. Factor -3*z**5 - 2*z**3 + 18*z**4 - 6*z**4 - c*z**3.\nAnswer: -3*z**3*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3, -0.49, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18835624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:33 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:29 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4478 (base 12) to base 5.\nAnswer: -220310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3189912, -6379793, -9569674, -12759555?\n\"Answer: -3189881*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-1)\/(-1)*315\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d9 (base 16) in base 15?\nAnswer: 69c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 0.2 (c) 4\/3 (d) -0.101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18206.\nAnswer: 2, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 351121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5790261*w**2 + 8 - 5790273*w**2 + 11580525*w**2.\nAnswer: -9*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*y = -2*y + 271870, -4*p + 271880 = 2*y. Let t = -301488 + 205457. Let u = t - p. What is u rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Let w(q) = 7*q + 372. Determine 6*n(h) + w(h).\nAnswer: h + 378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1489*n - 38 - 42 + 129 - 50 as h + l*n and give l.\nAnswer: -1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 1, n: 1, p: 2, o: 2, d: 1}. What is prob of sequence pqd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 15*h - 14. Let c be g(16). Suppose -u + c*u = 2. Factor 2\/5*y**4 + 0*y - 2\/5*y**3 - 4\/5*y**u + 0.\nAnswer: 2*y**2*(y - 2)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1105341545 - 10?\nAnswer: -1105341555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052*r - 135*r**3 - 135*r**3 + 489*r**3 - 85*r**3 - 136*r**3.\nAnswer: -2*r**3 + 1052*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52932993\/436 - 121406. What is the common denominator of k and 119\/12?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)*y)**(-2\/3)\/(y**(-5)\/y**(-4)))**(-22\/5) assuming y is positive.\nAnswer: y**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4\/2 - 455*s**3\/2 + 9085*s**2\/2 + 60455*s\/2 - 34545 = 0. What is s?\nAnswer: -6, 1, 47, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35970*t**5 + t**4 + 302*t**3 + t**2 + 5115121*t - 4 wrt t?\nAnswer: 2158200*t**2 + 24*t + 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/32*12 + 949. Let x = g - 169. What are the prime factors of x?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8402?\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooooooooooooooofo?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2. Let v(x) = -x - 101. Determine v(l(k)).\nAnswer: -2*k**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11137\/16 - -698. Calculate the common denominator of (-1)\/8*(-6)\/(-8) and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.9 + 2.9. Put y, 3\/5, 0.05 in increasing order.\nAnswer: y, 0.05, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-80)\/25 - -3 - 51\/(-5). Let t(d) = 4*d**3 - 3*d**2 - 3. Let k(n) = 12*n**3 - 10*n**2 - 10. What is w*t(p) - 3*k(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 - (-455)\/2548?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 18*c = -66*c + 21420. What is the greatest common divisor of 4635 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v - 3429 + 5265 = 0 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + 11*t + 9. Calculate h(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*c - 10 = 0, 5*j - c - c - 1 = 0. Suppose -2 = -2*n + 2. Solve -r - n = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2291301 + -552080. Suppose 0 = 8*o + m + 243060779. What is o rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2244527 and 4845.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 166. Let v be p(26). Suppose 43 = 3*x - 2*q, 5*q + 18 = -x + 4. Calculate the greatest common factor of v and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:31 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 81 = -18*a - a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 - 35*v**2 - 1\/160*v**5 - 5\/8*v**3 + 7\/64*v**4 + 0*v. Find a such that j(a) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2. Let g be 3\/(2\/((-30)\/(-9))). Let q(a) = 5 + 2*a - g. Give l(q(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 13*y**3 + 0*y**3.\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/36459889 and 41\/7.\nAnswer: 255219223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -3\/2, 2\/13, 1375, 4, 0.\nAnswer: -3\/2, -4\/7, 0, 2\/13, 4, 1375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 19*i**2 - 8*i + 141. What is j(19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -77, -149, -221, -293?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1 (c) 4 (d) -1044.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, -25, -3, -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than -8320\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/7 + 90*o**4\/7 + 178*o**3\/7 - 3498*o**2\/7 - 2412*o - 3024 = 0?\nAnswer: -42, -4, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.5. Suppose 115 = 2*b + 3*b. Let r = -70\/3 + b. What is the nearest to r in -5, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3764 and 47991.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303729 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 5:18 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6)\/((-2)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -0.1, -1238?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -5)*10\/6. Suppose z*o = 12 + 38. What is the third derivative of o*u**3 + 7*u**2 - 3*u**3 + 3*u**3 wrt u?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/140280 and 67\/264?\nAnswer: 1543080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 11*g**4\/24 + 7*g**2 - 23. Let j(z) be the second derivative of u(z). Let w(v) = -4*v. Determine w(j(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 12) to base 8\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 356*h**4 + 5490*h**3 + 27700*h**2 + 46375*h.\nAnswer: -h*(h - 371)*(h + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 952 and 14848?\nAnswer: 1766912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1184, 1241, 168, -2035?\nAnswer: -5368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 5*s, -6*s - 4 = -3*x - s. Suppose -5*j = x*j - 64. Solve 3*t = -b + 1, -3*t + j*t = 3*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -104, -186, -288, -410, -552, -714?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y = 64*y - 6732. Is y a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*a**2*j*u - 2*a**2*u**3 - 12*j*u**3 + 2*j*u**2 + 5*j*u - u**2 wrt u.\nAnswer: -12*a**2*u - 72*j*u + 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29040 and 19965.\nAnswer: 319440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 10*m**2 + 9*m - 2. Let w be n(9). Let z = -3 - w. Let j(k) be the third derivative of -k**4\/12 + k**3\/6 + 4*k**2. Determine j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1044 and 1106?\nAnswer: -1154664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/14)\/((-420)\/(-147) + -3). Suppose 2*d - 6 = -4*d. Sort d, 0, x in descending order.\nAnswer: x, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*m - 33*m - m)*(1 + 1 + 0) - 60*m + 543 - 543.\nAnswer: -204*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 3. Suppose 0 = -2*i + i + 3. Let w be q(i). Let x = w - 6. Calculate the least common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -47. Suppose 0 = -7*y + l + 202. Let k = y - 48. Do k and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156 divided by -289.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*k - 4*x, 0 = -2*x - 0 - 6. Let w(m) = m + 5. Let i be w(5). Suppose 5*v = i*v - k. Solve t + v*l = 6, -9 = 2*t - 3*l + 2*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/19395 - -151258\/19395. Factor 3\/5*p**3 + 0 + 42\/5*p**2 + z*p.\nAnswer: 3*p*(p + 1)*(p + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2665 or 2?\nAnswer: -2665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -c38?\nAnswer: c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = -6. Suppose g*o - 33 - 42 = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*z**2 + 2*z**4 + 1786*z - 3564*z + 1778*z + 666 wrt z.\nAnswer: 8*z**3 - 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a + 35*a - 215840 = 33*a. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 4*o - 314, 3*z = 2*o + 431. Let w = z - 98. What is the remainder when w is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4076105 rounded to one dp?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*x = -21*x + 7179 - 8367 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f. Suppose s + 4*w - 32 = -0*s, 0 = 2*w + 4. Suppose -s = -2*m + 28. Calculate the remainder when m is divided by g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 4:47 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*f - 69*f - 1 + 141*f + 0 - f + 0 + (1 + 0 + 0)*(4*f - 3*f - 2*f) + 3*f - 2*f - 3*f.\nAnswer: -9*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9409352074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/(-66)*((-2)\/8 + (-4 - -2)). Let a(y) = -y**2 + 4*y + 1. Let p be a(3). Suppose p*b + 0*b = 12. Solve g*n + 12 + b = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.5315 * 1130.\nAnswer: 7380.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2 - 41*p + 16. Let a be m(8). Solve -v + 2*o = a, -3*v - 2 - 1 = o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117985 and 294770?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -40?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a58 - 50?\nAnswer: 1a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 0 - ((-1140)\/(-36))\/19. Sort -16, 1\/5, w, 2\/41.\nAnswer: -16, 2\/41, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29425 divided by 5885.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa9 - -23b?\nAnswer: ce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*d + 82, 75 = 5*d + 6*l - 3*l. List the prime factors of (-1 - 0) + (d - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 20*o - 153. Calculate p(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -424.24 - 258.4. Let c = o + 704. Let v = c + -22. Round v to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**4 + 6*t**5 - 11*t + 3*t**4 - t**4 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155.11 + 155.91. Which is the closest to t? (a) -0.3 (b) 66 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 0*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113359 = 102*i + 17785. List the prime factors of i.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9885621?\nAnswer: 3, 31, 106297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 76\/5 of a milligram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:57 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*v - 10, -2*v + 6 = -5*v. Let r be (20\/(-35))\/(z\/(-7)). Solve r*d - 4 = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 * -119\nAnswer: 72.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/23 + -377\/92. Let w = 11\/41 + -4169\/410. Find the common denominator of j and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22269835.\nAnswer: 5, 7, 227, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.781 - -28.78087141. What is t rounded to 6 dps?\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136 - 9*d**3 - 146 - 7*d**3 to b*d + s*d**2 + i + u*d**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -157.2, -1, 56, -1\/6, -175?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 13. What is the second smallest value in w, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02032 and 188.\nAnswer: 187.97968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 3 - 29 + 4*t + 2*t.\nAnswer: 2*t - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10184 less than 0?\nAnswer: 10184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -652230+0.352\nAnswer: -652229.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 6. Let r be ((-266)\/(-70))\/(-19) + 322\/10. Suppose -r = -y*o - 120. Calculate the common denominator of -36\/25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = 5*i - 705, 3*b - 423 = -3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c + 2. Let l(o) = 5*o**3 - 15*o + 10. Calculate -l(p) + 6*v(p).\nAnswer: p**3 + 21*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f**2 + 12*f + 12. Let l(a) = -a + 1 + a**2 - 1 - 1. Let i(t) = 12*l(t) + s(t). Let d(y) be the first derivative of y**3 - 1. Give i(d(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/2, -2356, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6 + 0*s**2 + 15*s - 31*s**3 + 32*s**3 + 3*s**2 - 4*s**2. Let w be h(5). Suppose -3*i = -362 - w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -18?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 8*z**3 + 13*z**3 + 2*z**2.\nAnswer: 3*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1169 + 7019. What is a rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855948 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:44 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35637 is divided by 157.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/36 + 1090\/90?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 24. What is l(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 8) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 420 (base 7) to base 9\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.0182289 rounded to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 4*j - 30. Let i(g) = -g**2 - 5*g + 13. Let b be i(j). Sort 0, -13, b in increasing order.\nAnswer: -13, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 181 = 3*g, 0*g - 5*j + 47 = g. Let t = g - 59. List the prime factors of 1\/(t\/(-8)) + 6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1030610*l**4 - 1410129*l**2.\nAnswer: -24734640*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -116167?\nAnswer: 116167.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o - 2. Suppose -27 - 18 = 3*h. Let l = h + 17. Let s be l\/9 - (-64)\/36. Give i(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.53741 times -1961?\nAnswer: -10858.86101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l**3 + 2*l**2 + 6*l - 14. Let s be d(3). Let f = s + -587. Solve 5*w + 14 = y, 5*y - 28 = f*w + 2*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1636228 decades to millennia.\nAnswer: 0.001636228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 10*o**2 + 6*o - 7. Calculate a(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 4*v + 5. Let y be l(2). Let t = y + -14. Suppose -g = t*g - 8. Solve -1 = 4*b - f, 0*b + 5*b + g*f - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let w be (-1 + -2)*(h - -3). Is w\/18 + 67\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*m + 35 + 197. Sort -6, -1, m in decreasing order.\nAnswer: m, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 1. Let c be (-9)\/(-6) + 2\/(-4). Suppose -d + c = 4*q + 10, 2*q = 4*d + 18. Let i(y) = -2*y**2 + 5*y - 5. Determine d*a(k) + i(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + 2*a + 1. Let o(k) = k**2 - 8*k - 7. Let m be o(9). Calculate the lowest common multiple of d(m) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r - 357 + 4757 = 0. Which is greater: r or -402\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 119*n - 14. Let u(l) = 594*l - 72. Let a(w) = -2*u(w) + 11*z(w). List the prime factors of a(4).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296*-3.\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {s: 12, o: 1, g: 7}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**3*y*z + 13*t**3*y - 23465*t**3*z - 3*t**3 - 5289*t**2*z + 2*t**2 - 3*t*y*z + 35*y*z + y wrt t?\nAnswer: -12*y*z + 78*y - 140790*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**7\/28 - w**6\/20 - 3*w**5\/20 - 6*w - 18. Let f(a) be the first derivative of u(a). Factor f(b).\nAnswer: 3*b**3*(b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2084)\/16 - 3\/4. Suppose 22*j - 2261 = 5*j. Let m = h + j. Solve -m*r + 9 = 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -5.35 (c) 0 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1036685037 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31553+229.2\nAnswer: 31782.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112593310 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2244 = -27*r - 1245. What is the remainder when 2019 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4755 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 60*k**2 + 4*k + 177. Give r(-60).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**1*x)*x)**31\/(x**(1\/2))**(1\/3) assuming x is positive.\nAnswer: x**(-187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -70849*a**3 - 21*a**2 - 42*a - 41. Let k(y) = 7085*y**3 + 2*y**2 + 4*y + 4. Give 21*k(h) + 2*q(h).\nAnswer: 7087*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0073039 and 2005.485.\nAnswer: 2005.4776961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/595*5\/3 - (-7749)\/(-459).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 1 (b) 7\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1530 + -11014155?\nAnswer: -11012325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:28 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 12:54 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -62, -13077 in increasing order.\nAnswer: -13077, -62, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 102*l + 216.\nAnswer: -3*(l - 36)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*r - 0*r + 12, -3*r - 15 = 0. Suppose -v = 3*s - 5*v + 4, 0 = 3*s - 3*v + 6. Let h = -4 - s. Solve -5*d + h*l = -l, 3*d = m*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 1 + 1 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2247 + 2284. Solve -3*c = l - 46 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -3, -43, -0.2, -4 in decreasing order.\nAnswer: -2\/13, -0.2, -3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 123, 121, 133, 165, 223, 313, 441?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 5*k**5\/12 + k**2. Let f(r) = -r**2 + r - 3. Let m(h) = 5*h**2 - 4*h + 12. Let x(z) = -4*f(z) - m(z). Give x(p(d)).\nAnswer: -625*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, 7\/5, -4345, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= -203\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13112, 52445, 118000, 209777, 327776, 471997, 642440?\nAnswer: 839105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12281353 divided by -7?\nAnswer: -1754479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(684))**2 - (sqrt(1539) + 3) - -6*(3 + 1*(sqrt(19) - (0 + sqrt(19)))).\nAnswer: -9*sqrt(19) + 6171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 5*u**4 - 6*u**2)*(2*u + 2*u - 2*u) + (2*u**2 - u**4 - 2*u**2)*(2*u + 2 - 2) - u**5 - 8*u**5 + u**5.\nAnswer: -20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*x - 77823 - 444570. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86964175027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.339582km to millimeters.\nAnswer: 5339582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2647562 or -13237811\/5?\nAnswer: -2647562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 25*w**3 + w**2 + 26*w**3.\nAnswer: 48*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*n**3 - 1846*n**3 + 916*n**3.\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486 - 4*d + 248 + 238 + 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26757\/8 - -257000961\/76840. Let d = -259149\/595510 + u. Let a = -92\/145 + 11293\/2030. Find the common denominator of d and a.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6289\/(-247) + 33 + -17 + 10?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94282 is divided by 13466.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 7 + -14 + 3\/52. Let z be (-12)\/(-18) + 37\/(-78). Let q = z + i. What is the nearest to 2\/3 in -1\/5, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 635530 and 25522?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -1\/10*m**6 + 0*m**3 + 6\/5*m**5 - 15\/4*m**4 + 26 + 0*m**2 - 2*m. Factor b(i).\nAnswer: -3*i**2*(i - 5)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)*-1*4. Let j be 45\/12 + (-3)\/(-12). Suppose o + j = -o. Put o, 2, c in decreasing order.\nAnswer: c, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 1 + 29 = 0. Let l(x) be the third derivative of x**6\/120 + x**5\/60 - x**4\/24 - x**3\/3 + x**2. Let n be l(-2). Is n less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 x when four letters picked without replacement from lovxlxxtxoootxxlxt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54, -268, -640, -1170, -1858, -2704?\n\"Answer: -79*r**2 + 23*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - 150\/(-18). Let w be 1\/(3\/x*3). Let l(r) = r**3 - r**2 + r. What is l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvmzvq. Give prob of sequence qf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d**4\/7 + 72132*d**3 - 505297784*d**2\/7 + 18347836932*d + 32140303632\/7 = 0. What is d?\nAnswer: -1\/4, 513, 30532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31467.47 litres to millilitres.\nAnswer: 31467470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1522024 - 0?\nAnswer: 1522024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1825 - 903. What are the prime factors of b?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 4. Suppose 12*w - 54 = 6*w. Let j(f) = 4*f - 33. Let b be j(w). Calculate l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - p + 3. Let r be h(-3). Let i = -5380 - -5391. What are the prime factors of 3 + i\/(-3) + (-920)\/r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 3, j: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-12)*(-3)\/(2 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 + x - 1. Let j be n(3). Suppose 40*p - 153 = 11*p + 20*p. Solve 3*m - p = -j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9254144?\nAnswer: 2, 37, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhghhhrdgggrmrmrggrg. Give prob of picking 1 h, 1 r, and 2 m.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n. Let p(f) = -4235*f**2. Give z(p(i)).\nAnswer: -21175*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 88. Let d be (1*5\/1)\/2. Which is the third smallest value? (a) 0 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -34*y + 52. Let t be q(8). Let w = t - -220. What is the nearest to w in -0.4, 3, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 20*k - 26 + 15*k. Is 2 a factor of w(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(25\/6))\/(38\/380)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:46 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 2407832*y - 362353433764.\nAnswer: -4*(y + 300979)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 331, 332, 333?\n\"Answer: q + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28269 and 159975?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*w + 4 = 0, 4*w + 1 = f - 8. Solve 2*p = u - f, p + 3*u + 21 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/8)*s)\/(s*s*s*s*s**(-4)*s) assuming s is positive.\nAnswer: s**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2188, 2189, 2190, 2191, 2192?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 + 358 = 7*u. Round u to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*m + 123760 = 30*m. Solve -1203*q + m*q = -117 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26835?\nAnswer: 3, 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -134110122344?\nAnswer: 134110122343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 24 = 8*o. Suppose -z + 91 = 5*q - 5*z, 44 = 4*q + 4*z. Let v be (6\/(-1))\/(q\/o). Sort v, 2, 5 in ascending order.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -610449362937 + 610449362874.3999999758. Let d = s + 62.6. Round d to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 98935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 2. Let x(n) = -n**2 + 11*n + 19. Let s be x(13). Give u(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102962385 is divided by 2114?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:41 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1019*x**3*y**5 + 7*x**3*y + 51*y wrt y.\nAnswer: 20380*x**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose -3*d + 427 = -g*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -7\/8 (c) 891\/19 (d) -3\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2236 = -2*o + 4534, -3*p = -o + 5080. Is p > -1694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 - t + 2. Let y(s) = -9*s**2 + 2. Let m(l) = 6*y(l) - 14*z(l). Factor m(h).\nAnswer: 2*(h - 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v + 1. Let u(l) = -l**3 - l**2 - 6*l - 8. Let z(o) = -3*o**3 - 3*o**2 - 11*o - 17. Let s(x) = -5*u(x) + 2*z(x). Give -6*i(b) + s(b).\nAnswer: 5*b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - x + 1)*(-675 + 789 + 1839)*(-4 + 7 + 0) to the form g + i*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(99)*1)\/((sqrt(90)*-1)\/sqrt(10)) - (sqrt(176) + -4 - (sqrt(33)*-2)\/sqrt(3)).\nAnswer: -3*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**4 - 2*w**3)*(-7 + 7 + 2*w)*(-11 + 7 + 10).\nAnswer: -24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 335, 503, 671, 839, 1007?\n\"Answer: 168*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186882713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Suppose 52 = 4*h + 4. Suppose b*m = -4*t + h, -5*m - 2*t - 22 = -5*t. What is m rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 19*c - 77. Let h be v(-8). Solve 3*n + h*n - 14 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13386673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, g: 2, c: 6, v: 1}. Give prob of picking 2 g and 2 w.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-22140)\/(-36))\/(-123)*2\/((-4)\/7)*2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5697\/1266*16\/(-180)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-13)\/(-15) - ((-4711266)\/24570 - -191)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from zzzjaozammaz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a factor of 265184401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2*d + 2. Suppose 3 - 15 = 4*g. Let q be j(g). What are the prime factors of (-62)\/(-8) + q\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 + 27*h - 51. Let r be z(2). Let t(l) be the second derivative of r*l + 0 + 1\/6*l**3 + 5*l**2. Determine t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27818*f**4 - 775*f + 10.\nAnswer: 333816*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -926995.8.\nAnswer: -3707983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3510 and 1404?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -15*s + 4*s + 7*s - 15 - 20*s. Let x(h) = -h - 1. Let p(f) = -f**2 - 12*f + 28. Let k be p(-13). Calculate k*x(b) - w(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -1 (c) 0.07 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 + 0*h**2 + h**4 - 3*h**3 - 6*h**2 + 3 - 2*h**2 as x + u*h + z*h**3 + t*h**2 + d*h**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.9 and -0.0574?\nAnswer: -1.02746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -163, -335, -587, -925, -1355, -1883, -2515?\n\"Answer: -m**3 - 31*m**2 + 2*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*s + 1516 - 1401, 5*c = 2*s - 55 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7 + 29*z + 55*z + 13*z - 95*z. Let t(w) = 2*w - 6. Let p(b) = -b + 4. Let o be p(4). Let v be 10\/(-4)*(-2 + o). Determine v*t(j) - 4*u(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(10\/(-8)*90\/(-25))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 68 + 29 + 105*l**2 + 1299*l**2.\nAnswer: 1404*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -591237130 to the nearest ten thousand.\nAnswer: -591240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 33. What is the smallest common multiple of 8 and 2 - (16\/o + -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -267407787?\nAnswer: 267407784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 2*c - 1044. Let a be n(0). Let d = -193 - a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -154, -142, 1, -0.96?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 8. Let i be n(-5). Suppose 0*h + h + i*s = 78, -4*h - 3*s + 348 = 0. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 54, -1, 7, 1 in descending order.\nAnswer: 54, 7, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -67*t - 8. Let o be (51\/(-45)*-3)\/((-2)\/(-10)). Suppose 0 = -5*c - 5*h - o - 8, -c + 3*h = -3. Is 13 a factor of q(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28914832853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1015510 - -4?\nAnswer: -1015506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 + 8*s + 138. Let w(d) = 9*d**2 - 10*d - 152. Let n(c) = -10*r(c) - 9*w(c). Let g be ((-8)\/5)\/(1\/(-5)). Give n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 154 = 3*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 12. Let h(r) = 215*r - 97*r - 23 - 116*r. Give -6*h(n) - 13*q(n).\nAnswer: n - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 11*m**2 + 7*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 + -87289.\nAnswer: -86899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 862*p**3 - 2522*p**3 + 839*p**3 + 841*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2471 - -2483. What is the second biggest value in m, -50, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 4765, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12082267.\nAnswer: 1931, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -5*b**3\/6 - 3*b + 25. Let g(d) = 14*d. Give 4*g(k) + 14*j(k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 4, 8, -1 in ascending order.\nAnswer: -1, 4, 8, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/60 and -43\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**27)**12 assuming y is positive.\nAnswer: y**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.160923668 rounded to five dps?\nAnswer: -0.16092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-6) - 4\/1)\/(-25)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 13. Let d be m(-10). Let b be (-1)\/(-7) + 8\/(-56). Suppose -o + 3*t + 17 = b, 2*o + 5*t + 0*t = -21. Solve -o*h = h - d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1797)\/504 + (-8)\/56 and -17\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - ((sqrt(110) - sqrt(110)*-1)*4 + sqrt(110)))*2)\/(sqrt(490) - 1*-1*sqrt(490)).\nAnswer: -8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 5*t - 19. Let a be n(-6). Let h = a - 49. Is 14 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnll when four letters picked without replacement from {n: 6, l: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -31*m + 6261. Give h(188).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/18)\/(2\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/48 or -1\/10?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -855043 (base 12) to base 11.\nAnswer: -1207043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 606.4528 millimeters?\nAnswer: 0.6064528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24319719422809\/38040 - 13192478972\/951. Let c = a + 653156172. Let p = -35691 - c. Calculate the common denominator of p and -19\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 4*b + 0*b)*(5*b**2 - 2*b**2 - b**2)*(2 - 2 - 2*b**2) + (-4*b**3 + 4*b**3 + 3*b**4)*(4*b + 3*b + 0*b).\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 44. Let y = 6 + l. Let w be y + 0\/(-1 - -5). Solve -2 = -c + w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76698553.\nAnswer: 76698553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13580895.\nAnswer: 3, 5, 709, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/8)*i**(-2\/5))**47\/((i*i**(1\/3))**(1\/4))**(-20) assuming i is positive.\nAnswer: i**(-2161\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*t - 189000, -2*t + 126000 = -z - 2*z. What is t rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/33*206\/(-206)*-77?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -155*z**3 + 40 + 78*z**3 + 78*z**3 + 0*z - 21*z**2 + 18*z. Let i be b(20). Solve -4*s + i*s = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -87, -31, -2\/5, 5 in descending order.\nAnswer: 5, -2\/5, -4, -31, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - 8) + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7732089092 to the power of 1\/3, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 24. Calculate d(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203616 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 22 - 52)*(-2*m + 6*m - 2*m) in the form a + k*m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:24 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -226*m + 225*m. Suppose 0 = -y - g + 6, 3*y + 3*g = m*y - 52. Calculate the remainder when 27 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11883421, 23766763, 35650093, 47533405, 59416693, 71299951, 83183173, 95066353?\n\"Answer: -t**3 + 11883349*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = 5*h - 121, 5*j = 2*h - 22. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(60)\/sqrt(4)*-5)\/(sqrt(245) - sqrt(245)*-4 - sqrt(245)).\nAnswer: -15*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-1235)*225\/(-240)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*220\/(-34155)*1*3\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 13. Let h be m(6). Suppose -h*w + w = -56. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-32)*10\/45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2. Let v be l(3). Let j be 2\/6 - (-468)\/(-27). Let w = j + v. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -5. Let n(b) be the first derivative of -11*b**2\/2 + 3*b + 1. Is 12 a factor of n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(sqrt(300) + -3) + sqrt(300) + 3 + -3 + -1))**2.\nAnswer: -2500*sqrt(3) + 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*y - 372, y - 2*u + 3*u - 189 = 0. Suppose 0 = -195*d + y*d - 184. Is d less than or equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - 5) + 5 - 1) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.2849g to micrograms.\nAnswer: 281284900","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 13 = -5*x, -3*k - 4 + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38363 take away 1?\nAnswer: -38364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r - r - 3*r + (1 + 1 - 3)*(-1 + 2*r + 1) - r - 3*r + 3*r - 3*r + 6*r - r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2069 + -2065. Solve 0 = -2*m + i - 1, 0*i + n*i - 16 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 18248*r\/3 + 36472.\nAnswer: 2*(r + 6)*(r + 9118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.267862 times 0.11?\nAnswer: 0.24946482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5915 + 335 = -18*q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12104*t**3 - 130467?\nAnswer: 36312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/72)\/((11 + -3)*6\/72).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 32*k - 247. Let n be g(13). Determine a so that 2\/5*a**3 + 2\/5*a**5 + 0*a + 0*a**2 + n - 4\/5*a**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*(11 - 2). Let p be 1\/(-3) + m\/(-9). Suppose -1 + p = -o. Solve -2*a = -3*a + o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4837611204?\nAnswer: 2, 3, 19, 7072531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-140)\/42 - (-33)\/63. What is the smallest value in 0.24, d, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(8\/(-28))\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5559 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*n + 276 + 130. Calculate the least common multiple of 495 and n.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 + 4*k**2 + 3*k + 1. Let w(l) = -l**3 - l**2. Let h(y) = -p(y) - 5*w(y). Calculate h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90388215 and 15.\nAnswer: 90388215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20101312323 (base 4) to base 9.\nAnswer: -4067073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.186 - -0.41. Let y = 0.056 - a. Let z = -0.09 + y. What is z rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/120)\/((-4)\/20) - (-21742)\/(-8). Is q bigger than -2715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 + 2*k - 18. Calculate the remainder when 356 is divided by o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 10564484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58818278?\nAnswer: 2, 97, 303187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - o**2 + 22 + 0 - 8. Let m be v(-9). What is the least common multiple of (m\/(-6))\/(2\/3) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/(-1 + (-411)\/(-408)) + 8?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8483 + -8480. Let l(z) be the second derivative of 7*z**4\/12 + z**3\/3 - z**2\/2 + z. Let u be l(1). Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6682 is divided by 933.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.006 - -66. Let p = 0.006 + u. What is the third smallest value in -4, 0.2, p, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5*9\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-5) + (-2)\/(-5). Suppose 2*m = 4*m - p*o - 10, 4 = 5*m + 3*o. Suppose -32 = -m*j + 64. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164 divided by 194.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 4*c - 162. Let u = -6 - c. Which is bigger: 22 or u?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*-2*sqrt(110)\/sqrt(2))\/(sqrt(200)\/sqrt(10) - -5*sqrt(125)).\nAnswer: 8*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*l - 8. Suppose -4*i = 0, -9*i = 4*j - 14*i - 460. Let r be 2\/l - j\/(-15). Solve -2*v + 5*f = -16, 3*v - r = -0*v - f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 888, 920, 998, 1146, 1388, 1748?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11231 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33341 times 0.3382?\nAnswer: -11275.9262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-6)*(9 - 6). Let g = 45 + -31. What is the greatest common factor of g and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:40 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 3*x - 7*x = x - 190, 6*v + 125 = 5*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 110?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 3*s + 31*s**2 - 44\/3*s**3 + 6. What is the derivative of a(v) wrt v?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 29466 + 37224. What are the prime factors of r?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from bxxdiaf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from qqqqququuuuuuuuqqqq.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 10 = t, -2*t = i - 2*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/2 - ((-4)\/(-2) - 4). Let b = -21 - k. Let q(r) = r**3 - 5*r**2 + 2. Let m be q(b). Solve 7 + 3 = o - m*g, o - 3*g - 13 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 3*d, 7*s - 3*s + 4*d - 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3 - 47*i**2 + 7 as v*i + m + x*i**2 and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from ppppkkpkxkkppkppkkkk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2526*h**3 + 672*h**3 - 8*h - 1461*h**3 + 13*h - 5*h.\nAnswer: -3315*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 746)*10\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100464 and 896?\nAnswer: 803712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3 - -188953.\nAnswer: 188950.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 18d4f97?\nAnswer: -18d4f9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**3 - 10*g**2 + 2*g + 1. Let j = 486 + -484. Calculate z(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -8, 1\/5, -0.8, 3, 9 in increasing order.\nAnswer: -8, -7, -0.8, 1\/5, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*q**5 - 1523*q**4 + 228*q**3 - 7703*q**2 + 19759*q + 1.\nAnswer: -720*q**2 - 36552*q + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 12. Let n be c(0). Let d = n - -26. What is the greatest common divisor of 21 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/2)\/3*((-1634)\/7)\/(-43)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001092980487 to six dps.\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000667 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97359 less than 778875\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74, 73, 72, 71, 70?\n\"Answer: -z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muzxzmmmmmx. Give prob of picking 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from ooooyoooooooooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9729 and 14270751.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2008 + 1.26. What is h rounded to 3 decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34845144 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 2*x - 353. Let s be v(-20). Sort s, 12, 0.\nAnswer: 0, s, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 177 in descending order.\nAnswer: 177, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -0.03 (c) -1\/6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 - 118. Let f be 962\/3318 - (-8)\/r. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29229*c**2 - 29218*c**2 + 4 - 7 to g + l*c**2 + h*c and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a factor of 16071307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from {d: 9, p: 2, y: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3 + 11*o + 5*o + 13*o - 30*o. Let j be h(1). Calculate the greatest common factor of j and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/((-854)\/(-212) - 4). Suppose u*q = 58*q - 655. Suppose -2*s - q = -i, 2*i - 7*i + 4*s = -625. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -21. Let i(t) = -2*t**2 + 14*t**3 - t**3 + 9*t**2 - 7*t. Let j(y) = 9*y**3 + 5*y**2 - 5*y. Determine x*i(w) - 7*j(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586166105?\nAnswer: 3, 5, 47, 83, 27107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 105*s**2 - 16*s**4 - 1\/30*s**6 + 192*s**3 + 0*s - 22\/15*s**5 + 0. Factor f(l).\nAnswer: -4*(l - 2)*(l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 5, g: 6, h: 3, p: 3, n: 1}. Give prob of picking 1 p and 1 h.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30635 (base 7) to base 9.\nAnswer: 11278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13255 is divided by 878.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, -14 in decreasing order.\nAnswer: -4, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n*n**(-1)*(n\/(n*n\/(n\/n**(-12))))\/n**(2\/25))**23 assuming n is positive.\nAnswer: n**(14283\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -0.2288?\nAnswer: 2.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4*l + 2*g**4 + 150*g*l + 8*l - 16 wrt g?\nAnswer: 8*g**3*l + 8*g**3 + 150*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:46 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115373 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: b\"What is the xth term of 8, -3, -40, -115, -240, -427, -688?\n\"Answer: -2*x**3 - x**2 + 6*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*q + 2, 3*n - 6 = -4*q + 19. Suppose -4*c - 3*x = -c - 114, n*c + x = 104. Suppose 0 = 2*y - c - 51. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*p**2 - 1 + 0*p + 5*p**2 + 0*p + (13*p + 5*p - 6*p)*(35*p - 13*p + 36*p).\nAnswer: 699*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 228, 0 in ascending order.\nAnswer: -12, 0, 3, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/8 (b) 7 (c) -1\/5 (d) -12 (e) -33\/7 (f) -2 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p - 7. Suppose -7*o = -3*o - 40. Suppose o = -31*g + 29*g. Let c = g + -2. Give t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 20. Suppose -h + 6 + 0 = -n*y, -2*y = 3*h + 6. Suppose 2*s + h*s + 885 = 3*u, -u + 5*s = -308. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/(14615\/(-1554)))\/(60\/(-500))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28294098 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1989 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + u**2 + 34*u - 82. Let c = 0 + 0. Calculate the smallest common multiple of 6 and h(c).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -z + 49. Which is the closest to z? (a) -5 (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 5*c + 2. Let a be q(-5). Suppose a*f = -2 + 12. Solve f*z = z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*a - 2*d, 64 = 5*a - d - 36. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126179, 252834, 379481, 506120?\nAnswer: 632751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12035 - -14701. Calculate the highest common divisor of 860 and k.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1660 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 7. Let j be s(-3). Which is greater: j or -14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 5 + 5)*(-201*m + 93*m - 17840*m**2 + 108*m).\nAnswer: 17840*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 431644 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 419 and 861?\nAnswer: 360759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*r + 750 + 1840 = 0, 0 = -w - 3*r + 872. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5322, 7626, 6898, 3138, -3654, -13478?\nAnswer: -26334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 4, y: 1, c: 1}. What is prob of sequence gc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6029 and 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.1349117 rounded to 2 dps?\nAnswer: 320.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59186?\nAnswer: 2, 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165679 is divided by 3255?\nAnswer: 2929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k**2 - 4345*k + 2170 = 0. Calculate k.\nAnswer: 1\/2, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (313 + 21208)*(4 - 2).\nAnswer: 2, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1084880 by -4.\nAnswer: 271220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 5628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12202340.\nAnswer: 2, 5, 79, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by 6\nAnswer: -223\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -0.2 (b) 5 (c) -1342 (d) -4 (e) -2\/11 (f) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17021203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-42)\/(-35))\/(3\/40) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(2*a - 5*a + 0*a) - a + 3*a - 3*a + 2 + (-1 + 0 - 1)*(5*a + 4*a - 2*a).\nAnswer: -21*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -38.6. What is the smallest value in 3, 0, r, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2309 - -2388. Let d = -55 + 91. Find the first derivative of 31*f + 20 - o*f + d*f wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkmk when four letters picked without replacement from mkkkmk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foo when three letters picked without replacement from ffofoooooooofo?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -221?\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56912, -113826, -170740, -227654?\nAnswer: -284568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174124008.7613 - 176706545.75. Let q = w - -2582323. Let f = q - -214. What is f rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 80*k - 28. Give s(-23).\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 252 in -1, -5, 3, 7, -4, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = -5*t - 2, 5*t + 10 = -i. Let y be 6 + -2 + 43\/(-14) + i. Let f = y + -5\/14. Which is the nearest to 1\/2? (a) -3 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)*v**(-5)*(((v**4*v)\/v*v*v)\/v*v*v)\/(v**(3\/5)\/v*v)*(v**(-1)\/v)**(-10)\/(v**(-3)*v**7) assuming v is positive.\nAnswer: v**(614\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 9457 + 201 = 0. Suppose -b - 4918 = -10*m. Is 50 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00234444855 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 + 3.1?\nAnswer: 179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:56 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose t*k + i - 36 = 0, -k = -3*i + 5*i - 9. Let f(y) = -y**3 + 10*y**2 - 7*y - 6. List the prime factors of f(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.303, -2658 in descending order.\nAnswer: 3, -0.303, -2658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -369 - -1079. Let s(w) = 2 - w + 8*w + q*w**2 - 4*w + 0*w. Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(65)\/sqrt(5) + sqrt(117)\/sqrt(225).\nAnswer: -29*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/240*25\/(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 55. Solve -w = -2*j - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9321 - -12199. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*t - 10957, 5207 = t - 2*r - 267. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/5*(-8)\/(-20)*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19837?\nAnswer: 83, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/80 and -131\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 29*x**2 + 15*x + 4. What is the remainder when 29 is divided by q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -507*l**2 + 5*l + 84. Let p(i) = 509*i**2 - 4*i - 63. Determine 4*p(u) + 3*t(u).\nAnswer: 515*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -281\/405?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 4*t**3.\nAnswer: 4*t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 435 + -439. Put -7, -8, -5, n in ascending order.\nAnswer: -8, -7, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > 37706.78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20478489 is divided by 2925498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 + 5.02. Let q = -4 - -3.5. Let o = 1.5 + q. Which is the nearest to o? (a) 0.5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -27. Solve 2*g - 5*z = -g + 27, -i*g - 5*z - 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = 4*a - 0*k, 0 = -3*a + 3*k. Factor 3*d**5 - 10*d**a + 8*d**4 - 4*d**3 + 0*d**2 - 7*d**5 - d + 2 + 9*d**5.\nAnswer: (d - 1)*(d + 1)**3*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 6, n: 1, f: 3, v: 1}. Give prob of sequence nmm.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssksstsss. Give prob of picking 1 k and 1 s.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + (4 + -8 - (8 + -2)) - 2) + -61?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 198*d - 186. Let s(f) = 98*f - 81. Determine 5*s(y) - 2*z(y).\nAnswer: 94*y - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*m - 2*w + 7*w, -2*m - 2*w - 2 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0, 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -231361*m**4\/30 - 962*m**3\/15 - m**2\/5 + 1083*m. Factor t(f).\nAnswer: -2*(481*f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.601686334 to 4 decimal places.\nAnswer: -0.6017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6532861 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -856\nAnswer: 45\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*a + 650 - 552. Let h(g) = 3*g**2 - 2 - 4*g**2 + g**3 + 1. Let b be h(2). Solve b*j - 1 = a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.87 - 0.6\nAnswer: 21.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -563*k + 3370. Calculate n(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 24*u + 62. Let m be (-4 - 0\/4) + 23. Let z = m + -12. What is the smallest common multiple of z and t(-26)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 555*h. Let s(c) = 13*c**2 - 2*c + 1. Let q(u) = -37*u**2 + 6*u - 3. Let v(i) = -2*q(i) - 6*s(i). Give o(v(p)).\nAnswer: -2220*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-4)\/(-8)*-2. Let o(i) = 7*i + 4. Let g(h) be the third derivative of -h**4\/24 - h**3\/6 + 16*h**2 + 2*h. Give c*o(v) + 6*g(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 - 21*i**2 + 16*i + 12. Let d(y) = 6*y**3 - 43*y**2 + 32*y + 20. Let t(k) = -2*d(k) + 5*z(k). Find c, given that t(c) = 0.\nAnswer: -2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from jjrqrpprpgjgzpq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.049 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17) + -1 + sqrt(17) + sqrt(102)\/sqrt(54))*2.\nAnswer: 8 + 14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 28*a - 26. Give y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*i**4 - 7*d*i**2 - 2*d*i - 66017*i**4 + 2403*i wrt i?\nAnswer: 48*d*i - 1584408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 220?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 382719647467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 10. Suppose 2*o + 7*o - 36 = 0. Put o, q, -3 in increasing order.\nAnswer: -3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 3*t - 3. Calculate the lowest common multiple of 5 and z(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55595 is divided by 2326.\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2317088\/373 bigger than -6211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**2*w + b**2 + b*w + 1159*b + 7*w wrt w.\nAnswer: -8*b**2 + b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let q(a) = -4*a**2 + 2*a - 3. Let v(m) = 8*m**2 - 4*m + 6. Let j(o) = -5*q(o) - 2*v(o). What is j(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 13. Let g = 11 - v. Suppose -15 - 61 = -g*i. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 9:18 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -297\/25, -22, 11\/5 in descending order.\nAnswer: 11\/5, -297\/25, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -9841 (c) 1675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153946 or 9?\nAnswer: -153946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2\/5 - 488526*w\/5 + 195408 = 0?\nAnswer: 2, 162840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 4802061.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 + 189404*c**4 - 2258817832*c**3 + 395420201016*c**2 - 18009885079188*c + 50531846169132 = 0. Calculate c.\nAnswer: 3, 87, 23587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080 and 576?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 10*b**2 + 2. Let a = -20 + 100. Let k be (a\/(-12))\/((-4)\/(-6)). Let n be m(k). Solve -8 = -n*y - 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 107.126. What is p rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14812332 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099220265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -12 + 3. Let d(c) = 5*c**2 - c - 1. Give d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -709 + 706. Sort 5, w, 4, 12 in decreasing order.\nAnswer: 12, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 220.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -78*k**2 + 8 - 436*k + 194*k**2 + 454*k. Let l be u(-9). Suppose -l = 96*c - 98*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/(-532)*(-28)\/116?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 232210141341?\nAnswer: -232210141334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30233 (base 4) in base 5?\nAnswer: 11230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x - 3 + 9*x + 5 - 29*x.\nAnswer: -41*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.45 - 2.35. Let s = 1.1 - h. Let n be ((-2)\/6)\/(-1 + 0). Are n and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 22, 22, 6, -32, -98?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6476 - 5.\nAnswer: -6481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/((-2919)\/1112)*140\/7.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) + sqrt(2000)*2 + sqrt(2000) + sqrt(2000))*6 + sqrt(2000) - sqrt(2000)*2*-4)\/(4*sqrt(10)*-4 + 3*sqrt(490)).\nAnswer: 78*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4087440*q**3 - 300772*q**2 - q.\nAnswer: -24524640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10 + 7 + 0 - 9*a - 1 + a**2. Let u be p(7). Suppose -3*k = -4*k + u*s - 4, -7 = -5*k + s. Solve -4*c + 1 = f, 7*c + 2 = k*f + 2*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - j + 4, -99*z - 79*z + 2*j + 11 = -187*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*b - k = -202*b - 2525, -2*k = -3*b + 7560. List the prime factors of b.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 3)\/6)\/((-1)\/(-20)). Let d be (5 - 8)*g\/(-105). Which is the biggest value? (a) -7 (b) d (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(-4 + 3 + 3)*(3*m + m - 5*m + (3*m + 2*m - 3*m)*(-1 - 1 + 0) - 91*m + 311*m + 136*m) in the form y*m + d and give y.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 - 634 = -7*d. Let v(q) = -d*q + 42*q + 35*q. Let p(z) = 7*z**2. Let r(n) = -8*n**2. Let u(h) = 5*p(h) + 4*r(h). Calculate u(v(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwutttzzzzwz. Give prob of sequence uw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u**2 + 3. Let l be p(1). Calculate the greatest common divisor of 2390 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 + 33*n + n**2 + 6 - 25*n = 0 for n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2661937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2. Let t(x) = x**2 - x - 3. Let d be 6\/(-3)*3\/2. Let v be t(d). Let u(z) = -z - 9 + v. Calculate u(o(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 3*l - 16. Let j(q) be the third derivative of -q**5\/60 - q**4\/8 - q**3\/3 + q**2. Let y(c) be the first derivative of j(c). Determine y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81528 or 81378?\nAnswer: 81528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 4, -5160, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 2\/7, 521.6, 4, -6.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35181 + -2?\nAnswer: -35183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 3. Let n(y) = 3234*y - 8. Give 3*c(t) - n(t).\nAnswer: -3231*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 31. Which is the smallest value? (a) z (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564986.\nAnswer: 2, 282493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.8 + -10.43. Let c = a + -2.07. What is the nearest to 1 in -0.1, 10, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 47. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - ((-1 + (-3 + sqrt(2448) - sqrt(2448)))**2 - sqrt(2448))) + sqrt(2448) - (sqrt(2448) + -1 - sqrt(2448))*6.\nAnswer: -10 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4851 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**1)**(-48))**(2\/75) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5123440 (base 6) to base 7\nAnswer: -2035503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585046 and 99457820?\nAnswer: 99457820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*s + 10. Suppose -5*r + 0*f - f = -465, -4*r + s*f + 372 = 0. Let x = r + -61. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, d: 2, l: 1, c: 2}. Give prob of picking 1 b and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10281, 41040, 92317, 164118, 256449, 369316, 502725?\n\"Answer: d**3 + 10253*d**2 - 7*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/145)\/((-12)\/(-8)*(-8)\/1860)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v + 3. Let y be q(-2). Let h = -14 - y. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-17)\/1)\/((1 - 4) + 2). Let m(o) = -22 - 2*o + 7*o + h. Let q = -3 - 2. Let v(y) = -y**2 + 9*y - 9. Give q*m(i) + 3*v(i).\nAnswer: -3*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16898 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/(-5))\/(-112) + 4114\/28. Which is the nearest to -0.2? (a) 2 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 301, 3.\nAnswer: -5, 3, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 - 5*y**5 - 24*y**5 + (-y**4 + 5*y**4 - 5*y**4)*(2*y + 1 - 1) + 2 - 2 + 2*y**5.\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m - 2. Let q be y(1). Suppose -22 = -2*g - w, -14 = -3*g - q*w + 16. Suppose -r - 3*r + 32 = -c, g = -3*c. Sort 4, 0, r.\nAnswer: 0, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-14) - (7734\/(-378) + 21).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -103*r**8\/336 - r**5\/60 + 5*r**3\/6 - 37*r**2. What is the third derivative of w(m) wrt m?\nAnswer: -6180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00078786 to 6 dps.\nAnswer: -0.000788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 528, 798, 1070, 1344, 1620?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 - 254*o**2\/5 - 1776*o - 10080 = 0. Calculate o.\nAnswer: -60, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*o - 259, 0 = 4*w - 5*o + 98 + 211. Let q = 86 + w. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -21) + (1 - 2) + -9 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 - a + 4. Let f be w(-4). Suppose 5*u - f = -4*y, 0 = -2*u + 2 - 10. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.073*0.3.\nAnswer: -0.0219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21018.018337 + 21018. What is l rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926767.\nAnswer: 926767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -6007, -1.5, 14.\nAnswer: -6007, -1.5, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from tddtddddddd.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/3 + x**2\/2 + 5*x + 3. Let n be k(0). Suppose 0 = n*t - 22 - 8. What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -491*g**7\/7 - g**6\/3 + 5*g**3\/3 - g**2 + 61*g + 4760. Find the third derivative of y(p) wrt p.\nAnswer: -58920*p**3 - 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5618*m**4\/5 - 3922*m**3\/5 + 12804*m**2\/5 - 704*m + 256\/5 = 0. Calculate m.\nAnswer: -2, 8\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 - 127. What is the closest to -2 in 32, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4382, 14933, 32512, 57119, 88754, 127417, 173108?\nAnswer: 225827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3111*p - 6314. Determine f(-2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 16*r + 457. What is b(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 22 = 7*m. Suppose -4*h = -4*z + 280, m*h + 274 = 13*z - 12*z. Put 0, h, 3 in descending order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmxxm. What is prob of picking 2 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-1 - -10) + -3. Let p be 2\/5 + (-32)\/s. Suppose -6 - 14 = -20*k. Sort p, -5, k.\nAnswer: p, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/57 in -21\/4, -4, -94\/9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -88. Let j = p - 48. Suppose -5*y = -j + 4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 5*l**2 + 4*l + 10. Let j be z(-5). Let b be (-4)\/j - (0 - 84\/15). Solve b*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 8*r + 23783. Is x(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-16)\/(-132). Let j = -0.3 - 0.2. What is the biggest value in 3\/2, j, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**3 + 4*s**2 - 4*s. Let d(r) = -r**3 - r**2 + r. What is 4*d(a) + n(a)?\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 61?\nAnswer: -156\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 98 + 14 = 0. Let u be (42\/9 - 4) + (-4)\/(-12). Calculate the greatest common divisor of g and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 47. Determine n(19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.54208? (a) -4\/3 (b) -5 (c) -2\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649.6747 hours to milliseconds.\nAnswer: 2338828920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:17 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43944059?\nAnswer: 43944059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -249 - -3?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 64, -2, 82, -3 in decreasing order.\nAnswer: 82, 64, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyllyty. What is prob of sequence to?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 1 + 36 + 15 + 2*u - 26 - 1 + 18.\nAnswer: 2*u + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w, -3*w + 2388 = 6*v - 3*v. What are the prime factors of v?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -2. Suppose -n = -2*r + 4. Solve 2*u + r*u = -20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38 (b) 0.0851 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 52 - 40. Suppose 5*z - 2*h - 2572 - 81 = 0, 2*h = l*z - 1066. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 2, 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(144) + sqrt(22))\/(-2*sqrt(11)*-2).\nAnswer: 7*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**5\/40 + 4*l**3 + 3. Let r(x) be the third derivative of y(x). Let g(i) = 3*i**2 - 2 + 2. Determine g(r(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 9*v + 3. Let w be z(-9). Factor 10*f**4 + 17*f**2 + 4*f**3 - 4*f - w*f**2 - 22*f**3 - 2*f**5.\nAnswer: -2*f*(f - 2)*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*s - 21 + 21)*(-1 - 3 - 1) as p + q*s and give q.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109.4 + 106. Let p = z + -4.6. Which is the third smallest value? (a) -5 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*p**2 - 2*p**3 - 16*p**2 - 3*p**4 - p**3 to y*p**2 + w*p + o*p**4 + h + j*p**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.8905 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77554?\nAnswer: 2, 17, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187427367.\nAnswer: 41, 53351887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 5 - 1)*(-g + g + 4*g)*(-g**2 - 2*g**2 + 2*g**2) to the form z*g + x*g**3 + r*g**2 + m and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 3)*(19 - 2 - 2) + 4 - 2 - 3 + (-3 + 4 + 1)*(3 + 0 - 1))*(3*d - 2*d - 3*d)*(6*d - 4*d - 4*d).\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84580 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(-137*b - 107*b - 138*b + 75*b).\nAnswer: 307*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4 and 107\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 107032253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 5*p**2 - 5*p - 3. Give i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 779 in 0.01, 4, 3\/4, -0.5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2710*f - 25751211 = -2771*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/7, -0.24 in descending order.\nAnswer: 4, -1\/7, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ikvvkvskksvvvsvvvv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + sqrt(117)*-2 - sqrt(117) - sqrt(117))*6 - (sqrt(117) - sqrt(117)*-1*-5))\/(-1*-1*sqrt(81)).\nAnswer: 23*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16353747.\nAnswer: 3, 1817083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2030\/9135)\/((-2)\/33).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1 (b) 2 (c) 2\/21 (d) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 10, i: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/120 and -133\/382604928.\nAnswer: 1913024640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/5 - 5870146*t + 43073267576645 = 0.\nAnswer: 14675365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7486*f**2 + 313*f - 182*f - 131*f)*(-1 - f + 1).\nAnswer: 7486*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17498654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 793, 794, 795, 796?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1423 times -0.0549\nAnswer: -0.00781227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4710 - -4798. What is the remainder when p is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*(-24640)\/((-6880)\/86)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*x**3 - 1 + 1.\nAnswer: -245*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 divided by 3?\nAnswer: 925\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3 - 1 - 2*u + 0 + 0*u - u**2. Let n be -4 - -1 - (4 - 2). Let z(q) = -3*q**2 - 4*q + 5. Suppose -63*y - 2 = -64*y. Calculate n*k(s) + y*z(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:06 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9)*33\/55?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o = 246*o - 11349 + 1919 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*u - 145*u - 58*u + 5*u**2 + 0*u**2.\nAnswer: 5*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let i(t) = -2*t + 12. Let z(x) = i(x) - 3*m(x). Determine z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 9*v + q - 12, 0 = 3*v - 3*q + 12. Let d be (v\/(-21))\/(46\/(-69)). Let f = -7 + 5. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 382.6 + -383. What is the nearest to 0.17 in -3, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19872080 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 871661?\nAnswer: -87166.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214443?\nAnswer: 3, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 2*o**5\/5 - 5*o**4\/12 + 7*o**3\/6 + 3*o**2 - 7*o. Let n(v) = 7*v**3 - 4*v**2 + 6*v + 5. Determine 7*n(t) - 6*q(t).\nAnswer: t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38635307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*c, 0*w - 1 = -5*c + 4*w. Let d(q) = 2 + c - 3 + q**2 - q. Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.4, 15634, 1\/8, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31860.665 from -5.\nAnswer: -31865.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -5*j + 56. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105\/6*48\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f - 1. Let y(t) = 4*t**2 - t - 3. Suppose -5*a + 12*a = 21. Let r(u) = a*q(u) - y(u). Give r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/143 (b) 0 (c) 20.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 132. Suppose 4*p + z = 5*t - 37, -2*t + p + 13 = 0. Solve -t*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 58.00284. Round y to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149715 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -24. Which is the nearest to 0.1? (a) -4 (b) z (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -11b?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13788088 by -26.\nAnswer: 6894044\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/10 and 57\/473?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 18\/43 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8676383*b**2 + 3681766 wrt b?\nAnswer: 17352766*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*y**5\/3 + 99055*y**4\/3 + 634982*y**3\/3 + 73692*y**2 + 6600*y = 0. Calculate y.\nAnswer: -6, -2\/11, 0, 825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 10. What is the remainder when 107 is divided by h(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2559.1272 - 1.0728. Let o = z + 2558.89956. Let p = o - -1.3. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*z + 1. Let f be (z\/6)\/((-91)\/63). Is f at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:22 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13*y**(-18)*(y**(-2\/7))**(-3\/5) assuming y is positive.\nAnswer: y**(-169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153 + -45?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-200))\/((-129)\/(-172)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 629*c**3 - 13*c**2 + 16*c + 9. Let l be r(-7). Round l to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14\/8)\/((-9)\/(-36)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.5, 10, 767, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*a = 2*y - 219, 2*y + a = 150. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 3*w - w**2 + 1 + 5*w + w. Let y be b(2). Let a(v) be the first derivative of 4*v**2 - v + 1. What is a(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2680270 to the nearest ten thousand.\nAnswer: -2680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)*g)**(1\/19)*(g**2)**(5\/6)*(g\/g**0)**(-3\/2)\/((g**(2\/3)\/g)\/g)**(-22) assuming g is positive.\nAnswer: g**(-16583\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3490 - 3490 - 117*w**2)*(0*w**2 + 8*w**2 - 2*w**2)*(0*w + 3*w - 6*w).\nAnswer: 2106*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -168122 divided by 426?\nAnswer: -84061\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1036 and 15\/16.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -755 (base 10) to base 8\nAnswer: -1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5*d**3 + d**2 - d + 25. Suppose 25 - 8 = 5*a - 3*q, 2*q = 2. Let b be 4*((-1)\/(-1))\/a. Calculate y(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 99903.77 to the nearest 1000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.45 - -1.4466. Let w = h - -0.0405. Round w to 3 dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + 10*r**3 - 3*r**2 - 25*r**3 + 5*r**3 - 23*r**3.\nAnswer: -42*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5290489689.68 and 8.\nAnswer: 5290489697.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/9 + 27292*y\/3 - 163760\/9 = 0.\nAnswer: -40940, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 17*g**3\/6 + 71*g**2 - 56*g. What is h(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**4 + 2*j**4 + 11*j - 9*j + (-j**4 + j**4 + j**4)*(3 + 1 - 3) in the form t + u*j**3 + f*j**4 + h*j**2 + c*j and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*m - 6*m - 483 = 0, -9 = 3*m. Let r(b) = -3*b**2 - b**2 + 3*b**2 + n - 156. Determine r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*k - 28 = 0, k + 17 = 3*l - 0*k. Suppose -2*y + 3*u = 69, -1 = l*u - 3*u. Calculate the least common multiple of 16 and 6\/(-15) - y\/15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 88 = -2*c, -5*c - o = 3*o - 219. Let l(s) = -s**3 + 4*s**2 - s - 3. Let a be l(3). Suppose 0 = 2*f - 8, -c = -a*p + f - 5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s + 39*s = 231. Let c = -77 + s. Sort 2, 13, c, -4 in decreasing order.\nAnswer: 13, 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2799322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) -1 (b) -4 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.662462 years?\nAnswer: 7.949544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26644\/5 - -5332. Which is the nearest to 2\/9? (a) o (b) 3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6 - 9*w + 2*w + 15 - 6*w**3. Suppose -7*x = -3*x - 2*n - 32, -4*x - 4*n = -20. Let y(s) = 5*s**3 + 6*s - 8. What is x*y(d) + 6*t(d)?\nAnswer: -d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1435\/4 - 1\/8*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 - n + 1. Let l be s(0). Let w be (2 + (4 - 3))\/l. Which is the smallest value? (a) -4 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85 + 13*r**2 + 85 - 2*r**2 + 0*r + 0*r + (-3 - 3 + 4)*(2*r**2 - 4*r**2 + 3*r**2) + (-3*r + 5*r - 5*r)*(r + 4 - 4) + (-r - 5*r + 5*r)*(7*r - 5*r + 6*r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 5*o**4\/4 - o**3\/3 + 3*o**2\/2 - 3*o + 2. Suppose -46*r - 10 = -51*r. Is 7 a factor of b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1182*s**2 + 25452*s - 99724475 wrt s.\nAnswer: 2364*s + 25452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7.1*289\nAnswer: -2051.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + (sqrt(209) + sqrt(209)*-1)*-1 - 1*sqrt(209)*5)\/((-2*sqrt(1331) + sqrt(1331))*2 + sqrt(1331)).\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 39*l + 21. Let m be j(-19). Solve 6*s - m*i - 11 = 3*s, -5*s + 3*i + 19 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.00042 + 43. What is q rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let n be v(-3). Let w be 1*n*(-2)\/(-8). Which is bigger: w or -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 9*z**4\/2 + 3333*z**3 + 807453*z**2\/2 - 134946*z = 0?\nAnswer: -588, -153, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188169683.\nAnswer: 13, 281, 51511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3243 - 3235. Let i = 2 + 0. Suppose 0*v + i = v. Calculate the greatest common divisor of k and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2 - (-1 + -2). Suppose -48 = -2*f - p*f. What is the highest common factor of 60 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**3 - 4*t**2 - t - 3. Let n(a) = 9*a - 8. Let u be n(2). Let r = -13 + u. Is 10 a factor of x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 2*z - 2*z. Let w(l) = -1. Let h(k) = k - 4. Let x(n) = -n + 4. Let s(v) = 5*h(v) + 6*x(v). Let i(c) = s(c) + 4*w(c). Give i(q(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 50 = -s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*m**2*p**2 + 223*m**2 - m*p**2 + 20*p**2 + 1786*p with respect to m.\nAnswer: -34*m*p**2 + 446*m - p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63154, 126306, 189458?\nAnswer: 252610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29458 (base 10) in base 2?\nAnswer: 111001100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 859*v - 41*v**2 - 859*v to the form d*v**2 + m*v + r and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c - 13. Let x be h(6). Let l = x + 867\/11. What is the common denominator of -58\/9 and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -20 + 24. Solve 3 = j*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from yrrprqyryyyyuuqyuyu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 16 + 4*w**3 - 16.\nAnswer: 4*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/56 and -9\/22060.\nAnswer: 308840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t - 460. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 + 0 + -2). Suppose -882 = -94*j + 73*j. Let h be (-105)\/98*j\/(-8) - 6. Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/2 (c) -3 (d) 14 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1603 (b) -1 (c) -20\/9 (d) 282\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 + 11 - 8) + (-1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -187 or -189?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 2 - 3*q - 1 - 4*q + 1 - q + 0*q - q + (-3 + 3 - q)*(-4 + 2 + 1) - 3*q + 2*q - q - 5*q + 4*q + 0*q to w + p*q and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46873, 46966, 47121, 47338, 47617?\n\"Answer: 31*x**2 + 46842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6*z + 10*s**3*z**3 - 4*s**3 + 5*s**2*z**3 + 2*s**2*z + 30*z**2 wrt s.\nAnswer: -240*s**3*z + 60*z**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 + 99 - 636*f - 193 as o + h*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 150, 33\/4, 26, -5, -4?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173\/5 - -35. Let z = -1\/5 - l. Let o = -2 + 1.9. Which is the nearest to -1? (a) z (b) 12 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + 1)*4.\nAnswer: 4 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17264, 17253, 17244, 17237, 17232, 17229?\nAnswer: 17228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398 - 2383\/6. Let l = 61\/30 - t. Suppose -4*p - 9 = 4*m - 3*m, -9 = -3*m. What is the nearest to 2\/5 in -1\/5, p, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3278 + 6587. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (15 - 46) + 1 + -1 + 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 35.35209 and -3.\nAnswer: 32.35209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*d - 17557 + 5020 = 14369 + 14944 for d.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4025 divided by 5?\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419905 is divided by 46627?\nAnswer: 262","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 qqfqfqqmqq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -2.9. Let l = f - -22.6. Let n = l - 20. Which is the biggest value? (a) 2 (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3003 is divided by 104?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 204\/(-16) + 1\/(-4). Suppose 2*g = n + 93, -6*n + 134 = 3*g - 2*n. Let o = g - h. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 15. Suppose -5*m = -2*w - m + 106, 0 = -w - 3*m + 43. What is the highest common factor of w and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -60. Calculate the least common multiple of k and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1447 - 1024. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 3*h - 126*h**3 + 73*h**3.\nAnswer: -53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 63. Solve 0 = -3*o - 2*z - 13, 5*o - 5*z = -z - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, t: 3, z: 7, a: 1, p: 1}. Give prob of sequence ttp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 - 128 = -40*o - 1042 - 167 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7774*n**2 + 73*n**3 - 7774*n**2 + 0*n**3 - 3*n**3 - 3*n**3 + (-2*n**2 - 3*n**2 + 3*n**2)*(3*n - 3*n - 2*n) to m*n**2 + t*n + u + a*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + t**2 + 2*t**2)*(-11650 + 11650 + 87*t) + (0*t**2 - 2*t**2 + t**2)*(t - t - t).\nAnswer: 262*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 = 1. Let n = 4 + q. Suppose 0 = 5*y - 4 - n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 4*d**2 + 2*d + 3. Let m be z(3). Let b = 27 - m. Suppose 6*o - 3*o - 201 = b. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 + 29*k + 25. Calculate b(-8).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1564 = 2*s - 648. What are the prime factors of s?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -8. Let b = -16 - z. Let a = b - -15. Solve 5*m + 7 + a = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8934*w - 3256*w = -4783*w + 512589 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 695, 1043, 1391?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*r - 4*h, -4*h - 19 = 8*r - 3*r. Let f be 8*2*(-7)\/r. Solve -w + 2*m + 0*m = -13, 5*m + f = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 4 + 2\/(-1). Let g be (1 - n)\/((-2)\/6). Suppose g*l + 4*u - 184 = -l, 0 = -3*l - 4*u + 134. What is the highest common factor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - w - 1. Let y be a(-1). Suppose -222 = 3*v - y*z, 2*v - 3*z = -5*z - 168. Let g = -44 - v. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {h: 1, y: 4, r: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 13020 = -5*c - 13060, 0 = 3*c + x + 24 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 519329*c\/2 + 14280035.\nAnswer: (c - 519274)*(c - 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -85139084681 take away -1?\nAnswer: -85139084680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34664428 - -23864420. Suppose 2*u - 6*u + 4*d = -32, u + 4*d + 12 = 0. Let q be -4 - (0 + t + u). Round q to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*m + 2. Is 13 a factor of (4\/3)\/(m\/13)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8604 - 8427. What is the remainder when 430 is divided by d?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0347071872 and -462.6.\nAnswer: -462.6347071872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.48437 to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*6\/9 - -2. Suppose p*n + 2*k = 74, -2*k + 6 = -4. Calculate the smallest common multiple of 12 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 3426?\nAnswer: -3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436 is divided by 406.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -809*q**5 + 50*q**2 + 5*q - 7409. What is the second derivative of l(r) wrt r?\nAnswer: -48540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6862 and 48746.\nAnswer: 167247526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 685 and 120720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/60 - 5*d**4\/24 + d**3\/2 - 4*d. Let i(u) be the second derivative of a(u). What is the first derivative of i(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-48)\/15))\/((-7)\/(-672)*24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-9)\/l))\/l*l*l*l**(-1\/10))**(7\/2)\/((l**1)**(-17)*(l*l**(-1\/13)\/l)\/(l\/(l*l*l**(-6))*l)) assuming l is positive.\nAnswer: l**(15919\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402467001 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 353 + -111?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 0. Suppose 146 = 2*i - 4*s, c = 5*i + s - 419 + 21. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1602320 and -75\/1456?\nAnswer: 145811120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**7\/2100 + i**6\/225 - i**5\/60 + i**4\/30 + i**3 - i. Let u(v) be the second derivative of j(v). Factor u(m).\nAnswer: -2*(m - 2)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 + 3 = 0. Let o be 1 + (i - -49*12653). Round o to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b - 7. Let m be f(11). Suppose m + 9 = -2*q - t, 0 = 4*q - 5*t - 9. Let j(i) = 6*i**2 + 4*i. Is j(q) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45526253 divided by -327527\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x - 4*x + x)*(4 - 5 - 2)*(-2 - 1 + 0)*(-8 - 4 + 6) to the form p*x + j and give p.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1459682)\/1722)\/((-1)\/6). Which is smaller: k or 5089?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302548305 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/110, -75\/4, -0.5 in descending order.\nAnswer: -3\/110, -0.5, -3, -75\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8074456 times -0.1?\nAnswer: -807445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8*j**2 + 9*j. Let a be h(9). Let i(p) = a*p + p + p. Let r(x) = x**2 - 7*x**2 + 4*x**2. Determine i(r(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25699434, -25699432, -25699430, -25699428, -25699426, -25699424?\n\"Answer: 2*w - 25699436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85889607*h**4 - 19*h**2 + 12*h + 257626 wrt h.\nAnswer: 2061350568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let w(v) = 4*v + 14. Let j(h) = 2*h + 131. Let u(p) = 2*j(p) - 2*w(p). Give u(x(i)).\nAnswer: 8*i + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -52.16 and -75.\nAnswer: -127.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(6\/7))**(-4\/21) assuming c is positive.\nAnswer: c**(-4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27835236 = p - 7*p. Let o = p + 2769206. What is o rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146725832?\nAnswer: 2, 11, 23, 72493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/256 and -35\/96?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by -8.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 - -0.087\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -339, -2, 0.4, -77 in descending order.\nAnswer: 0.4, -2, -77, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**5*(a*a*a\/(a*a\/a**3*a*a)*a)\/a)\/(a**(1\/4)\/a)**(30\/11) assuming a is positive.\nAnswer: a**(1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 931958 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 366508147.\nAnswer: 631, 580837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -470125*n**5 - 32*n**3 + 149377224*n wrt n?\nAnswer: -9402500*n**3 - 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89199\/8 or 0.1?\nAnswer: 89199\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 948 + -940. Solve 0 = 4*w - 5*a + 12, -3*w - a - 1 - j = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**4 - 9*t**4 + 281 + 941*t + 933*t + 940*t - 6*t**2 - 2817*t wrt t.\nAnswer: -288*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1277, 1, 0, 2, 3, -49 in decreasing order.\nAnswer: 3, 2, 1, 0, -49, -1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.8780996 + 6.1781. Let u = 0.3 - h. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1004820\nAnswer: 1\/1004820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -45, -42, -39, -36, -33?\n\"Answer: 3*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -948 + 1470. List the prime factors of g.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 5:34 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-8) - 6\/4. Suppose v = -2*r + 14, -8*v + 76 = -3*v + d*r. Is (-7)\/((-28)\/v) + 595 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 547 (b) -3 (c) 0.1 (d) -3.7 (e) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 2.13. Sort -0.2, t, -1\/3, 4 in descending order.\nAnswer: 4, t, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217985, -3, -154, 0 in descending order.\nAnswer: 217985, 0, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331141 (base 5) to base 15.\nAnswer: -c99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-10))\/(3\/15). Let f = 8 + -10. Let s be f*1\/i + 0. Which is the closest to 0? (a) s (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 191*p - 159*p + 0 - 1. What is t(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 31*z = 20, -12 = 8*s + 3*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1369 - 1356. Let j = 28 - 28.4. What is the closest to -1 in 0.1, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - m = 15, -6*g - m - 30 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) -28 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -813 - -807. Let o = 49\/48 + 5\/16. Sort d, o, 1 in decreasing order.\nAnswer: o, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 - 7.9. Put 0.2, -1, 0.07, k in decreasing order.\nAnswer: 0.2, 0.07, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.29 in -0.4, -3, -1, 2.9, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*i**4 - 4873836*i**2 - 615*i**3 - 2547*i - 960 + 4871256*i**2 - 1373*i.\nAnswer: -5*(i + 4)**3*(10*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -397953 (b) -10.1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -340, -327, -300, -253, -180, -75?\n\"Answer: i**3 + i**2 + 3*i - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-277984)\/12)\/(-7)*3. Let i = -15318 + u. What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*i**2 + 22*i**2 - 42*i**2 + 87*i**2.\nAnswer: 124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 14, -844915?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -24. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -13 + -1 + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/10*(2 + -2). Suppose 3*v + 5*g + 6 - 31 = r, -5 = 4*v - g. Suppose 4*q + q - 10 = v. Solve -2*p = -2*i + 14, 6*i = p + q*i + 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 12. Put -3, y, 3 in ascending order.\nAnswer: -3, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82036*c**5 - 22210*c - 3 wrt c.\nAnswer: 1640720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3561 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3*(-2)\/(-12). Let o = -6.2 + 5. Let a = o + 0.2. Sort a, x, -2\/15 in descending order.\nAnswer: x, -2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -909.\nAnswer: -5\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -215570504 divided by 5?\nAnswer: -215570504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, -1, -2.\nAnswer: -2, -1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 5*k**2 + 0*k**2 + (-k + 0*k + 3*k)*(0 + 0 - 3*k) + 14*k + 4 + 2*k**2 - 4*k - 17*k.\nAnswer: -2*k**2 - 7*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5922 and 0.4.\nAnswer: -2368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4502937 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*o**2*t**2 - 15*f*o**2*t - f*o*t**2 - f*t + 1631*o**2*t**2 + 5 wrt t?\nAnswer: -2*f*o**2 - 2*f*o + 3262*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 - 8*z + 26. Let d be u(7). Let m = -362 + d. Factor 0*l + m - 5\/8*l**3 - 1\/2*l**4 - 1\/4*l**2 - 1\/8*l**5.\nAnswer: -l**2*(l + 1)**2*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125270\/419 or -298?\nAnswer: -125270\/419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*a + 3*a - 6, -a + 3*c = 4. Suppose -a*r = -5*r. Suppose r*t + h = -2*t + 837, 1261 = 3*t - 4*h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 173. Is (-1)\/(((-20)\/s)\/5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 1, x: 1, q: 1, l: 1}. What is prob of sequence lyxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27581 = -7*r + 4*u, 4*r - 6*r + 7906 = 4*u. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 69\/18*1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + -5 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22211 (base 3) to base 11\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 839 - 2480 + 828 + 2*l**2 + 2*l + 833 to the form b*l**2 + p*l + c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10069348.\nAnswer: 2, 349, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/2)*y)**(-10))**(-33)\/(y**4\/(y\/(y*y*y\/((y\/(y**7*y))\/y)*y*y))*(y\/y**(1\/5))**(-29)) assuming y is positive.\nAnswer: y**(861\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (42783\/130)\/(24\/40)*66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-26))\/(7110\/9243)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12\/13 (b) 0.3 (c) 4 (d) -2 (e) 0.2 (f) -529 (g) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 18 = -12*m. Suppose 4*d = 5*n - 2*n - 500, -m*n - 5*d = -295. Is n a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*4 + 17. Let x = g + -20. Let n be 0 - 3 - (x - 3). Solve -h - n = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11467034519 + -0.27.\nAnswer: 11467034518.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044728.\nAnswer: 2, 43, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119634 is divided by 3446.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - 20*i + 8*i + 14*i - 2*i.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.77993 + -0.07507. Let r = l - 0.445. Round r to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.09222, -107, -1?\nAnswer: 0.09222","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 172\/32)*(-1616)\/62620\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*y**2 + 127236*y + 300924.\nAnswer: -3*(y - 3858)*(11*y + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 = 46*z - 4*x, -3*z - 3*x + 7*x - 36 = -1 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 346\/(-8) - 2565\/10260.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*54571.\nAnswer: -218284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 30*n - 6138. What are the prime factors of n?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 b when four letters picked without replacement from aabjbbvvbaa?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - h = q + 1, 2*h = -q - 2. Suppose -5*t + 3*t + 200 = q. Suppose -5*y + y = -t. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 12*b**2 + 18*b + 36. Let k be g(4). Solve 38*y + 158 = k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4 - 1451755*m**3 = 0.\nAnswer: 0, 1451755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -14. Suppose t - 2*f + x = -0*t, -24 = -3*t - 3*f. Suppose -t = 3*b - 25. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1989*u + 70285 = 1990*u + 3*i, -3*u - 4*i = -210880. Is 38 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - s - 29 = 17*v, -v - 5*s = 25. Let x(i) = 8*i**2 + 9. What is the tens digit of x(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -y + 198, -3*y = b - 10 - 24. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 20. Calculate x(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17562, 17614, 17700, 17832, 18022, 18282, 18624?\n\"Answer: 2*m**3 + 5*m**2 + 23*m + 17532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrxxxwrsxxxx. Give prob of sequence xs.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*z + 12 + 16, 2*v = -5*z + 12. Suppose -3*x + 4*l = -3, -z*x + 4 = -4*l - 4. Let t(p) = -2*p - 7. Let s be t(-5). Solve 8*y = s*y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7512 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (0 - -1)) + -28 + 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210055 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:28 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-250)\/15 + -19)\/((-1)\/(-9)). Put 5, 6, p, 2 in ascending order.\nAnswer: p, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u - 41. Let k be l(-4). Suppose k*w = -j + 100, -4*j - 5*w + 452 - 38 = 0. What is the least common multiple of 18 and j?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 17. What is the first derivative of r*g**4 - 4*g**4 - 3*g**4 + 6 wrt g?\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(363) - (-4 + sqrt(363))*5) + (-4*sqrt(33))\/sqrt(11) + 2).\nAnswer: -132 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(600)\/sqrt(588))\/(sqrt(10) + (sqrt(10)*-2*6 - sqrt(10))))**2.\nAnswer: sqrt(5)\/42 + 7061\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**3 + 5725*z + 10*z**2 - 5723*z - z**3 - 10 - 6669*z**5 wrt z?\nAnswer: -400140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1556*p**2 + 22569*p - 48443394?\nAnswer: 3112*p + 22569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:55 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-6 + 0))\/(-15). Which is the closest to -2\/7? (a) 0 (b) r (c) -5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 5*j - 5 - 7\/2*j**2. Does 10 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:20 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14928, -14939, -14954, -14973, -14996, -15023?\n\"Answer: -2*u**2 - 5*u - 14921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 - 4*r**5 - r**5 - 1777176*r - 3287*r**5 + 1777176*r + (2*r - 2*r - r**4)*(1 - 1 - 2*r).\nAnswer: -3287*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15)\/(i\/(i**19\/i))*i**(-2\/13)*i*i**(-21) assuming i is positive.\nAnswer: i**(-236\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 1580656*z - 15806160.\nAnswer: -4*(z - 395154)*(z - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 62*y + 47. What is the hundreds digit of x(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -4, 1 in increasing order.\nAnswer: -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34.9132 millilitres?\nAnswer: 0.0349132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -25, -0.1 in decreasing order.\nAnswer: 0.5, -0.1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -1) + -1 + 115 + -42 + -66.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824 = -31*m + 183*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2172, 2189, 2222, 2271?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t**21)*(t**(-24)*t)\/t*t\/((t\/(t**(3\/22)*t))\/t)*t**27 assuming t is positive.\nAnswer: t**(-327\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2278*j**3 - 2163*j wrt j?\nAnswer: 13668*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30147 - 150736\/5. Which is the nearest to -210? (a) -1\/4 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*p - 6 + 2, -11 = -5*w - 2*p. Factor -11\/9*b + 4\/9*b**4 + 1\/9*b**w - 4\/3*b**2 - 2\/9.\nAnswer: (b - 2)*(b + 1)**2*(4*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 2\/(-4) + (-1070)\/(-20).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 432*v**2 + 30999*v + 10905. Give b(341).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*r - 162, 5*s + 4*r = -0*s + 233. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775 and 2000?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*sqrt(3))**2*-3.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 923.7273 millilitres?\nAnswer: 0.9237273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8050*o**2 - 12*o - 16398. Let i(a) = 12879*a**2 - 19*a - 26237. Let g(d) = 12*i(d) - 19*p(d). Differentiate g(n) with respect to n.\nAnswer: 3196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34360)\/770 - 4\/14. Let o = -45 - q. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*y = 30. Let r be (-6)\/(-15)*y + -38. Let z = -7 - r. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 84*j - 64*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, 1, 69, 183?\n\"Answer: 23*f**2 - 47*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -303 + 3.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/396088 and 87\/452672.\nAnswer: 3168704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 462643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-4 + (-5 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76597674?\nAnswer: 2, 3, 12766279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -84*r**2 - 2543*r + 521. Calculate c(-30).\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 84 + -27 + (10 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.73 + -0.7299943. What is c rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -88. Let c = f - -29. Solve 3*t - 13 = c*q + 27, 0 = -3*q - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 847.5857ns?\nAnswer: 0.0000008475857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87788923 to the power of 1\/2, to the nearest integer?\nAnswer: 9370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -162.00151. Round c to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + 3*c**3 - c**3)*((4 - 5 - 13)*(-5 + 0 + 3) - 48 - 167 - 319 - 28) to p*c**3 + o + d*c**2 + f*c and give p.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3899435, 7798850, 11698263, 15597674, 19497083?\n\"Answer: -p**2 + 3899418*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/25 - 284*z**4\/25 + 286*z**3\/25 = 0. What is z?\nAnswer: -143, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**5\/20 - k**2 - 5. Let l(c) be the second derivative of s(c). Let z(y) = y. Give l(z(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3)*-7*-3. Let f = 90 - 43. Suppose -2*k + f = r. Calculate the remainder when 59 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 5*n - 3. Let a(k) = k + 6. Let v be a(-5). Calculate the remainder when 15\/2 + v\/2 is divided by g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/303? (a) -22 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219178161?\nAnswer: 3, 17, 53, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -66323181, -66323189, -66323197, -66323205, -66323213, -66323221?\n\"Answer: -8*k - 66323173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from ossac.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -50. Suppose -4*o = -d*y + 66 + 44, 53 = 3*y - 5*o. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -757 - -295. Does 13 divide t\/(-6) - (1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3479 - -2924. What are the prime factors of q?\nAnswer: 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 6 - 40*z**3 + 864*z - 2*z**3 - 862*z - 65*z**3 as o*z**3 + p*z + t + x*z**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1275)\/((-525)\/(-21))*((-12)\/6)\/(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from sdssdsssssds?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let y(s) = 3*s - 3908. What is y(p(a))?\nAnswer: 6*a**2 - 3908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 17*s**2 - 20*s + 2. Let x be j(-18). Let w be x\/9 - 2\/9. Factor 5*a**4 + a**w - 2*a**4 - 4*a**5.\nAnswer: -4*a**4*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p**0))\/p))**(-2\/27)*(p**2)**(-1\/37)*((p\/(p*p\/p**5))\/((p\/(p\/(p\/p**(-1))))\/p))\/(p**(-4\/3)*p**(-1)\/p) assuming p is positive.\nAnswer: p**(6125\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + -3. Let t = p - -11. Let v = -8 - t. Is 1 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2134\/55)\/((-6)\/(-15)). Let x = s - 49. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001999501 to six decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 18*n**2 - 7*n + 82. Calculate the remainder when 728 is divided by y(-18).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21744 and 48036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 24, 55, 110, 195?\n\"Answer: u**3 + 3*u**2 - 3*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-15\/4)*r))\/r)**21\/(r**(1\/97)\/r)**(3\/32) assuming r is positive.\nAnswer: r**(14295\/388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 100?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c66 (base 13) in base 7?\nAnswer: -120543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = u + 12, -3*u - 4*m = -2*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10)\/z**(-5\/2)*z**(-11\/2)\/(z*z**(-4\/5)) assuming z is positive.\nAnswer: z**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-62)\/4)\/((-4)\/(-8)*-2) and (-58)\/23 + 1 + 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6787252 or 6787259?\nAnswer: 6787252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1. Let m(x) = -4 + 2 - 2*x - 3*x + 3*x. Let w(q) = -3*g(q) - m(q). Determine w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/960*l**6 - 24*l**2 + 0 - 1\/48*l**3 - 1\/64*l**4 + 0*l - 1\/160*l**5. Factor h(a).\nAnswer: -(a + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4\/3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:15 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/336 - 291*o**7\/35 + 17*o**5\/15 + o**4\/4 - 3816*o**2 - o + 2. What is the third derivative of j(q) wrt q?\nAnswer: -60*q**2 - 41904*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -11, 0.\nAnswer: -22, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 5*d - 7. Give g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9468*w**2 + w - 9467*w**2 - 3*w**4 + w - 4*w**3 = 0. What is w?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-5))\/(188\/(-235))*-3)\/((-6)\/248).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -729 in 4, 1\/8, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 2. Let t(a) = 1. Let v(s) = g(s) - t(s). Give v(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 1\/36*a**4 - a + 1\/3*a**2 + 0 - 1\/6*a**3. Factor p(l).\nAnswer: (l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 934, 1228, 1520, 1810?\n\"Answer: -f**2 + 297*f + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1586 = 2*k, -419 - 788 = -3*s + 2*k. Let u be (-4)\/(-3)*s\/38. What is the third derivative of -132*q**3 - u*q**2 - 5*q**2 + 112*q**3 wrt q?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -180, -240, -280, -300, -300?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 19*z**2 + 32*z - 7. Let m be v(-21). What is the second derivative of 411*l**3 + 141*l - m*l**3 - 7*l**2 - 206*l**3 wrt l?\nAnswer: 12*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 12 = u, -u - 195 = -3*z - 201 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 22*y + 24.\nAnswer: -2*(y - 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 114 + 76 = -3*u, 3*u = j - 187. Let c be -2 + (-62 - 1\/1). Which is bigger: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 289*f**2 + f - 1. Give r(1).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 2\/7 (c) -3 (d) -993\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 - (-5 + 4)) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25803883.\nAnswer: 7, 41, 89909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2281404 and 1247353.\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 3, c: 10, i: 1}. What is prob of picking 1 b and 3 c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/(-10) - (-2 + 1). Let r be (x\/3)\/(-3 + (-21)\/(-9)). Solve 0 = 4*w - r - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Suppose 0*g + i*g = 0. Let y(l) = -l + 12. Let m(k) = k - 13. Let v(q) = -5*m(q) - 6*y(q). Calculate v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 3*v**5\/4 + v**4\/12 - 7*v**2. What is the tens digit of u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*i + 1 - 3)*(0 + 0 + 8)*(i**4 - 5*i**4 + 3*i**4).\nAnswer: -16*i**5 - 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(117)*1*5*-5)\/((sqrt(81) + (sqrt(81) - (sqrt(81)*-1 + sqrt(81))))\/sqrt(9) - 3*(sqrt(9) - sqrt(18)\/sqrt(2))).\nAnswer: 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14986461?\nAnswer: 3, 7, 647, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/14 - 6\/21. Sort -3, 5, w, -9 in descending order.\nAnswer: 5, w, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 212283649 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1 - 4. Suppose -8 = -c*d + 2*r, 4*d - r = 11 + 3. Sort 0.1, 0.3, d.\nAnswer: 0.1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 4. Let b be l(5). Suppose 5*v - 6 = 5*j + b, 5*j = -v - 7. Solve -16 = v*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -976*j**2 + 533. Let r(z) = -4880*z**2 + 2670. Let a(g) = -2*r(g) + 11*x(g). Find the first derivative of a(l) wrt l.\nAnswer: -1952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1144305 (base 6) to base 16\nAnswer: ecb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {v: 3, w: 1, u: 5, z: 1, x: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 177, -11, -9, 20, 3 in increasing order.\nAnswer: -11, -9, 3, 20, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 558, 1043, 1668?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = -a. Suppose 3*p - a = -2*p. Suppose p*h - 5*n = -16, 2*h - 6 - 2 = -n. Sort h, -5, -2 in decreasing order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7 + 29. Put 5, 4, 2, j in decreasing order.\nAnswer: j, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57750\/2142 - 27)*2?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 greater than or equal to -717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 489652883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5574309)\/50219)\/((-8)\/(-1)*(-3)\/2)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (4 + 1 - 3)*(5 + 1 - 4) + 1 - 1 + 1)*(-s**2 + s**2 - 3*s**3).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(847) + sqrt(21)\/(sqrt(3) + -4*sqrt(3)).\nAnswer: 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:03 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 4*f = 5*t + 103, -5*t - 4*f + 531 = 0. Let j = t - 100. Let m(p) = 44 - 91 + 39 + p**2 - j*p. What is m(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3631)\/(-77) + (-15)\/35. Let l = 2897407\/62007 - z. Let s = l + 182269\/33822. Calculate the common denominator of 71\/10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10452, -20909, -31368, -41829, -52292, -62757?\n\"Answer: -a**2 - 10454*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 29. Let t(z) = 150*z - 6. Give k(s) + t(s).\nAnswer: 148*s + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(2))\/sqrt(6))**2 + sqrt(3) - sqrt(15)\/(sqrt(5)*-2).\nAnswer: 3*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (0 - (-3)\/2*2). Let i(b) = 2*b**3 + 6*b**2 + 6*b - 7. Let a(j) = j**2 + 1. Let w(y) = c*a(y) - i(y). Is w(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203512 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 876 = r, -4*z + r + 876 = -0*r. Suppose j + 2*h = 225, j + h = -3*h + z. Is 45 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 13 + 280*d + 280*d - 567*d. Determine f(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(1 - 3) - (1 - 511). Suppose t + 114 = c. What is the smallest common multiple of 4 and c?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 1 - 1 + (-1 + 0 + 7)*(1 - 12*b + 8*b + 4).\nAnswer: -25*b + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -2419, -8212, -19495, -38098, -65851?\nAnswer: -104584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -889\/6. What is the common denominator of 81\/16 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*k - 54 - 475. Suppose 25 - k = 2*q. Solve -2*o = q + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142359?\nAnswer: 3, 7, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.72026932 to 1 dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3294 = 6*i - 3*i. Suppose 2*k - 4*r - 3850 = -i, 4*r + 1384 = k. Suppose 8*o + 4*o - k = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1791 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdoxsmso. What is prob of picking 1 d, 1 s, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -139 and -143 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/3 - 2)*-9. Let f = w - -5. Let m = 19 - f. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33301112 (base 4) to base 11\nAnswer: 44596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 784470, 37\/5, 2\/5.\nAnswer: -4, 0.3, 2\/5, 37\/5, 784470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 14. Let z be l(7). Suppose 50 = -z*i + 5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 82837904855\nAnswer: -82837904834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6331091 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 38.016. Let k = x + 0.416. Which is the second biggest value? (a) k (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 12. Let b(g) = 8*g**3 - 3*g**2 + 4*g. Is b(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 128*o**2 + 14*o + 8. Is g(8) a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2449 divided by 5\nAnswer: -2449\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92633, 92622, 92611, 92600, 92589, 92578?\nAnswer: 92567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89933\/44567 + 46\/1087. Let o = n - 3245\/246. Calculate the common denominator of -121\/120 and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 3*s)*(-5*s**4 + 5*s**4 - 4*s**4) + 398 + 3*s**5 - s**2 - 429 - 2*s**5.\nAnswer: -3*s**5 - s**2 - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 0*u**2 - 2*u**2 - u**2)*(-10 + 4119*u - 2057*u - 2059*u + 5*u**2) to the form g + t*u + q*u**2 + y*u**4 + k*u**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + f = -41 + 54, 0 = -4*f + 4. Sort -13, -4, 4, 5, z.\nAnswer: -13, -4, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.406 - -0.094. Which is the nearest to 1\/4? (a) m (b) 5 (c) -4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133742 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*g**3 - 102*g**3 - 205*g + 73*g - 571*g**3 wrt g.\nAnswer: -3270*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 7 (c) 6 (d) 1\/4 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 20158*f + 112 = -20160*f + 39, -c - 121 = 4*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 16*b - 8. What is the least common multiple of 6 and m(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 3*u**5 + 4*u**5 + (u - u - u**4)*(0*u - u - u) + 2 + 4*u**4 - 4*u**4 - 4*u**5.\nAnswer: -3*u**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3896 + -1 + -10 + 3. Suppose 7*z - w - 1775 = 0. List the prime factors of z.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/48)\/((-9)\/2 - -3). Let t(r) be the third derivative of 0*r - 2\/3*r**3 + 0 + f*r**4 - 3*r**2. Differentiate t(h) wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 3116*x**3 - 155712*x**2 - 2524160*x - 13549568.\nAnswer: 4*(x - 827)*(x + 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 3*a**3 + 183954*a**2 + 1 + 2*a**3 + a - 183961*a**2 in the form f*a**3 + y + o*a**2 + w*a + s*a**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Solve 0 = w*y - 2*c + 14, y - 2*c - 3 = -15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648332 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 589?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from enneeenenee.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32569000 rounded to the nearest 100000?\nAnswer: 32600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 2*t. Let m(h) = -219*h**2 - 7*h. Give m(z) - 4*r(z).\nAnswer: -211*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.98100379859 and -6.\nAnswer: -9.98100379859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2385436 greater than -2385431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -47*s + 68. Let y(c) = 1. Let z(k) = -h(k) + 6*y(k). Let n(v) = v - 1. Let b(a) = -5*n(a) - z(a). Differentiate b(f) with respect to f.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23c1a (base 13) to base 12\nAnswer: 32084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -1\/4, -6\/5, 71?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2703 = 87*k - 70*k. Calculate the greatest common divisor of k and 19239.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17675 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-496)\/(-3) + 6\/(-18). What is the highest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(11\/5))\/(c*c*c*c**(1\/10))*c**(5\/3)\/((((c*c**(-1\/15))\/c)\/c)\/c*c))**(-25) assuming c is positive.\nAnswer: c**(235\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and 1995.84835.\nAnswer: 1977.84835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 v when four letters picked without replacement from {s: 2, v: 5}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 7. Let i = w - 15.3. Which is the smallest value? (a) -4 (b) i (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c - 3*c + c)*(13*c - 13*c + 8*c)*(-2*c + 5*c - 2*c).\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10887 and 12863?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8290 + 30091 = 0. Suppose 0 = -4*c - 5*l + 7689 + 9719, -5*c + 4*l + t = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/2 - (-3 - 0). Suppose 3*c = 3*k + 15, 2*c - 12 = -k - 5. Put i, -5, c in ascending order.\nAnswer: -5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h + 1. Let m be z(3). Suppose 0*g - m*g = -12. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let g be l(-5). Let n = -5\/51 - 4\/17. Let k = 5451\/19 - 287. Which is the biggest value? (a) g (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47, -146, -303, -512, -767, -1062, -1391?\n\"Answer: c**3 - 35*c**2 - c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119093867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrz when four letters picked without replacement from zrrrvvrvvvvvrrvrrvv?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f**2 + 122*f**2 + 122*f**2 - 85*f**2.\nAnswer: 198*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -2207126.64427 and -63.\nAnswer: -2207189.64427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 261*q**3 - 1244*q**3 - 879*q**3 - 3 + 3.\nAnswer: -2384*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/25)*d\/(d**(1\/3)*d))\/(((d\/d**(-5))\/d)\/(d\/(d\/(d\/(d**6*d))))))\/(((d\/(d*d*d\/(d*d*d**(2\/9))*d))\/d)**(1\/4))**(4\/5) assuming d is positive.\nAnswer: d**(-2452\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 2*w - 64, -a - 4*w - 2475 = -2567 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/25 - (-114)\/10. Let t(g) = -g**3 - 2*g. Let f(y) = -5*y**3 - 11*y. Calculate z*t(q) - 2*f(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8*r + 38, -948*p + 945*p + 3*r = -18. Is p less than or equal to 163\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -n. What is the tens digit of 26 - n\/(3 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180255124 + 180255124 - 11*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093942431 to the power of 1\/3, to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -13acb?\nAnswer: 13ace","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 = -4. Suppose -8 - s = -3*v. Which is the third biggest value? (a) -1\/12 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3130 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13457\/945 + -501\/35. What is the second smallest value in -1\/7, o, -5, 1\/14, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(720) - (sqrt(720)*-1 + sqrt(720)) - sqrt(720)) + sqrt(720))**2 + 3)*1.\nAnswer: -2877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*s - 6*s. Let u be (3\/(-2))\/((s\/(-8))\/(-7)). Find the third derivative of -p**2 - 3651*p**3 - 7*p**4 + 3651*p**u + 24*p**2 wrt p.\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 - m**2 - m - 6. Let z be k(3). Is 2282\/(-21)*(-3)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(72)*1 + sqrt(72))**2*-3.\nAnswer: -867 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -0.3, -1.088, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 38 = 142. Let b = -2\/429 - -12884\/3003. What is the common denominator of b and 1606\/264 + (-3)\/w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 10) in base 2?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z - 62 = 0. Let k be 3\/2*130\/(-15). Let t = z + k. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -129*w - 3430. Calculate s(-33).\nAnswer: 827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*p - 10, l - 2*p - 1 = 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6370 = -6512*h + 6421*h for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19241194 and 65192.\nAnswer: 2231978504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000308356 to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9864 divided by 18?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 3. Let l be v(9). Let m(p) = 4*p + 3. Let w(i) = 2*i - 112. Let q(x) = x - 64. Let k(z) = 7*q(z) - 4*w(z). Calculate l*k(s) - m(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqzz when four letters picked without replacement from zcqzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/1*(-4)\/14. Let z = 56 + -101. Let h be 5\/(-4)*216\/z. Solve -1 = s - 3, 0 = -v + m*s - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 + (-3)\/(-1) + (-4)\/(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/60 and -131\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -3, -1, -4 in ascending order.\nAnswer: -4, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5748*z. Let i(c) = 2*c. Calculate i(g(s)).\nAnswer: -11496*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-8))\/((-30)\/8). Let f = -65\/213 + -2\/71. Which is the third smallest value? (a) f (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4) + (-7)\/(-1). Suppose 0 = -b + 14 - j. Solve -4*z - 1 + b = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(-3)*-3*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y - 110 - 10 = 24*y. Let m = -56 + 225\/4. What is the closest to m in 3, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1035825*z - 31500. Let q(l) = 2629*l - 80. Give 4*k(i) - 1575*q(i).\nAnswer: 2625*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1693 minus -0.03937057063?\nAnswer: -0.12992942937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6396042 and 432165.\nAnswer: 31980210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 479697 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830 is divided by 715?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8172 - -16528. What are the prime factors of h?\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5892, 11791, 17690, 23589?\nAnswer: 29488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or -87?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/83242 and 85\/4.\nAnswer: 166484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55207 or -55209?\nAnswer: -55209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3 + 10*b**2 + 17*b + 8 = 0?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-5)\/50*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -101.8. What is the fourth biggest value in 0.11, 1, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w + 4*w)*(15 - 6*w - 15)*(-97 - 81 + 158).\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 352\/320 - (6\/(-4))\/3. Which is the closest to 1? (a) -1\/4 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 16 = -7*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 17*d - 15. Let p(x) = 2*x**2 + 6*x - 5. Determine -6*c(u) + 17*p(u).\nAnswer: -2*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.01203498 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*z - 20 = 0, 4*d - 3*z - 2*z = 16. Suppose d*r + 9*w = 4*w + 85, 78 = 3*r - w. Let l = r + -11. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4112 - -2?\nAnswer: 4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 1)*(-12)\/(-14). Let w = m - 10. Let g(p) be the third derivative of p**6\/120 + p**5\/15 + p**4\/8 + p**3 - 114*p**2. What is g(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113319 divided by -1014?\nAnswer: 37773\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682649.64 rounded to the nearest one thousand?\nAnswer: -1683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25598\/(-42)*2\/46. Let s = y + -1\/966. What is the common denominator of s and 11\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1561\/4 - 390. Let i = 2.06 + -0.06. Which is the closest to 0? (a) 0 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c + c)*(3 + 1 - 1)*(-1 + 2 - 2) + (0 + 0 + 3*c)*(825 - 832 + 562).\nAnswer: 1650*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = -0. Let o(i) = 29*i + 1. What is the tens digit of o(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2585\/(-564)*(-8)\/(((-24)\/(-6))\/(4\/2))?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/12 - i**2 + 12. Let h(t) = 78*t**2. What is h(b(w))?\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:06 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/656 and -87\/176356.\nAnswer: 28922384","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 65 = 5*g, -17 = -10*g + 9*g - 3*m. What is the third derivative of -64*j**6 + 17*j**2 + 16*j - 4*j - g*j - 14*j**2 wrt j?\nAnswer: -7680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 44 = -3*f. Suppose -64*v + 63*v = -3*r - 9, -f*r - 12 = 0. Solve g + 0*g - 28 = -5*i, 4*g - 4*i + 8 = v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35456 divided by -1577.\nAnswer: -35456\/1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 199450, 199295, 199140, 198985?\n\"Answer: -155*c + 199605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 15*x**2 + 6*x - 21. Is g(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -m - 2*m. Let k(q) = -24*q**2 + 9*q - 13 + 19*q**2 - 7*q**3 - 3*q + 6*q**3. Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:15 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250 != 4249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/24*((-5520)\/(-225))\/(-23)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 5*j**2 - 3*j + 1. Let d = 14 - 11. Suppose 4*u - 1 = f + 6, 3*u = 9. Suppose d*g + 4 + f = 0. Give w(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3687045*y - 3 + 3684329*y in the form c + s*y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -26*u + 144. Let o be g(5). Suppose 0 = -o*b + 13*b + 2999. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose -3*t + p = y, t + 0*p = -p. Solve -5*m = -t*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - s**2 + 26*s**2 - 11 - 7 with respect to s.\nAnswer: 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 40*h**3 + 1. Let g be q(1). Suppose 30 = 44*i - g*i. Solve o + i = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*o - 5 + 16 - 4 - 2 - 5.\nAnswer: -1064*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-3*h**2 + h**2 + 0*h**2) - 6*h**2 + 5*h**2 - h**2 - 1 + 1 + 2*h**2 - h**2 - 7 + 7.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o**2 + 955*o + 172. Give a(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*y = -0 - 11, 11 = a + 3*y. Suppose -67 = -a*u - i, -u = u - 3*i - 71. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 1.337. Let z = 2.937 + g. Which is bigger: z or -1\/12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 372 - 526. Let s = 159 + l. Solve -t - 9 + 22 = -s*j, j - 2*t = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4254131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*z**2 + 4*z**2 + 0 - 2*z**2 + 2*z**2 + 5*z**2 - 4*z**2 + 4*z**2 - 2*z**2 + (3 - z - 3)*(2 + 2*z - 2).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**3 - 3*d**2 + 4*d + 1. Let q be j(1). Is 5 a factor of 13 + q + -4 - 161*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1594322 and -524067.\nAnswer: -2118389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1920*y**4\/7 - 16112224*y**3\/7 - 33806869518*y**2\/7 - 2575260240*y - 321888350 = 0.\nAnswer: -33565\/8, -1\/3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -73036?\nAnswer: 73038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**3 + 1. Give j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 71*z + 73*z + 16 = 0, 0 = -2*i - 6*z - 48. Solve n - 2*b - 12 = i, -6 = b - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621764 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*k + 14. Let x be ((-8)\/(-12))\/((-2)\/(-30)). Let g = k + x. Solve g = -q, 2*q - 4 = -a - q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.01 (b) -2\/3 (c) -0.3 (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*c - 34, -3*m + 34 = 3*c + 2*c. Let t = -12 - -19. Suppose k - t + 4 = 0. Solve -5*d = 3*z - c, -d + 3*d - 20 = k*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126720368 by 2.\nAnswer: -63360184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282 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: Which is the closest to -1? (a) 0.01 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13175633.1 hours in weeks?\nAnswer: 78426.3875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*((2*sqrt(114) - sqrt(114)) + sqrt(114)))\/(sqrt(6) + (sqrt(6) - (sqrt(6) + ((sqrt(54) + sqrt(54)*-2 - sqrt(54)) + sqrt(54))\/sqrt(9)) - sqrt(6))).\nAnswer: 5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, 18, 225.\nAnswer: -1, 2, 5, 18, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:22 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118713 = 69*g + 120783 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25900 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 61, 71, 71, 61?\n\"Answer: -5*r**2 + 35*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137369895?\nAnswer: 3, 5, 13, 704461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157.01 + 167.51. Put -0.06, 2, a in decreasing order.\nAnswer: a, 2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8771 is divided by 2181.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 320*f**2 - 3. Let o(s) = 528*s. Give d(o(k)).\nAnswer: 89210880*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 2. Let o be n(0). Suppose 2*m - o = 4. Find the first derivative of 4*r**3 + 7 - 4 - r**m wrt r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175193 is divided by 98871?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -12 (c) 4 (d) -1989.914\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*d - 968 = 878*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13872435139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 33*t + 45. Let z(l) = 2*l + 36. Let h be z(-13). Let d be w(h). Let k be d\/(-20) - 1\/4. Which is smaller: -18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 6576 = -6120 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzpvzzocvzzzaz. What is prob of sequence poa?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -29*s. Let q(z) = 3*z**2 + 698311. What is g(q(w))?\nAnswer: -87*w**2 - 20251019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3006888220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945840 and 2355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 5*x**2 - 4*x + 3. Let d be a(6). Let f = d + -10. Suppose -j = 4*w - 25, -4*j + f = -3*w - 0. Solve w = u + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (137 - 130) + 55\/(-7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -0.39. Which is the third smallest value? (a) -0.2 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 1, f: 6, n: 5}. What is prob of sequence pfs?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-5 + 1 + (2 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 3*j + 2*j)*(-6 + 6 + 6*j) + (4*j - 2 + 2)*(j - 2*j + 0*j) - j + j**2 + j + 4*j**2 + 3*j**2 - 6*j**2 in the form a*j + s + n*j**2 and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (-4 - -3)) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52567?\nAnswer: 52567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -99, -291, -591, -1017, -1587?\n\"Answer: -3*p**3 - 36*p**2 - 63*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**4 - 12*o**3 + 3*o**2 + 18*o = 0?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/7 + 22*k**3 - 316*k**2\/7.\nAnswer: 2*k**2*(k - 2)*(k + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -28, -63, -128, -235, -396?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 31*g - 147. Determine q(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 232*z + 74*z + 11*z + 20*z + 119*z to the form p + o*z and give o.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2300 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1480*m + 19424. Determine l(13).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f - 15*f + 38*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9920, -19818, -29668, -39446, -49128?\n\"Answer: 4*g**3 - 9926*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 25*l = 0. Determine x, given that 6\/11*x**4 + l*x - 4\/11*x**3 + 0*x**2 + 0 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.02251, 1\/6, 0.02859, -0.2 in descending order.\nAnswer: 1.02251, 1\/6, 0.02859, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 5*d + 41, -2 = 189*g - 193*g + d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53538238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143763575 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/7 - 79083126*n\/7 = 0.\nAnswer: 0, 39541563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855744354?\nAnswer: 2, 17, 23, 3651847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/668264 and -131\/19464?\nAnswer: 2004792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 3.4404153061194?\nAnswer: -4.1404153061194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Solve 5*q = 5*v - 0*q + k, v - 5*q - 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 30 + 5761*f + 8 - 5761*f - 32 + 4*f**3.\nAnswer: 4*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/28 - 1\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-21))\/((-24)\/(-196)) + 49\/147. Solve z = 1, 3 = b - 2*z + g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -21, -3 in increasing order.\nAnswer: -21, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*a - 28 = 0, -5*z + 10 + 15 = 2*a. Sort -5, z, 10, 0 in descending order.\nAnswer: 10, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:32 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:49 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -280193*n**3*z**2 - 6*n**3*z + 180*n**2*q**3*z**2 - 17839*n**2*q**3*z + n*z - 10*q**3*z - q**3 + z wrt z.\nAnswer: -560386*n**3 + 360*n**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-1)\/b)**(6\/17)*(b**(1\/3))**20)**(-15\/4) assuming b is positive.\nAnswer: b**(-895\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44688140 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-5\/4)*t**(2\/25))\/(t*t**(-4\/5)*t*t*t*t*t\/t**(-2\/7)) assuming t is positive.\nAnswer: t**(-2209\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -82, 0, -2 in ascending order.\nAnswer: -82, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (-1049 + 1084).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + 3 - 3 - (147 + -3 + -152)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4015, -4018, -4023, -4030, -4039?\n\"Answer: -s**2 - 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2. Suppose -9*w = -8*w - 2. Let a(s) = 1 + w + s**2 - 3. Determine j(a(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 22 = 2. Let o(y) = 466 + 7*y - j*y - 466. Let d(c) = -41*c**2. Calculate d(o(t)).\nAnswer: -656*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 + 0.24. What is the nearest to u in -3\/2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -973.667 to zero dps.\nAnswer: -974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*c = -c + 73, -b = c - 25. Suppose -295*o = -305*o + 1380. What is the least common multiple of b and o?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-9)\/(-557)) + 20\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 698728 and 47593.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 2\/3*g**5 + 0*g + 0 - 10\/3*g**3 + 2\/3*g**4.\nAnswer: 2*g**2*(g - 1)**2*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -18. What is the lowest common multiple of k and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7469 divided by -11\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 20.22. Let y = -1.22 + l. What is the third smallest value in y, -1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -184*(-1 - -8 - 590\/8) is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, -3, 3\/32?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from iaunaxa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5092740 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 11*t + 4. Let n be k(6). Let d(v) = -9*v**3 + 2*v**2 + v + 4. Is 41 a factor of d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -171b - -356?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 128*r + 95*r + 15 - 63 - 6*r**2.\nAnswer: -6*r**2 - 33*r - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172933*p + 177262.\nAnswer: 172933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.43 + 3.43. Sort -3, -19, 2\/7, y, -4 in increasing order.\nAnswer: -19, y, -4, -3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 6550634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2, -2*o - o + i + 25 = 0. Calculate the remainder when 35 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6 = 3*n - 8, 0 = -n + 11*k + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -56457\nAnswer: -282285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 445, 490, 535, 580, 625?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 - 1 = -i, 0 = i - 2*t + 2. Suppose -i*b - 18 = -b. Let s(y) = -y**3 - 5*y**2 - 6*y - 4. Let u be s(-4). Put 3, b, u in descending order.\nAnswer: u, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64174035 - 4?\nAnswer: -64174040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 24*h + 193. Let s be y(-25). Solve s*c - 1470*c - 16 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.866 - -0.466. Which is the closest to 3? (a) 3\/7 (b) d (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*-4*((1*sqrt(1088) + -3)**2 - (-4 + sqrt(1088) + 0 - sqrt(1088)))*-4*-4.\nAnswer: -422782 + 18432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 0.5. Let n = -3.2 + 0.2. Which is the closest to j? (a) n (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -39) + -9 + -2 + 14. Solve -4*c - 4 = 5*f, -2*c + 5*f - 41 = -w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 11*f**2 - 12*f - 3. Let s be z(12). Let r be (s - (-18)\/12)\/((-2)\/12). Calculate the highest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2 - 11*t**2 + 25*t**2 - 12*t**2. Let z(x) = -x**3 - 4*x**2 + 4. Let w be z(-4). Suppose 4*a - 30 = -9*i + w*i, -5 = -5*i + a. What is h(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/((3807\/(-243))\/47).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069671 + 7251.\nAnswer: 7251.069671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.21, -1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371786 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3 + (1 - 0) - -3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i**2 + 112*i**2 + 8*i - 8*i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23300385*a**3 + 16729436?\nAnswer: 69901155*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q**3 + 12*q**2 + 165*q + 126 = 0. What is q?\nAnswer: -14\/9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/16)\/((-2)\/(-148)). Let l = y + 898. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20815? (a) 1 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 1 d when three letters picked without replacement from {n: 3, l: 1, i: 2, q: 1, d: 1, u: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4189, -23344, -67361, -146134, -269557, -447524, -689929?\n\"Answer: -1649*d**3 - 2537*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-9)*v**8*(v**(-2\/5))**(5\/4))**(9\/7) assuming v is positive.\nAnswer: v**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 3 + j**2 + 0.\nAnswer: j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 240.253 to the nearest integer.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 22. Let j be p(-11). Suppose 4*q - 73 - 119 = j. Calculate the highest common factor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37056 and 6070236.\nAnswer: 97123776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 - -250. What is the units digit of ((-456)\/l)\/((-24)\/540)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184591514 by -92295757.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 3*a**2 + 0*a**3 + 1\/8*a**4 + 0*a + 0 - 1\/20*a**6 + 0*a**5. Find the second derivative of h(j) wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1741396 and 268?\nAnswer: 116673532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**3 - 11*h**2 - 18*h + 1. Let s(d) = -4*d**3 + 6*d**2 + 10*d - 1. Let y(i) = -5*s(i) - 3*t(i). What is the units digit of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -746, -1488, -2228, -2966, -3702?\n\"Answer: k**2 - 745*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 + 7*i + 743*i**2 - 370*i**2 - 370*i**2 - 2 + 4*i in the form q*i**4 + o*i + x*i**2 + m + n*i**3 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 2*j**2 - 3. Let q = -1516 + 1514. Calculate g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46899 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*1 + sqrt(95))*-3)\/(3*-2*sqrt(5)) + -3.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2) + -3 + 4. Suppose -2*p + 3*m = -80, 3*p + 2*m = -g*m + 94. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5 - 1. Let t be (-7191)\/(-36) - (-6)\/(-8). Suppose -u + 4*l + 187 = f*l, -u = 5*l - t. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 equal to -145\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 5?\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183955629?\nAnswer: 3, 11, 13, 428801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 26. Suppose -3*b = -4*j - b + 70, -2 = -2*b. Does 24 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/7)\/n**(-11)*n*(n\/(n**(-8\/7)*n))\/n*n*n*n**(12\/5) assuming n is positive.\nAnswer: n**(584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -1. What is the nearest to n in -1\/6, -3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1495 = 4*o, 4*t - 3*o + 4*o = 1217. List the prime factors of t.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + (-2 - -3) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -276\/13, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in -4, 16, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**4 + 86*b**3 - 4134*b**2?\nAnswer: -144*b + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l - 4*l**2 + 4 + 8*l - 6*l**2.\nAnswer: -2*(l - 1)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -3 - (-90)\/(-50)*-5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2\/5 + 5984*u\/5 - 2238016\/5 = 0 for u.\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/8 + 177*y\/2 - 4907\/8.\nAnswer: -(y - 701)*(y - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 586 or -53?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0 - 9)\/(6\/(48\/14)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76, 127, 188, 265, 364, 491?\n\"Answer: w**3 - w**2 + 47*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 6:08 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 6*q - 2. Let f = 22 + -11. Suppose 4*h + 1 + f = 0. Determine b(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -295 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 4:59 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34251 - -34267. What is the greatest common factor of 4208 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(320) + sqrt(320) + (sqrt(320) + -1)**2*-1)*-3 + sqrt(45)\/(5*(sqrt(18)\/sqrt(2) - sqrt(9)) + sqrt(9))*5.\nAnswer: -91*sqrt(5) + 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 182 = -37. Calculate the lowest common multiple of 28 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20444.3 - 20445. Sort -1\/6, -1\/2, a in descending order.\nAnswer: -1\/6, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1889, 1890, 1891, 1892, 1893, 1894?\nAnswer: 1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*13 + (72\/(-6))\/4. Calculate the greatest common factor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1643025*a**3*b**2 - 13*a**3*b + 375014*a*b - 2*b**2 wrt b.\nAnswer: 3286050*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l*(l\/(l*l\/(l*l**(1\/4)))*l)\/l)*l\/l**5*l**(-6\/5)\/l*(l**(-1)*l*l*l**8)**(-50) assuming l is positive.\nAnswer: l**(-9049\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 36 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21088469.\nAnswer: 21088469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u - 5. Let h(t) = -t**3 + 9*t**2 + t - 19. Let s(n) = 2*n**2 - 6*n + 1. Let o be s(4). Let j be h(o). Sort j, -3, u in decreasing order.\nAnswer: u, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -9, 2\/337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 23*y - 135. List the prime factors of v(48).\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(612) + sqrt(612) + (sqrt(612) - (sqrt(612) + -1))*-6.\nAnswer: -9 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 3, f: 4}. Give prob of picking 1 v and 3 s.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3008*c**3 - 3334*c**3 + 5793*c**3 + (-c**2 + 4*c**2 - c**2)*(-3 + 3 + c).\nAnswer: -547*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 2}. What is prob of picking 1 j and 2 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414661 and 835.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -0.1 (c) -2\/21 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-532)\/1197)\/((-13)\/(-9)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12928 by 9132.\nAnswer: -3232\/2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223989 (base 13) to base 6.\nAnswer: -25152233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-138)\/(-42) - ((-36)\/(-28) + -1). Suppose -2*p + 2 = 2*p - f*d, 0 = 2*p - 3*d + 2. Let t(a) = 0*a**3 - 9 - a**2 + a**3 - 5*a**p + 8. Calculate t(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 15) to base 5\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/270)\/((-62)\/10)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 181e + -18?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z - 1\/3*z**4 + 7\/6*z**3 + 4*z**2 + 0. Let b = -10859 + 10860. Let u(y) = -y**2 + y + 1. What is b*q(h) - 6*u(h)?\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/7750 and -5\/248.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18331665 and 1265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22221023122 (base 4) in base 11?\nAnswer: -1636280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1226 divide 340190480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**3 + a**2 - 3*a + 6. Let z(k) = 13*k**3 + k**2 - 5*k + 17. Give 5*x(v) - 3*z(v).\nAnswer: -9*v**3 + 2*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -524, -526, -530, -536, -544, -554?\n\"Answer: -y**2 + y - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261877045 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a35d1 (base 15) to base 14.\nAnswer: 256198d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112127771.\nAnswer: 7, 83, 192991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6706254 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-1 + 1 + 1)*(3*s - 2*s - 3*s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w\/(w**(1\/2)*w))\/w)\/w))**(-3\/10)\/(w\/(w\/(w\/(w\/w**(-1\/3))))*w*w*w*(w*(((w\/(w**(-10)\/w))\/w)\/w)\/w)\/w*w))**21 assuming w is positive.\nAnswer: w**(-5761\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 47, 41, -5, 0, -26, 2 in descending order.\nAnswer: 47, 41, 2, 0, -5, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 447*s + 0 + 6 + 0 - 6 to the form i + r*s and give r.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*y = -6, 133*y = 134*y for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/o**(2\/11))*o)\/(o\/o**(3\/5)))\/(o**(2\/7))**(-5\/12))**(-8))**(-31) assuming o is positive.\nAnswer: o**(258044\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m + 0*m)*(-35*m - 11*m - 39*m).\nAnswer: -170*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2442 divide 33914496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 27\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y**2 + 2*y - 13. Let j(k) = -31*k**2 - 3*k + 25. Give -3*j(t) - 5*n(t).\nAnswer: 13*t**2 - t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2\/10 + 297\/15?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 244*s**2 - 29*s. Let r(c) = -6*c - 219. What is r(d(b))?\nAnswer: -1464*b**2 + 174*b - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*x - 19 = 0, 2*d + 3*x = 26 - 29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**2 - 2*r**2 - r**2)*(34 - 2*r**2 - 19 - 16) as o*r**3 + z*r + u + t*r**2 + x*r**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 2*f**3 + 2*f**3)*(187 - 187 + 109*f**2) + f**5 - 4*f**5 + 2*f**5 + (-2*f + 3 - 3)*(0 - f**4 + 0).\nAnswer: 110*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**3 - j**2 - j + 1. Let k be o(-2). Let q be (16 + -8)\/(2\/(-22)). Let v = k - q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 10, -1 in descending order.\nAnswer: 13, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7\/19, -1\/2, 2\/17?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t. Let c(u) = 2*u + 6. Let y be c(-3). Suppose -5*i + 5*o = -40, -2*i - 5*o - 8 + 3 = y. Let z(j) = -5*j + 4*j + 5*j - i*j. Calculate h(z(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:43 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 60. Suppose 70 = 2*v - 4*y + 2*y, y - r = 0. Suppose d + 3*a - v = 8*a, 5*d = -2*a + 239. What is the greatest common factor of d and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*n - 7 - 4, -3*n - 18 = -2*c. Suppose 3*a + x = -0*x + 23, a - 21 = -c*x. Suppose 2*t = 3*t - 11. What is the remainder when t is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/21)\/((-430)\/(-11352)*-22).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/24*(-2)\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/3 - 28*f**4\/3 - 566*f**3\/3 - 1472*f**2\/3 - 312*f = 0. What is f?\nAnswer: -9, -2, -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/19 + 4\/38. Let r(a) = -34*a. Let q(p) = 17*p. Let s(n) = h*r(n) + 7*q(n). Let m(i) be the second derivative of i**3\/3 - i. Calculate m(s(d)).\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 629 (b) -0.3 (c) -5418 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*f = 699, -4*n - 2*f - 2*f = -912. Find the common denominator of n\/(-2610) + (-4)\/(-12) and -39\/16.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51947 = -4*b - 4*o + 181571, 3*b = 5*o + 97290. Is b a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 11 - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-66)\/5)\/(10\/5575). Let d be 4 + -3 - (-161923)\/22. Let i = d + u. Calculate the common denominator of i and -19\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -7 - (-4 - 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3263\/195 + -17)\/(6\/(-15))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2) + 1*11. Let d be ((-3)\/(-10))\/(o\/(-16)). What is the second smallest value in 2, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 4*o - 2*o**2 + 4*o**2 to the form n*o**2 + c*o + j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16574681.279834 - -16574656. Let k = t - -25.69983366. Let x = -0.42 + k. What is x rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -7*m**2\/2 + 115*m - 12. Let i be l(16). Solve 2 = y - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.03, 20?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10877\/5 or -0.1?\nAnswer: 10877\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11187 - 1567 = -14*j. List the prime factors of j.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 397*y**3 + 1968*y**2 - 3140*y + 1568.\nAnswer: (y - 392)*(y - 2)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, q: 2}. What is prob of sequence qyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45545283 to the nearest integer?\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757013 is divided by 233?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47421\/6 - (-315)\/210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18*p**2 + 5*p - 4. Let w(q) = 52*q**2 - 15*q + 11. Give 11*j(t) + 4*w(t).\nAnswer: 10*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 - 78 = -3*v + 4*c, 5*c - 39 = 16*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -34*h**2 + 3*h - 2. Let v(d) = 2*d**2 + d. Give -t(r) + 4*v(r).\nAnswer: 42*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + f**2 + (0*f - 3*f + 4*f)*(0*f + 2*f - 4*f) + 4*f**2 + 0*f + 0*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 - 7*m. Let o(d) = 36*d**2 - 7*d**2 - 27*d**2. What is j(o(a))?\nAnswer: 24*a**4 - 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1599507936 divided by 43446\nAnswer: -36816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 1812*d**4 + 444*d**2.\nAnswer: 240*d**3 - 43488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29153184 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 54. What is the third derivative of -21*o**5 - o**2 + i*o**5 - o**2 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 44 - 181 = 0. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3\/3 - d**2 - 4*d + 158. Suppose 4*h = 5*i - 15, 5*h - 5 - 10 = -5*i. Suppose -p - 3 = -h*p. What is u(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 - 105*n**2\/4 - 1068*n - 10880.\nAnswer: -(n + 16)*(n + 34)*(n + 160)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1683 + -140. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1197 times 0.03\nAnswer: -35.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.254 - 0.154. Which is the biggest value? (a) 7 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22358*45\nAnswer: -1006110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t**2 - t + 2. Let y be h(-4). Suppose 408 = 5*o + 48. Find the common denominator of 25\/18 and y\/o*(-3)\/(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049 - 3.5.\nAnswer: -3.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 48. Let i be (-11)\/55 - (-2)\/10. Let u be (3 + i)\/(45\/(-6)). Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 6*p + 51, 19 = -13*p + 15*p - 3*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.9 less than -5?\nAnswer: -248.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -205464195 and 5669?\nAnswer: 205469864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 31 = 6. Let x(s) = -6. Let z(j) be the first derivative of j**2\/2 + j - 3. Let o(d) = -x(d) + z(d). Give o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 1 + 2 - 9 + 1.\nAnswer: -5*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -99*68\/(-370260)*-15\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-2 - -1) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3) - 1)\/((-8)\/48).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 6*x**4 + 0 + 2 + 0*x**4 + 14*x - 3*x**2 - 12*x - 6 as i*x + h*x**3 + p*x**2 + u + w*x**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15360109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1408920367 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 903*f - 11267 = -2*h + 908*f, -3*h = 2*f - 16967. What are the prime factors of h?\nAnswer: 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -49194*f. Let i(m) = -7*m - 12. Calculate b(i(j)).\nAnswer: 344358*j + 590328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112947890.\nAnswer: 2, 5, 11, 1026799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(24\/12))\/((-1)\/(-1)). Which is the nearest to l? (a) 0.1 (b) 8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/2 - 0. Find the common denominator of y and 1124\/(-144) + 2\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-8\/7)*b*b**(-3\/7))**25*(((b*((b\/(b*b*b**(2\/9)))\/b)\/b)\/b*b)**(-3\/13))**(-20\/3) assuming b is positive.\nAnswer: b**(26450\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**4 + 8829657*f**3 + 3*f + 251236480 with respect to f.\nAnswer: 28*f**3 + 26488971*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s + 42. Calculate b(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -13*w**4\/4 - 4*w**3\/3 - 2*w**2 + 9. Let b(a) = 4*a**3 + a**2 + a. Give -7*b(s) - 2*d(s).\nAnswer: -2*s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1322*c - 482 = -1324*c. Suppose -239 = -5*i + c. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*l + 50, -l - 30 + 14 = 5*f. Solve 5*b - 24 = i, 16 = 5*b - l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 - 114.22. Let d = -13.88 + j. Let b = 16.10000067 + d. What is b rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -1 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 318253 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*p = -407 - 1727 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 396.01 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7575 >= -295474\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 - 1. Let t(x) = -5*x**3 - 12*x**2 - 18*x - 10. Let b(h) = -6*m(h) + t(h). Let p be b(8). What is the units digit of (65\/p)\/((-2)\/56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -691 (base 15) to base 13\nAnswer: -8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2696 and -0.45.\nAnswer: -0.12132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -457*g + 17878 - 21534 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 706 and 784013?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 366, 841, 1454, 2241, 3238?\n\"Answer: 6*p**3 + 33*p**2 + 334*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -280, 21, -4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 - 57310*f + 821109025 = 0. Calculate f.\nAnswer: 28655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -133. Solve -x = 5 - 0, -2*x - w = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140 or -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -452.731144 - -452.7. Round f to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 903752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*(-2*(sqrt(833) + 1*sqrt(833)) + 1)*-5)**2.\nAnswer: -5600*sqrt(17) + 1332900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/sqrt(7))\/sqrt(10))\/sqrt(2) - (2*sqrt(12) + 1 + sqrt(192) + sqrt(192)).\nAnswer: -19*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/217 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7522023 is divided by 1349?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 225 = 7*b - 35*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 37*s**2\/2 + 1. Let q(r) = 31*r + 14*r**2 - 102*r + 71*r - 11*r**2. Calculate q(m(h)).\nAnswer: 4107*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c6 (base 14) in base 16?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7059 is divided by 3517?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - (0 + sqrt(99) - sqrt(99)))) + -5 + sqrt(99) + 5 + (sqrt(99) - sqrt(99)*-1))*-1)**2 - ((1*sqrt(99))**2 + 4)*5*-6.\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 298 - 292. Suppose 10880 = -r*w + 40*w. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 1\/7 (c) -3\/5 (d) 3 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206, -244, -308, -398, -514, -656, -824?\n\"Answer: -13*n**2 + n - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 + 8*x**3\/3 - x**2 + 6*x - 15. Determine c(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/6)\/(-3))\/(54\/108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/29 or -1?\nAnswer: -60\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(19)*-2 - (sqrt(2736) + -2 + sqrt(19)))**2 + (3*sqrt(171)*-4)\/(sqrt(9)*1*-1).\nAnswer: -48*sqrt(19) + 4281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15636 and 15.\nAnswer: -15621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000114 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5559 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + n - 5. Let p(i) = -5*i**2 - 9*i - 20. Let q(o) = 3*p(o) - 6*t(o). Suppose q(m) = 0. What is m?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:06 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 3*b + 6*b)*(0 + 0 - b**3) + 14*b**4 - 8*b**4 + 23*b**4 in the form t*b**2 + q*b**3 + h*b**4 + l*b + s and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 162317585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -186, -207, -264, -375, -558, -831?\n\"Answer: -3*c**3 - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164968713, 164968715, 164968717, 164968719?\n\"Answer: 2*v + 164968711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 7)*(-2 - 3\/(-2)). Solve v - 1\/4*r**4 - 1\/4*r**3 + 1\/4*r + 1\/4*r**2 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 19 = -3*s. Suppose s*t - 8 = -4. Solve 5*c + 5*x = 6*c - 10, x = -t*c - 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62008633 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/525 + g**6\/300 - g**5\/50 - g**4\/12 - 2*g**3\/15 + 4*g**2. Suppose h(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z - x, -4*z = z - 3*x - 7. Suppose -z*u = u - 12. Let h = 7 - u. Solve h*f = t + 18, -15 - 5 = -f + 5*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j**2 - 5*j**2 - 11*j**2)*(j - j - j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2256488 divided by 1669.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 13*y - 2790. Let x be 27\/y*8\/(-6). Is x greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 8048471*c + 680 + 8048472*c.\nAnswer: c + 886","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 17. Let k be n(5). Let m be k + (8 - 4) - 22. What is the units digit of m\/(-15) - 357\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7121 - 5367 = -892*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2943 and 2187?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -207769.1 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1654, 3249, 4736, 6061, 7170, 8009?\nAnswer: 8524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.077546 kilograms in tonnes?\nAnswer: 0.006077546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1652364 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = 0, -13 - 32 = -5*o - 5*c. Let z = 10 - o. Suppose 4*y + b = 16, z = -2*y - 3*b - 2. What is the remainder when 19 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11 - 13 = 0. Solve -f*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -37. Suppose -3*d = -3*q - 0*q + 123, -4*d - 2*q = 146. Let u = g - d. Solve 3*i - i = u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2272710 and 113\/1278.\nAnswer: 6818130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-20 - 13 - -69).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.3 (b) -81 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85020273 + 28340087 + 28340092 - p + 28340094.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10447\/90214 - -1\/2098. Let a = i - 351\/2279. Is a at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22465997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 234 + 31*f**2 + 22\/3*f**3 + 0*f + 3\/4*f**4. Find the second derivative of p(w) wrt w.\nAnswer: 18*w + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -245 + 269. Suppose 10*w = 12*w - 66. Let m = w - z. Calculate the remainder when 60 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1923 * -2558.\nAnswer: -4919034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -16*d + 60. What is the common denominator of 24\/11 and ((-39)\/(-32))\/(d\/560*18)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -9*s**6\/5 + 21*s**5\/5 - 13*s**4\/18 - 28*s**3\/9 - 4*s**2\/3 + 9*s + 7. Solve a(m) = 0 for m.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.062 - -3.938. Let w(h) = -h**3 - 9*h**2 - h - 11. Let n be w(-9). Sort r, n, 2, -1\/3.\nAnswer: n, -1\/3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -423*i + 1. Let y(k) = -1341*k**2 + k + 1. Determine z(y(v)).\nAnswer: 567243*v**2 - 423*v - 422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*a - 4 = 0, -3*s = -6*s + 4*a - 7. Let c(j) = -j - 3*j**s + 33 + 33 - 68 - 2*j**2. What is c(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/327547?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 100*c**2 + 8*c - 3. Does 50 divide x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88001.\nAnswer: 88001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x + 3\/5*x**4 - 18\/5*x**3 + 3\/5*x**5 + 0*x**2 + 0.\nAnswer: 3*x**3*(x - 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -374, -696, -9, -7 in decreasing order.\nAnswer: -7, -9, -374, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -124. Suppose -14*c + 10*c = -892. Let b = c + g. What are the prime factors of b?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22*l - 5520. Let m(w) = 10*w + 2453. What is -20*m(v) - 9*x(v)?\nAnswer: -2*v + 620","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 21*g**3 + 0*g**3 - 4*g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1935, -1927, -1921, -1917, -1915, -1915, -1917?\n\"Answer: -d**2 + 11*d - 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -l - 2*l. Let w(n) = 2*n - 10. Is w(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 83?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 217*b - 10883. What is the remainder when 424 is divided by p(51)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 0)\/((-2)\/1). Let g be 12\/8*q\/(0 + -1). What is the greatest common factor of g and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfffi. Give prob of picking 2 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:30 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -376741*m**3 + 7354*m + 128.\nAnswer: -2260446*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 17*j + 4437 - 43*j - 4437 to the form s*j**2 + n*j + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/(-9))\/(((-32)\/(-84))\/4). Let r = a - -66. Suppose 44*v - 3 = 43*v. Solve 3*s - v*n = 21, -4*s - 3*n - r = 2*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60694.2 milligrams to nanograms.\nAnswer: 60694200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -177. What is the fourth biggest value in m, -2\/15, -41, 1?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 700 = -5*c. What is the remainder when c is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 4 - 6*m**2 + 0*m**2.\nAnswer: -4*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1701 - 24?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*u**4*v**2 + 124*u**4 + v**2 + 16 wrt u?\nAnswer: 16*u**3*v**2 + 496*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*325\/(-1350)*(-8)\/26?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.56 + -2.16. What is the second biggest value in -3, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 5*o + 3. Let m(w) = w**2 - 1. Let b(h) = 5*m(h) + t(h). Calculate b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-576)*30 + 759\/(-44).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -922518 divided by 4?\nAnswer: -461259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/3*((-21)\/(-4) - 3). Let i(k) = -k**3 + 5*k**2 + 4*k + 3. Calculate i(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21098958*q**3 - 2*q**2 - 22*q - 1054836 wrt q.\nAnswer: 126593748*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/8 + h**3\/3 - 7*h**2. Determine a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -89383 and -89157 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*p**6 + 53*p**5 + 461*p**2 wrt p.\nAnswer: -720*p**3 + 3180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/605 and -109\/1474?\nAnswer: 81070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 592 - 2146. Let g be 32*(-1 + 1 + -2). Let w = r - g. Is w != -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g - 33 = 12*g + 171 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10110 + -1255?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1) + (27 - -1). Suppose -6 = -i + v, -2*i + 3*v + x = 2*i. Calculate the least common multiple of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 3*l**2 + 15*l + 21. Calculate y(-5).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-936)\/780 - (-276)\/(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001181329671 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.3675 millilitres in litres?\nAnswer: 0.1873675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zppzpppppzpzz. Give prob of picking 2 p.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-18))\/((-3280)\/3240*9)*4\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65094 (base 11) to base 16.\nAnswer: 1718c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 704 + -617. Let t(l) = -2*l**3 + l**2 + l. What is the remainder when d is divided by t(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -667.4342588 and 0.637?\nAnswer: 668.0712588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0 - 21*z + 3 - 55*z - 2. What are the prime factors of l(-1)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67033 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1674444252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2295, -4579, -6865, -9153, -11443?\nAnswer: -13735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 14. Let i be j(-10). Calculate the common denominator of (-186)\/(-20) + (-2)\/2 and (1\/i)\/((-2)\/73).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 15*f - 14. Let s be u(13). Let t = s + 55. Suppose -13*z + 60 = -z. Solve g = 3*r + 11, t = -z*r + 7*g - 2*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 14*h - 57 = 0. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5449662 is divided by 397.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21219516*j*k**2 + 49602816*j - 10*k**2 + 5 wrt k.\nAnswer: -42439032*j*k - 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -140418\nAnswer: 3931704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -22 (b) -0.15 (c) -0.4 (d) 0.02 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 6*v + 3. Let w be o(6). Suppose -4*d + w*d - 820 = 0. What is d rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 17\/3*o**2 - 118\/3*o + 8\/3*o**3 = 0. What is o?\nAnswer: -5, -1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 43, 5, -0.09, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:00 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12442, 24827, 37154, 49423, 61634?\nAnswer: 73787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 113 = c + 52, 0 = -2*b - c + 17. Solve 7 = -3*p + f, 7*p + 3*f = b*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 200 = 490. Let r = n + -84. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262266 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(500) + 0 + -5 + (-1*sqrt(5)*-1 + sqrt(5) - 4*(sqrt(5) + sqrt(30)\/sqrt(6) + sqrt(5)))))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -30 + -10 - (4 + -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -1436\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q + 14. Let r be 3\/12 - (-1)\/q. Let m be 3 + (-6)\/3 - r. Is 2 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 635 = 5*x + p, -381 = -3*x - 3*p. List the prime factors of x.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, h: 6}. What is prob of sequence hhh?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - r**2 + 2*r**2)*(-2 + 2 - 2*r) - 2*r**3 + 0*r**2 + 0*r**2 + r**3 + r**3 - 8*r**3.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-9) - (-2)\/(-9). Let k = -988\/15 - -66. Let h = 17 + -12. Sort k, h, w.\nAnswer: k, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*n**4 - 10*n**3 + 1511*n**2 + 11167445*n wrt n.\nAnswer: -468*n**2 - 60*n + 3022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 0 + sqrt(2))*6)**2.\nAnswer: -288*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 3*k - 16. Let d be j(-6). Let n = d - 22. What is the least common multiple of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/120*c**6 - 1\/24*c**4 + 0 + 0*c - 1\/2*c**3 - 1\/30*c**5 + 33*c**2. Let o(t) = -t**2 - t - 2. Calculate 2*j(g) - 3*o(g).\nAnswer: 2*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - t + 16. Let i(q) = q**2 - 7*q + 17. Let f be i(5). Let l be u(f). Let x = -14 - -23. What is the greatest common divisor of l and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -782, -2434, -4958, -8354, -12622, -17762?\n\"Answer: -436*r**2 - 344*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 4:53 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:35 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + -9232?\nAnswer: -9242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679130.2t to micrograms.\nAnswer: 679130200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*u = -82, b + 0*b - u = 28. Let i = b + -20. Is i 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 124 and 28?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**4 + 5632*v**3 + 520968*v**2 - 1058816*v + 532220 = 0. What is v?\nAnswer: -89, 1, 1495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11388679 is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -28. Let m(c) = c**2 + 6*c + 4*c**2 - 4*c - 3 + c**3. Let a be m(-4). Solve 2*j - 2 = 2*r, q*j + r - 23 = -a*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 42. Let c = 119 - b. Let q = 3 + c. What is the highest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 8*d + 10. Calculate the remainder when 57 is divided by m(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - 5 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -4*w**3\/3 + 40. Let t(c) = -c**3 + 5*c**2 - 4*c + 1. Let a be t(4). Let h(k) = -1 - k**2 + a. Determine 5*h(p) - m(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -27. Let q(a) be the third derivative of -a**5\/60 + a**4\/3 + 37*a**3\/6 + 54*a**2. What is the smallest common multiple of q(11) and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -210.5.\nAnswer: -6.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3175060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/14 and 121\/10312778?\nAnswer: 10312778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = -4*p + 763288, -5*p - 41902 = -z + 21732. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 15. What is l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118154, 472690, 1063592, 1890860, 2954494, 4254494, 5790860?\nAnswer: 7563592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b5 (base 16) in base 14?\nAnswer: -204d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -v - 7*v. Let g be ((-2)\/v)\/((-54)\/(-42)). Let z be (3\/6)\/(9\/(-6)). What is the third biggest value in z, g, 0.3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b9 - -122?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 264, 265, 266, 267, 268?\n\"Answer: k + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*x - 433*x - 118*x**3 - 58*x**3.\nAnswer: -176*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose 0*a - 53 = -3*a + k*f, 4*a = f + 88. Suppose 105 = 4*q - a. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 50*y - 545. Let g be s(34). Which is the nearest to 1? (a) g (b) -0.4 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = -3*z, 0 = -2*z - c - 1 - 4. Solve z = 6*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14007247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*b - 2 - 212*b + 2 - b**2 to the form g + r*b + t*b**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -537b846?\nAnswer: -537b854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94\/(-172) + (-3)\/(-6). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 12*h - 3. Let j be s(8). Suppose 4*f - 2*z = -j + 121, -5*f + 2*z = -114. Suppose 5*m - 31 = 9. What is the remainder when f is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 6*b**2 - b - 2. Let v be u(3). Is (-236)\/(-10) + (-2)\/v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 18*l**2 + 17*l + 178. What is f(21)?\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68517335591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5514310 divided by -2757155.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h**3 - 412*h**4 + 51*h - 43*h + 411*h**4 + 2*h**2)*(19 + 48 + 1) as m*h + s*h**3 + a + y*h**4 + k*h**2 and give m.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 29\/4*t**2 + 7*t**3 + 3\/2*t.\nAnswer: t*(4*t + 3)*(7*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 911.4.\nAnswer: 45.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (125 - 126).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, -3, -8 in descending order.\nAnswer: 5, 4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367175 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-42) + (-62)\/(-217))*102\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - sqrt(27)) + 2 + -3)*-2)**2.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 24*i - 26*i. Solve 5*h - 2*s = -4*s - 12, 3*s + 8 = -i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j - j - j + 0*j. Let p = 0 - -5. Let a(q) = p*q - 5*q + q**2. Give a(s(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.551 and 107403.\nAnswer: 107402.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1059*l**5*z - l**4*z - 2*l**2*z - l**2 - 1272*l*z wrt l?\nAnswer: 63540*l**2*z - 24*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/72 and ((-5)\/(2 - -3))\/(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.7 and 249?\nAnswer: 1170.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1368)\/1404)\/(-38)*-54?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -10) + 2\/2. Is 380 + (0 + m - 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65558587981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -3. Let o be 8\/28 - (-66)\/14. Suppose -o*r + 36 = y. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*d = -517*d + 765*d + 6325 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-17))\/v)**(-1\/32))**(-2\/29))**50 assuming v is positive.\nAnswer: v**(425\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -3 - 1\/3*t**4 - t**2 - 1\/30*t**5 - 4\/3*t**3 + 0*t. Let y(c) be the second derivative of z(c). Factor y(h).\nAnswer: -2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 3:34 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 4)*(-3*b + 3*b - b).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 2*q - 5. Let p be i(4). Suppose 5 = -p*h + 4*h. Solve h*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akv when three letters picked without replacement from {v: 2, a: 1, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 223 = 2338. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 = -m + 67*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 24 - (-10 - (1 + -1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 61*n**2 - 1295*n - 1234. Determine r(22).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2438482239 and 0.3.\nAnswer: 731544671.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1559062221.2 to the nearest 1000000.\nAnswer: -1559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let g(n) = 3*n + 1. Suppose 2*r = r + 3*s + 14, 2*r - 8 = -4*s. Let q(a) = -4 - 5 - 2*a + 27. Let f be q(r). Give f*g(p) + 5*d(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2096*c - 3378*c + 3312*c - 887*c - 2662*c.\nAnswer: -5711*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 32*u - 24. Let x(w) be the second derivative of -5\/4*w**u - 5*w**2 + 0 - 9*w + 1\/6*w**6 + 25\/6*w**3 - 1\/4*w**5. Factor x(o).\nAnswer: 5*(o - 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + (4 - 5 - (0 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -90, -239, -496, -891, -1454?\n\"Answer: -5*t**3 - 9*t**2 - 9*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2723*d - 2349. What are the prime factors of z(-11)?\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*c + 330, -n - 3*c - 190 + 520 = 0. What are the prime factors of n?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5136 is divided by 77.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r - 1. Let j(h) = -5*h**2 + 10*h + 10. Let v(l) = -j(l) - 10*z(l). Let n(o) = 29*o + 38*o - 93*o + 28*o + 3. Give n(v(f)).\nAnswer: -10*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let x(i) = -i. Determine -6*k(f) + 2*x(f).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*(sqrt(34) + (sqrt(34) - (sqrt(34) + (sqrt(170)*1)\/sqrt(5)))))\/(sqrt(162)*-1*5)*-6*3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -z + 4*z. Let g = 20 - z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1617945?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -499\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -4 - -2 - 45. Let c = 55 + m. Solve f = 3*v + c, -2*v + 5*f - 32 = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.89 - 14.89. Let b(d) = -d**2 + 2*d + 2. Let y be b(3). What is the closest to y in -1\/7, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3\/7 - 128*g**2\/7 - 230*g\/7.\nAnswer: 2*g*(g - 23)*(3*g + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:48 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*u - 10 = 377*u + 9*r, -u = -r - 10 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7188831 - 1075\nAnswer: -7189906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 72819.\nAnswer: -2\/72819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 53. Suppose r = 9*j - 6*j. Factor 1\/2*a**j - 1\/4*a**5 - 1\/4 - 1\/4*a**4 - 1\/4*a + 1\/2*a**2.\nAnswer: -(a - 1)**2*(a + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 10 = -8. Suppose 39 = 2*b - d*m, 0 - 16 = -b - 2*m. What is the least common multiple of 14 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310340922 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -22, -0.2, -164, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 1980 - 996 = 0. Let a = 607 - b. List the prime factors of a.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.028 - -36.172. Let f = l + -31. Round f to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 2*i - 6, 2*x + 10 = -3*i. Let u be (-19 + -1)*1\/x. Solve 0 = 3*r, 4*r = -l + u - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 907*r**2. Let z(x) = 11*x**2 + 51*x + 34. Let o(c) = -3*c**2 - 12*c - 8. Let l(n) = 17*o(n) + 4*z(n). Give l(d(g)).\nAnswer: -5758543*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855827 is divided by 143?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*b - 1039594 = 105*b + 3*d, 4*d + 259892 = -b. What is b rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2389682 - -4?\nAnswer: 4.2389682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 7*s - 5. Let t(z) = -z**3 - z**2 - 5*z - 4. Let g be t(-3). Suppose 2*y + g = 11. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -66. Suppose p*j - 98 = 18*j. Find the second derivative of -w - 47*w**3 - j*w + 92*w wrt w.\nAnswer: -282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 10*r**2 - 2*r - 7. Let m = 24 + -34. What are the prime factors of h(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151 (base 9) in base 11?\nAnswer: -709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1721 + 1763. Calculate the remainder when 920 is divided by j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l + 1. Let h(s) = 16*s - 1. What is -5*h(i) - 7*m(i)?\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*r = -193*r - 1477. Is r less than 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -259? (a) -0.3 (b) -3 (c) -0.2 (d) 26\/3 (e) -273\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 19474*i - 754922. Give w(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from zljzjjjzzzlzjzz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyxxyxyxxx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*h = -7, -5*y + 5*h + 2 + 18 = 0. Let j(l) = -l**3 + 6*l**2 - 4*l + 2. Let r be j(y). What are the prime factors of r - 1\/(-2 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1201 divide 21406624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w + 809. Determine b(36).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -353 (base 6) to base 7\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111029714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 25 = 2*q, -2*q - 285*t + 281*t = 26 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 1. Let q(w) = -3214*w + 8*w**2 + 12 + 3214*w - 2*w**3. Determine 10*h(g) + q(g).\nAnswer: -2*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 - 166. What is the remainder when 83 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 348. What is the remainder when y is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23368593 + 5?\nAnswer: -23368589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g = 77*g - 25*g - 280 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 130 = 3*l + 164, 0 = -7*l - 0*l + 35*x - 30*x - 484 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.19 (b) -3\/2 (c) 7500 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + -2)**2 + 1 + sqrt(19)*-3.\nAnswer: -5*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3314528 to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, 250, 0, 3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 5*s**5 - 3*s**5 + (1 + s**2 - 1)*(-2*s + 2*s + 2*s**3) + (4 - 2*s - 4)*(-2*s**4 + 3*s**4 + 4*s**4) - 2*s**3 - 2*s**5 + 2*s**3 - 4*s + 4*s - s**5.\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 14) in base 12?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in -5\/2, -4, -23, -147, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/13 - 102*u**2\/13 + 438912*u\/13 + 87091200\/13 = 0.\nAnswer: -288, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.141937254 rounded to 3 decimal places?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 184*x**2 + 4*x + 184.\nAnswer: -4*(x - 1)*(x + 1)*(x + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 x, and 1 p when four letters picked without replacement from {p: 2, x: 8, u: 1, s: 4}?\nAnswer: 32\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -21 + 2*1\/(-2). Let f = -10 - k. Let c be 358\/6 - (-2)\/6. What is the highest common divisor of f and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 2\/9*l**2 + 4*l + 0 + 1\/9*l**3 + 1\/54*l**4. Factor i(f).\nAnswer: 2*(f + 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j - 6125 = -76*j. Solve x + j = 182 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3 + (3 - 4 + 0)*(-1 - 2 + 2) + 29 + 7 - 21)*(-42*q + 40*q + 40*q)*(1 + 4 - 7) - 10*q - 4*q - q as c*q + w and give c.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1816399 and 0.5?\nAnswer: 908199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1018342, -2036732, -3055108, -4073464, -5091794, -6110092?\n\"Answer: l**3 + l**2 - 1018400*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.253 and 485296197.\nAnswer: 485296199.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1 + 3 = 0. Let z(d) = 3*d**3 + d**2 + 2*d - 2. Is z(c) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7147588*t**4*z + 4*t**3 - t*z - 20272*z + 1330 wrt t?\nAnswer: 28590352*t**3*z + 12*t**2 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s + 35. Let g(u) = 6*u - 23. Calculate 8*g(i) + 5*o(i).\nAnswer: 8*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005399419 rounded to seven decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 175*f**2 + 530*f + 15 = 0?\nAnswer: -3, -1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4 + 2 = -2*o, -40 = 4*o - 4*c. Let f = 2 + o. Let a = -0.5 + 0.5. Sort a, -0.4, f.\nAnswer: f, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-258 + 94 - 97)*(46*f**4 + 28*f**4 - 34*f**4) as h*f + z + g*f**4 + r*f**3 + u*f**2 and give g.\nAnswer: -10440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*a + 70*a = -60. Does 14 divide 12\/(-30) - (-3)\/(a\/884)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w\/(w**17\/w))\/w*w*w*w)\/w)**(4\/13))**(-1\/3))**9)**(2\/69) assuming w is positive.\nAnswer: w**(112\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -24, -36, -54, -78, -108, -144?\n\"Answer: -3*g**2 + 3*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3)*(2 + 2 + 1)*(2 - 1 - 3)*(-2*v + 0*v - v) to b + n*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29685 and 15705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 0*w + 2*w)*(2*w + 0 + 0) + (-2 + 14*w + 2)*(-w + 0*w - 2*w) + 0*w**2 - 2*w**2 + 4*w**2 as p*w**2 + s + z*w and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 13*g - 37. Let b be r(-10). Let j be (b - -4)\/(2\/6). Let f be 60\/j*(14\/(-5) - -1). Sort f, 0, 5 in descending order.\nAnswer: f, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.9 + 15. Let u = -2.38 - 0.62. Let g = 257\/5 + -2323\/45. What is the biggest value in g, p, 0.19, u?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 10, -2*q + 72 = -5*k - 43. Let d be 26\/30 - (-6)\/q. Let p be (d + 2)*(-6)\/6. Is p >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1598\/51 + -24 - 12\/(-2 - -4). Determine t so that 0 + b*t + 2\/3*t**3 + 2*t**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {e: 7, p: 6, n: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:46 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/3)*z\/(z*z*(z*z\/z**(3\/8))\/z*z)*(z\/z**(-1)*z)**(-2\/111) assuming z is positive.\nAnswer: z**(-2971\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2343*l**2 - 1165*l**2 - 1150*l**2.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**6\/3 - 3*o**2 - 3*o. Find the first derivative of r(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**3\/w)\/w))**(10\/9)*w**5\/w**(-1\/22) assuming w is positive.\nAnswer: w**(111\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1862\/56 + -17 - 17)\/((-22)\/16)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -70.71. Let m = c + 0.71. Let a = -2 + m. What is the nearest to 0 in a, -5\/4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1021 + 1021. What is the nearest to 0 in 2, 36, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4911? (a) 45 (b) -4 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*x + 2. Suppose -131*p + 903 + 2615 = -150. Solve p = 5*a + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087 = 96*l + 431 + 1322 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9368418*c*z**2 + 16781113*z**2 with respect to c.\nAnswer: -9368418*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001985 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(3\/10))**(1\/47)*(t*(t\/(t*t**(-1)))\/t*t)**(-4\/19)*(t\/t**(-1)*t)**(-1\/3) assuming t is positive.\nAnswer: t**(-31668\/22325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 447945 smaller than 447944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -584, -596, -610, -626, -644, -664?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - c**4 - c**4 + (-c - 3 + 3)*(3*c - 3*c - 2*c**3) + 10*c**4 - 6*c**4 - 13*c**4 - c**4 + 3*c**4 - 3*c**4.\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 1017 = -1077 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6900, -14296, -22190, -30582, -39472?\n\"Answer: -249*b**2 - 6649*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -48. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9683 and -39607.\nAnswer: -29924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 320 (b) 5 (c) -2\/33 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 40032*k**3 - 3*k + 13 + 40033*k**3.\nAnswer: k**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382555980.\nAnswer: 2, 3, 5, 708437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l - 13. What is the remainder when v(-6) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110100101010100100010001?\nAnswer: -110100101010100100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -44192089689.\nAnswer: -44192089688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71 + -72?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2819146*f**3 - 71625475.\nAnswer: -8457438*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1607.26 years to millennia.\nAnswer: 1.60726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 - 187. Let d = r + 5. Solve d = z + 2*c - 8, 0*z - 3*z - c + 9 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020411 (base 5) in base 6?\nAnswer: -210341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7698672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1590639271 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-4 - -3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, -3, 3, -2.\nAnswer: -3, -2, 3, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -25, -5091, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85067 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5462821 millilitres to litres.\nAnswer: 0.0005462821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264540 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) + (12 - 10). Suppose f - 5*o + 1 = -0*o, 4*f + 21 = u*o. Which is smaller: f or -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -13 in increasing order.\nAnswer: -13, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/981736 and -25\/36554.\nAnswer: 6872152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-8010)\/(-2010) + -48.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, p: 8, c: 1}. Give prob of picking 2 n.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-7) + -6 + (-24004)\/(-28)?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g = 54 + 114. Solve -4*f = -5*x - 16, 3*f - 12 = -g*x + 5*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:01 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1282 + -1281. Calculate the greatest common divisor of s and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millisecond in microseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -48, -50, -54?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y**4 - 17*y**4 + 23*y**3 + y**2 - 2*y + y to the form d*y**4 + g*y**2 + a + n*y + v*y**3 and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3344\/(-224) + 5\/(-140)*2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -207, -303, -425, -585, -795, -1067, -1413?\n\"Answer: -2*o**3 - o**2 - 79*o - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6128*d + 1624056. Determine n(-265).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -1 + 0*k**2 + 5\/3*k**3 + 0*k. Let l(m) be the third derivative of m**5\/30 - 10*m**2. Determine f(l(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156274?\nAnswer: 2, 78137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose 5*r + q - 10 = -4*q, 0 = -r - 2*q. What is the second biggest value in i, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156363 and 260605.\nAnswer: 781815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmtmmmmmmtmmttmmm. Give prob of sequence tttt.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 3*u**2 + 7*u**2 as n*u + t + s*u**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/513 - 3707\/19. Let q = s + 194. Which is the smallest value? (a) q (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*s - 2614, -3*i - 7*s + 2*s = 2618. Let j = i - -3387. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 528 + 3?\nAnswer: 52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11111001000 (base 2) to base 10\nAnswer: -1992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4274 + 1518 - 5860 = -2*m. List the prime factors of m.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/33 (c) -2\/3 (d) -3\/2 (e) -4 (f) 0.07 (g) -4\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 208 = 33*l. Suppose 4*m + 3*d - 155 = 0, 0 = -l*d + 8*d - 3. Calculate the remainder when 149 is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(1256 - 20 + 391)*(-6*n**2 + 4*n**2 + n**2 + (-n**2 + 3*n**2 - 4*n**2)*(-1 - 1 + 0)).\nAnswer: 9762*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -14. Put -1, -4, u in decreasing order.\nAnswer: -1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/5 + 13*l**4\/12 - 3*l**3\/2 - 3*l**2 - 21*l. Let k be m(7). What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70678 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 6. Let l be d(6). Sort -1, l, 3 in descending order.\nAnswer: 3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - 2*l + l + 2*l - l + (-2 - 4 + 3)*(l - 2*l + 3*l))*(0*l**2 - 2*l**2 + 4*l**2 + (0*l - 4*l + 3*l)*(-2*l - 3*l + 4*l)).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1619289 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1 - 5. Let l = f - 12. What are the prime factors of 1\/((-3)\/l) + 12?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023 (base 6) to base 3.\nAnswer: -121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -52*l**2 + 1974*l + 6499. Calculate b(41).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 13 = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/21*238\/306?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 36*c - 4. Let q(s) = -3*s**2 + 24*s + 3. Let i(d) = -5*l(d) - 8*q(d). Let a be i(-11). Suppose a*u - 9*u + 4 = 0. Solve -u*t = -7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 - 171. Calculate the remainder when 139 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6397898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.578 - -6.5. Let s = 8552.922 - 8553. Let i = d - s. What is the second smallest value in 0.1, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13509299 divided by 3.\nAnswer: 13509299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 6)*(-4 - 4 + 6 + (3 - 1 - 3)*(0 - 1 + 0))*(-19 - 65*o + 19)*(-4*o + 5*o + 1 + o) in the form n*o + z*o**2 + u and give z.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.18009 - 0.184063. What is b rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 + l + 1. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 33 = -v, 7*v + 36 = 4*a + 3*v. Let z be 2\/12 - (-1313)\/a. Suppose -o + 434 = o + 2*x, o + 3*x - z = 0. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by (21\/2)\/(24\/112)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-20)\/n**(-3\/16)*n**(2\/9)\/n*(n\/(n\/n**(1\/13)))\/n assuming n is positive.\nAnswer: n**(-40273\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (14 - (25 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1057, 1058, 1059, 1060, 1061?\n\"Answer: q + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b - 2. Suppose -4*d - f - 16 = 0, 5*d + 2*f - 3*f + 11 = 0. Let s be w(d). Suppose 0 = 5*x - r - 780, -s*x + 0*x = -r - 625. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1667 divided by 277.\nAnswer: 1667\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + v = w - 7, 4*v = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 1137*b**2 - 51961*b + 3540. Calculate h(-1181).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, k: 3, u: 3, t: 2, y: 1, r: 1}. What is prob of sequence ueu?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2850\/5)\/(-3))\/((-3)\/6). Suppose -8*w - m = -4*w. Let h = 87 + w. Let k(u) = u + 7. Calculate k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280.9 + 266. Let q = 15.3 + v. What is the nearest to -2\/5 in -2\/3, -6, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 9*p - 43. Is g(7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 2029466?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8325, -88, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 93435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 758, 1232, 1606, 1874, 2030, 2068, 1982?\n\"Answer: -c**3 - 44*c**2 + 613*c + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75455456 to the power of 1\/2, to the nearest integer?\nAnswer: 8687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + n - 542 = 128, 2*n = -4. Suppose -j + h = j. Let x(d) = 12*d. Let c be x(1). Calculate the highest common divisor of c and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862757 is divided by 82?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 5*s + 55, -4*s = -3*p + 2. Let x(f) = -10*f - 16. Let g(w) = 10*w + 15. Let d(z) = p*g(z) - 5*x(z). Differentiate d(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 70*a - 1. Let z be (7 - 6) + -1 + -3 + 0. Let r(n) = -n - 1. Let k be r(z). What is the tens digit of q(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - m + 1130. Let t be g(0). Let w = t - 642. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 6. Let z(w) = -w + 15. Let f(b) = 5*r(b) + 2*z(b). Let c(o) = -6*o - 2. What is c(f(a))?\nAnswer: -18*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/12 - 1\/(-4). Suppose y = 3*t - t - 24. Is 4 a factor of ((-2)\/3)\/((-2)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 0)*-1*1.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-231)\/(-14)*16\/12. Suppose 0 = -w - 5*z + 27 + i, 5*z = -3*w + 127. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21498598.\nAnswer: 2, 11, 977209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 10. Let u = -6.96 - y. Let z = -0.06 - u. What is the closest to -1\/2 in 4, 1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i**2 + 11. Let d(c) be the first derivative of -2*c**3 - 5*c - 15. Calculate -9*d(a) - 4*f(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from {v: 4, i: 3, p: 6}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -131. What is the remainder when 19 is divided by 0 + 2 + 0 + t + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*k = 4, 3*k + 9 + 2 = 2*i. Let p = i - -2. Suppose -w + 0 + 10 = p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 0 + 2*w**2 - 1\/12*w**4 + 0*w**3 + 0*w. Let o(r) be the first derivative of r**3\/3 - 6. Determine i(o(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6237 and 33627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 13*y + 40. Let t be p(-9). What is the third derivative of 24*h**2 + 38*h**t + 27*h**2 - 17*h**2 + 0*h**2 wrt h?\nAnswer: 912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 7*b**2 + 9*b + 12. Let x be o(-8). Solve p**5 - p - x*p**5 - 2*p + 3*p**3 + 3*p**3 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 418, 415, 420, 439, 478, 543?\n\"Answer: y**3 - 2*y**2 - 4*y + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0282 + 1017.14353\nAnswer: 1017.17173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 2*y + 0*y - 5. Let u(m) = m - 4. Let i(l) = 6*u(l) - 5*v(l). Find the first derivative of i(r) wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -2994\/95?\nAnswer: -2994\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -190*s + 2. Let p be b(-1). Let r = 246 + p. Let f = 178 - r. Round f to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -54. Solve 3*v - 4*v = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368*c**3 + 5*c**2*u + 7*c*u + 5*u + 107677 wrt c.\nAnswer: 1104*c**2 + 10*c*u + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 11*t - 0. Sort 4, 1, t in descending order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/2 and 87\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22450132*a**3*z**4 + 1599*a**3*z - 3368*a*z wrt z.\nAnswer: -269401584*a**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -1\/55, 6, -1\/2.\nAnswer: -1\/2, -1\/55, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -2 (b) 0 (c) -1204 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 669929 = -169929. What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 380 = y + 4*o, 2*o - 350 = -3*y. Let v = y + -76. Calculate the greatest common divisor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6491 + -6488. What is the smallest common multiple of v and (-121)\/(-7) + (-2)\/7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -36*j**4 + 26*j**3 + 2302*j**2 - 1534*j + 254. Let q(s) = 72*s**4 - 53*s**3 - 4605*s**2 + 3067*s - 507. Let i(g) = 5*d(g) + 2*q(g). Solve i(x) = 0.\nAnswer: -8, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - 2?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (588\/(-686))\/(3\/(-35))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11694*y - 5727 + 166916 + 72691 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.42 - -0.92. Sort 0.2, j, 23 in decreasing order.\nAnswer: 23, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - c + 4*c + (-69 + 32 - 169)*(3*c + 3*c - 4*c) as n*c + u and give n.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.6094 to 2 dps.\nAnswer: -26.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36416392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3599\/225 - -336\/25. What is the common denominator of -51\/37 and i?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16101, -15857, -15613?\n\"Answer: 244*o - 16345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 5\/3 (b) -95 (c) 17283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-2*3)\/((sqrt(48)*2)\/sqrt(8)) + -4.\nAnswer: -3*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 81 = 2*q, 3*q - 4*q - 15 = -w. Calculate the greatest common factor of 51 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/20*(-4)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 208. Suppose 29*r + 12*r = -1968. Calculate the smallest common multiple of 2 and x(r).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1868 and -1869 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3 + 2*y**2 - 6 + 2*y to the form c*y**2 + k*y + x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.3 (b) 1\/7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 133*h**2. Let s(a) = -a**2 + 2*a - 4. Let k(n) = 2*n**2 - 3*n + 6. Let c(v) = 2*k(v) + 3*s(v). Give f(c(g)).\nAnswer: 133*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 4*w. Let d be g(-2). Let y(q) = q + 5. Calculate the least common multiple of y(d) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 850746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*n + 116 = 0, -4*n = 5*b - 43 - 42 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80527552 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 161091832 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4869*k**3 - 4929*k**3 - 4910*k**3 + 15047*k**3.\nAnswer: 339*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559.72 times -18?\nAnswer: -10074.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 957 and 0.213.\nAnswer: 203.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 13\/(-5)) + (-676)\/(-1665). Let b = i + 305\/4662. Put b, 1\/15, 1 in increasing order.\nAnswer: 1\/15, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80506*d**3 + 69943?\nAnswer: 241518*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 a when three letters picked without replacement from {e: 7, p: 2, a: 3}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -251140 + 35?\nAnswer: -251101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11260, 37438, 81068, 142150?\nAnswer: 220684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-7) - 3\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4065854 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -22 - (-14 - -9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*n + 5*o, 3*o = 30 - 15. Sort -1, -4, -5, n, 1 in descending order.\nAnswer: 1, -1, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 4 + -5 + -1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 2*h**4 - 3*h**2 - 5*h + 2*h + 0*h**2 as s*h + v*h**3 + q + a*h**2 + m*h**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*d + 1 - 64*d + 26*d to q*d + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**4\/24 - j**3\/6 - 3*j**2 - j. Let q(x) be the first derivative of v(x). Determine q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 328 = -5*l, 3*l + 315 - 114 = o. Let h = -43 - l. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -34292, 3, -4 in increasing order.\nAnswer: -34292, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3, -0.3, -5, -2\/151?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-378) + (-2)\/(-9). What is the second biggest value in g, 0, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**3 + 21*a**2 - 21*a**2)*((7*a + 12*a - 9*a)*(-3 - 5 + 3) - 3*a + 2*a + 3*a).\nAnswer: 288*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415741 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/38 + -23\/190. Let u be (-126)\/45*90\/(-63). Which is the fourth biggest value? (a) -0.1 (b) -0.043 (c) z (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g + 31*g**2 - 32*g**2 - 2*g + (621 - 621 - 80*g)*(-1 + 1 + 2*g) to the form q*g + p + y*g**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 2*s**3 - s**3 + 6*s**2 + 10*s**2 to h*s**2 + q*s + w*s**3 + m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6501250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 - 1394*m**3 - 4164*m**2.\nAnswer: -2*m**2*(m + 3)*(m + 694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/3637 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853 + 1278 + 1725 = 430*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/20 - j**3\/15 + 8*j**2\/5 + 16*j\/5 - 170. Let t(b) = 0. Calculate b.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14178996 and 3393.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 6*z - 4. Let a be 0 + (7 - (4 - 1)). Determine i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2903 + 0.7903. Which is greater: k or -1\/39?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-84)*(-189)\/(-45)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -123b1 (base 12) in base 14?\nAnswer: -9045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Suppose -8*y + 110 = -402. Suppose b - 60 = -4*k, -3*k + i*b = -b - y. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(2\/31)*r*r\/(r*r**(-24)) assuming r is positive.\nAnswer: r**(835\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66335677657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 33. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/j**(-2)))\/j*j)\/j**(8\/7)*j**(3\/10)*j\/j**(-16)*j)**(-32) assuming j is positive.\nAnswer: j**(-18096\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 6*r + 40. Let i be l(-7). Let u = i - 41. Calculate the remainder when u is divided by -2 - 5\/(-1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let f(m) = 284*m - 284. Let x(r) = 1. Let b(y) = -f(y) - 284*x(y). Give p(b(g)).\nAnswer: -80656*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = 6*m. Let j(f) = 59*f - 87. Let l be j(-27). Let a be (-2)\/(-7)*l\/270. Is a <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 greater than or equal to 3.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 386*i + 6. What is k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4227.07 weeks in hours?\nAnswer: 710147.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 138 = 486. What is the remainder when y is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 - 2.2. What is the smallest value in 2\/3, v, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1130*z**2 - 1070 with respect to z.\nAnswer: 2260*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 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: Let w be (1 - -1)\/(5\/20). Let r(k) = -4*k**2 + 8 + 2*k**2 - w. Let x(j) be the second derivative of -j**4\/3 + 2*j. Determine r(x(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 - 8*o**4 + 10*o - 8*o**3 + 14*o**5 - 23*o**5 + 0*o**2 + 4 + 7*o**5 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8546089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g**2 - 4*g + 6. Let t be i(-5). Let x = -7877\/239316 + -9\/1813. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.427355g to micrograms.\nAnswer: 427355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-12) - 2\/(-12) - -3. Suppose y*v = -5*a + 135, 99 = -2*a + 7*a - 4*v. Solve -l = -3*p + 19 - 6, -l + 5*p = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/120 - h**5\/20 + h**4\/8 - 2*h**3\/3 + 4*h**2 - 12. Let t be (-1 - 1 - 7) + (0 - -5). What is x(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6542094 * 9.\nAnswer: 58878846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 30, 80, 170, 312, 518, 800, 1170?\n\"Answer: 2*d**3 + 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 - 414. Does w = -41\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 18\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + u**2 + 2*u**2 + (u + 0*u - 3*u)*(-85*u + 142*u + 41*u).\nAnswer: -194*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1664 and 4160?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*-4)\/sqrt(4)*2)\/(5*(sqrt(600) + 4*sqrt(600)*6)).\nAnswer: -24*sqrt(2)\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2912617*o + 2912614*o = -12, -9*o = -y - 33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-12)\/(-2 - 0). Let q be (v\/(-12))\/((-3)\/(-99)). Let r = q + -8. What is the remainder when 53 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 69 = 22. Suppose -91 = -3*d + p - 27, -2*p + 10 = 0. What is the remainder when d is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52621*t**4 + 59*t**2 - 3.\nAnswer: -1262904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 3*q - 7. Let n(u) = u**2 - 2*u + 7. Calculate -4*h(x) - 5*n(x).\nAnswer: -x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*h + 454*h + 461*h - 1363*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2003, -3, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*n - 13, -2*n + 10 = 2*z - 0*z. Suppose -w + 3*w - 3*r + n = 0, 5 = -5*w + 3*r. Let p be 2\/1*w\/5. Is -1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 146 = 5*i. Let j = i - 17. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28755*n**5 + 28*n**4 - 5*n**2 - 3*n - 15094489?\nAnswer: 575100*n**3 + 336*n**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39964, 39942, 39920, 39898, 39876?\nAnswer: 39854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*x + 138*x - 1114 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 362202*x\/5 + 5794464\/5.\nAnswer: 3*(x + 16)*(x + 120718)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -3c07?\nAnswer: 3c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = g - 5*y + 2*y, 0 = -2*g - 4*y + 106. Calculate the lowest common multiple of 3 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 72 = g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 2*-5*(-12)\/(-60). Solve -3*y = -a*n, 0 = -3*n + 57*y - 60*y + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-130))\/((-20)\/(800\/(-30))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -150654*u - 753276. Give b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 126, -4, 34, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 47. Let h = -13862.32 - -13824. Let c = d - h. Round c to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 13013\/292?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) -3\/14 (c) -7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*t**3 + 0*t**2 - 84*t**2 - 1323 + 59*t**2 - 40*t**3 wrt t.\nAnswer: -174*t**2 - 50*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-75))\/(2*3*2\/90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/(2\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.110933 milligrams to grams.\nAnswer: 0.004110933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 3*b - 14*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 12\/(-54) - 443\/(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2 - 104*y - 1853. List the prime factors of z(-15).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14187334 divided by 9?\nAnswer: 14187334\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 6 = 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.3 (c) -1 (d) -214 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unnxnuxunxnunau. Give prob of sequence uxn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -129. Solve 0 = 3*r + 3, 2*l - 4*r = i*l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2400.4 * 0.2\nAnswer: -480.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ddd (base 15) in base 2?\nAnswer: -10011010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q - 16. Give o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 4)**2 + 2.\nAnswer: 72*sqrt(5) + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70404430*z**4 - 152*z**2 + 41488*z wrt z?\nAnswer: -1689706320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14 = 5*j, 5*s - 27 = -4*j + j. Let o be 24\/(-45)*(-6)\/8. Let o*t**2 - 2\/5*t + 0 - 2\/5*t**j + 2\/5*t**3 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14661908 divided by -6?\nAnswer: -7330954\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4453, 8856, 13259, 17662, 22065, 26468?\n\"Answer: 4403*o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(10 + 18*c**2 - 13*c**2 - 2*c - 12*c**2).\nAnswer: 28*c**2 + 8*c - 40","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = l - 14, 0 = -4*c - l + 11. Suppose -4 + 0 = -4*i + 4*q, 13 = 5*i + c*q. Let d(v) = -5*v**2 + 17*v**2 + 8*v**i. Let a(t) = 2*t. Give a(d(f)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687185 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + f + 136 - 277 = -140, -11*n + 4*f = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 11*g + 11. Suppose 3*b - 3 = -12. Let s be -14 + (3\/b + 0)*-4. Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 7*m**3\/6 + 21*m + 9. Give t(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 29364?\nAnswer: -5\/4894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74251*p**2 + 78546*p - 1.\nAnswer: 148502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10162 - 3387 + 4*w - w**3 + 3*w**2 - 3389 - 3391. Calculate a(-4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.02 - 8.98. Sort -0.3, -1\/13, g in decreasing order.\nAnswer: -1\/13, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1374323014 - 1374322647.9999005. Let a = g - 366. What is a rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -1. Let g = v + 11. Solve 10 + 10 = -g*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0991093051089 + 0.1.\nAnswer: 0.1991093051089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5594 - 1149.9594. What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210996 is divided by 257?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 19. Let b be v(-15). Let m = b + 139. Suppose 3*i = i + m. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 317*u**2 + 2*u - 5. Let d(b) = -49*b**2 - b. Let t(c) = -7*d(c) - l(c). Calculate t(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 145, 144, 143, 142, 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, j: 15}. What is prob of sequence jjj?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/45*(-2 + -4). Which is smaller: 20 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:30 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/(-48))\/((-3)\/(-12)). Let l = 6 + -8. Which is the closest to -2? (a) 2 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 2*n - 62 + 33.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 + 1 + 0 - 3 - 9*i + 2*i**2 + 0 to the form l*i + q*i**3 + p + j*i**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*y + 779*y = 7623 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8*m + 3*m = -10, t - 13 = -2*m. Let c be (-5)\/t - 10\/(-2). Suppose -4*k - 10 = -s, -4*k - 75 = -c*s - 23. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/39)\/5)\/((-24)\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -67, 1177 in ascending order.\nAnswer: -67, -4, 1177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 - w. Let q(u) = -4*u - 7*u**2 + 2*u - 1033*u**3 + 1054*u**3. Let a(j) = -2*f(j) + q(j). What is the third derivative of a(m) wrt m?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/615 - ((-137496)\/(-5412) + -24)?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -85*a + 4. Let o(v) = 727297*v. Calculate o(p(y)).\nAnswer: -61820245*y + 2909188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -564 bigger than -577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10342 - 12?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1826 less than -1826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739?\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5, 5*f + 3 = 5*k - 32. Determine l, given that -16\/7*l**2 - k*l - 6\/7*l**3 - 4\/7 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j*y**3 + 100*j*y**2 - 12*j*y + 392031*y**3 + 160*y**2 - 2*y + 1 wrt y?\nAnswer: -72*j + 2352186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3\/2*o**2 - 41*o - 109 - 60*o**5 + 0*o**3 + 0*o**4. What is the second derivative of b(i) wrt i?\nAnswer: -3600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 19*j**2 + 18*j - 4. Let q(k) = -k**2 - k + 1. Let u(a) = h(a) + 4*q(a). Find the second derivative of u(n) wrt n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -59*z**3 + 12*z + 486. Let f(o) = -118*o**3 + 21*o + 972. Let l(m) = -4*f(m) + 7*i(m). What is the derivative of l(q) wrt q?\nAnswer: 177*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1095 divide 188019165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5648)\/10 + 204\/(-170). Let b = 571 + o. Let u = 7.3 + -7. What is the third smallest value in u, 4, 2, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q. Suppose -2*d + 39 = -89. Let l(k) = 64 + 2*k**2 - d. What is l(n(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5*o**2 - 3\/5*o**3 + 36\/5 + 3\/5*o.\nAnswer: -3*(o - 1)*(o + 1)*(o + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -5) + -2 + -1. Let i(m) = 10*m - 25. Let g be i(t). What is the third derivative of 22*r**2 + r**g + 12*r**5 - 9*r**2 wrt r?\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9462, 18956, 28450?\n\"Answer: 9494*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1139805\/1011231341 + -95609101794400207\/2594733666342015. Let x = 2\/233265 + s. Let u = -110\/3 - x. Which is the closest to -2? (a) u (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 23) + (-3 - -6) + 0 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**2)\/h)**(-18) assuming h is positive.\nAnswer: h**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 56*z**2 + 166*z - 4. Let k be m(-3). Let i = 71 - 47. Suppose -3*d + 7 = -4*g, 2*d = 4*d - 2*g - 6. Solve k*v - 4*v - 5 = -3*s, -4*s - i = d*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21532471 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, e: 7, b: 2}. What is prob of picking 1 e and 2 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830 - 666 + 1496 - 4*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 + 1. Suppose -402 = 5*d - 2132. Let z(r) = -6*r + 35*r + 346 - d. Give o(z(s)).\nAnswer: -841*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034359 to seven decimal places.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(112) - sqrt(7)) + 2 + (sqrt(252) + sqrt(28) - sqrt(28)).\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3532039987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.374813 micrometers?\nAnswer: 0.004374813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 936, 945, 960, 981, 1008, 1041?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, j: 3, r: 2}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 3 - (-61 - (-25 - 45)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2779794 and 5446.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**3\/4 + 183361*i**2\/2 + 8406139144*i + 151280801568 = 0.\nAnswer: -183352, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/42 and 61\/1000272.\nAnswer: 1000272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 3. Let u be b(-11). What is the common denominator of (5\/4 + -1)\/((-3)\/u) and 5\/872?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7*x)\/x*x*(x*x\/x**14)\/x*(x\/(x\/x**21*x))**24)**(6\/5) assuming x is positive.\nAnswer: x**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 2, b: 5, x: 2, d: 6, k: 1}. What is prob of picking 1 x and 1 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 191*q - 4. Let i(h) = 9*h - 20. Let l be i(4). Let n be ((-1)\/(-2))\/(8\/l). List the prime factors of d(n).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.1 (b) 6\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898662747146 less than -9?\nAnswer: -2898662747155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/2 - 723*a**4\/2 - 657*a**3\/2 + 46867*a**2\/2 - 22743*a = 0.\nAnswer: -722, -9, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-13)\/(-78))\/((-8)\/(-296)) + -14?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 293320570 + -88.\nAnswer: 293320482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1*3)\/((-2)\/2). Let m(f) = -2*f + 5. Let r be m(c). Let q(n) = 9*n + 1. Calculate q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1447\/350 - 45\/14. Calculate the common denominator of s and 9\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10)*5\/2. Solve -3*t + 5*r + 7 + o = 0, -t - 3*r = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49875 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*((n**(-1\/3)*n)\/n)\/n*n)))\/n*n*n*n**(-3\/2))\/((n*n**(-1))\/(n\/(n**(2\/13)\/n))))**(17\/5) assuming n is positive.\nAnswer: n**(2669\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = 3*r. Suppose 6*f = r*f + 72. Suppose k + 3*k - 4*j - f = 0, 4*k - 15 = -5*j. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 14300133042?\nAnswer: -14300133041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - j. Let m be k(-1). Suppose -5*d + 13 = b, b - 11 = d - m*d. Suppose 84 = 4*q + 4*c, b*q - 3*c - c = 56. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 3, n: 4, q: 2, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 17461 = -3*p, 2*y - 1 = 3*y. Let r(g) = -15*g**2 + 3*g + 67. Let u be r(-16). Let z = u - p. What is z rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2\/9 - 10280*f\/9 - 3428\/3 = 0. What is f?\nAnswer: -1, 2571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let z = 1.29 + 0.01. Let r = -1.1 + z. Sort b, r, -5 in increasing order.\nAnswer: -5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 1, d: 3, f: 1, w: 6}. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 821449 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(20\/(-120)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-9) + 10\/15. Let i be (4\/(-10))\/(1\/y). Is (4\/i + -107)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.05, 0, -13143, 94, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/3)*r**6 assuming r is positive.\nAnswer: r**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -68. Let d = x - 30. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*q + 20*q - 4*q to the form f + g*q and give g.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Let k be (r\/(-4))\/((-1)\/(-2)). Which is bigger: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 78282*w**3 - 4*w**2 + 6*w - 8. Let u be c(4). What is u rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 5*k**4\/24 + 5*k**3\/6 + k**2. Let n = 65 + -64. Let a(s) = -s - 1. Calculate n*o(x) + 6*a(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4*v**3 + 23753*j**4 - 200*v**3 + 18*v**2 wrt j.\nAnswer: -4*j**3*v**3 + 95012*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 583853776 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 9}. What is prob of sequence eeeh?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -21*l**2\/2 - 146. Let r(m) = -11*m**2. Calculate r(k(y)).\nAnswer: -4851*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 4*m**3\/3 - m. Let u(b) = -38*b + 110*b - 37*b - 33*b. Give u(n(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*x - 19 = 0, 2*x - 39 = -p - 25 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*p + 5*p - 20, 2*d + 4*p - 16 = 0. Suppose 0*b + b - 3 = d. Suppose b*k - 2 = 5*z + 6, -k + 4*z = 2. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 1495, 3564, 6461?\nAnswer: 10186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -144*s + 65*s + 91*s. Let i = -1 + 6. Let w(r) = i*r - 3*r - 3*r. Give w(c(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + 49\/14)*-56. Let k = -235 - u. What are the prime factors of k?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*u**2 - 2*u**2 + 6*u + 2*u**2 - 8*u**5 wrt u?\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/2 + 61*q**4\/2 + 1083*q**3\/2 + 1795*q**2\/2 - 40750*q - 150000 = 0.\nAnswer: -25, -15, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 53869.02*-0.5\nAnswer: -26934.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + x + 1 = 2*x, 4*x + 8 = 0. Suppose w*u - 50 = 5*k, u - 8 = 4*k + 5*u. Let f(n) = n + 3. Let j be f(k). Sort j, -3, -2.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/33*19580\/(-17800)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 9*g + 10 = 0. Let c(h) = 47*h + 25. Does 22 divide c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 105166.\nAnswer: 105171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 - h + 6. Let g be n(0). Let w = -5 + g. Is 1 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11916, -14741, -19450, -26043?\n\"Answer: -942*y**2 + y - 10975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b - 188. Give l(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -106070420587.\nAnswer: -106070420586.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 2*i - 2*i. Let m(a) = 0 + 0 + 4*a**2. Let o = 17520 - 17522. What is o*m(t) - 3*h(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 416, 619, 820, 1019, 1216?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 568580*z**3 - 3*z**2 + z + 4616 wrt z?\nAnswer: 3411480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 7*w - 4. Let p be (-1)\/(-1)*6 - 3. Let n(r) = -2 - r - r**p - 5*r + 2*r - r**3. Calculate -4*j(s) + 7*n(s).\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1353, -2723, -4111, -5517, -6941, -8383?\n\"Answer: -9*f**2 - 1343*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x - 5. Let v be p(-6). Let d be 108\/10 - v\/25. Are d and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - (-612)\/(-30). Let k be l\/5 + 54\/15. Which is the closest to k? (a) -2\/3 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19717141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - t + 2. Let c(m) = -m + 1. Let n be -1 - (-3 - (0 - 0)\/1). Calculate n*c(b) - g(b).\nAnswer: -5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 182871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1129794040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3954 times -0.09\nAnswer: 355.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k - 2 + 2)*(-1 + 1 + 2) + 3*k - 2*k + k)*(920 + 162 - 153).\nAnswer: -1858*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6784 (base 12) in base 5?\nAnswer: 331401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5807 or 1120630\/193?\nAnswer: 1120630\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:12 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:07 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 5*h**2 + 5*h + 5. Let a be o(6). Let w be (43 - 1) + 0 + a. Let z = -10 + w. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -300000 rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (-25 + 89) - -53?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192905142 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z + 19*z + 11*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1189 * -91\nAnswer: -108199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-16) - (-2241)\/(-498))*(610\/4)\/5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4\/3, 4, -1\/275 in descending order.\nAnswer: 4, 4\/3, 1\/2, -1\/275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2544)\/(-530))\/(12\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 113419 * -1.3\nAnswer: -147444.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 472, 1053, 1618, 2167?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*b, 0 = 3*y - 4*b - b - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**3\/3 + 33*s**2\/2 - 41*s. Let i(z) = z. Calculate i(q(g)).\nAnswer: 2*g + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/42 - y**6\/30 - y**5\/5 + y**4\/3 - 5*y + 6. Factor b(a).\nAnswer: a**2*(a - 2)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384319359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m**2 + 3. Let b = 5143 + -5142. Let l(c) = c**2 - 1. Give b*y(q) + 6*l(q).\nAnswer: -3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3156789626 + -0.535.\nAnswer: 3156789625.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - t + 1. Let d(g) = g**2. Determine 6*d(h) + w(h).\nAnswer: 3*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -618*a**4*f**3 + 883*a**4*f**2 - 25*a**2*f**3 - 21983*f**2 wrt a.\nAnswer: -14832*a*f**3 + 21192*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 87, 76, 51, 6, -65, -168, -309?\n\"Answer: -c**3 + 2*c**2 - 2*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -443076 + -130.1.\nAnswer: -443206.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5208*f**2 - 18751*f**2 - 6070*f**2 in the form l*f + v + c*f**2 and give c.\nAnswer: -30029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 786008 (base 12) to base 8\nAnswer: 7242210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g = 10. Let q be (68\/10)\/(1\/5). Suppose -6 = 2*l - q. What is the remainder when l is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 947000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363\/2*n**4 + 1518*n**3 + 96 + 1104*n + 3438*n**2.\nAnswer: 3*(n + 4)**2*(11*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(910\/3)\/7. Calculate the highest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -523, -1054, -1571, -2068, -2539, -2978?\n\"Answer: v**3 + v**2 - 541*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 6*c = -78. Suppose -5 = 3*q + 4*x + c, 3*q - 5*x = 5. Let w = q + 23. Calculate the highest common divisor of w and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -97 - 179. Let k = a - 87. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.37*86.\nAnswer: -3901.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2610, 5, -67, 28, -5 in descending order.\nAnswer: 2610, 28, 5, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z**2 - 30*z - 280. Calculate the remainder when l(10) is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6664 and -45\/1568.\nAnswer: 26656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -18. Let n = 0 - 2. Let u = n - q. Solve u = -4*v - v - 15, 4*i - 3*v - 9 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 17*f - 191. Let q be y(25). Suppose -3*h + 21 = q. What is the least common multiple of 195 and h?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 1214715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(1\/(-6))\/(140\/56). Which is the fourth smallest value? (a) 2\/7 (b) 2\/5 (c) p (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 12 + 0\/2. Solve 4*j + v = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 1. Let o = n + 8. Suppose 5*c - 8 - 4 = -r, -5*c - 48 = -o*r. Calculate the highest common factor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**3 - 1078*s**2 - 9456*s - 2048.\nAnswer: (s - 128)*(s + 8)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*c - 1 = 0, d - 3 = -c - 0. Suppose -2*j - 3 - 5 = -d*v, 4*v = -3*j + 37. Suppose -2*f - 20 = -v*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1430)\/4*16\/5. Let o = 5197 + -3466. Let j = o + w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135.075 + -0.075. Let s = -135.000069 + j. Round s to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4258, 8507, 12756, 17005, 21254, 25503?\nAnswer: 29752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 - i + 3. Suppose 0 = -l - 6*l + 7. What is the remainder when y(0) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19147.522 and -3314?\nAnswer: 22461.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 + 193 = 52*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455925834.\nAnswer: 2, 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1380\/115*(-2)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 1 - 26 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100575.4 + -100575. Let p = -39\/4 - -17\/2. What is the nearest to 0.1 in p, 4, w, 5\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 52*l - 1. What is q(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 - 4*z + 5. Let n be b(3). Let q = 83 - n. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {o: 2, v: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263465414.\nAnswer: 2, 7, 9521, 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111333234 (base 5) to base 3\nAnswer: 221012110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/((-6)\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/27851025 or -1?\nAnswer: 7\/27851025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155562 - -66736039\/429. Let j = -2\/33 - f. Let p = j - 25\/156. What is the common denominator of p and 41\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {o: 1, m: 2, j: 2, e: 4, k: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -146, -130, -100, -50, 26, 134?\n\"Answer: k**3 + k**2 + 6*k - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3049038 or 3049064?\nAnswer: 3049064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -1, -0.086 in ascending order.\nAnswer: -59, -1, -0.086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f + 141*f**2 + 49*f**2 - f**2.\nAnswer: 189*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 59. Let r be w(-18). Let j(h) = -2*h**2 + 11*h + 3. Let q be j(r). Calculate the greatest common divisor of q and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttwwtpwt. Give prob of sequence wpt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -181*n + 1. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l - 12*l + 9 - 20*l + 5*l. Let s be i(-18). Suppose 0 = -49*n + 46*n + s. What are the prime factors of n?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1257, 1254, 1241, 1212, 1161, 1082, 969, 816?\n\"Answer: -d**3 + d**2 + d + 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5) - ((-195)\/(-25) + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 - -336. What is the highest common factor of w and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4140 times 0.5?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1324 and 18.\nAnswer: 11916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34 and 8.381.\nAnswer: 42.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + sqrt(272) + -5*(sqrt(272) - (0 + sqrt(272)))**2.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2. Let u(j) = -j**2 + 2*j - 2*j - 2*j**2. What is u(f(m))?\nAnswer: -147*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 17*h - 22*h - 95 = 0, 0 = -4*j + 2*h - 52 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 2, f: 1, w: 1}. Give prob of picking 1 e and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127052409.\nAnswer: 3, 11, 3850073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1035\/18)\/(-23)*6\/(-9)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005214921 to six dps.\nAnswer: 0.000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44618, 178497, 401628, 714011?\nAnswer: 1115646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.42 and -0.22.\nAnswer: 0.3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 102752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9. Let r = -3.89 - 0.11. What is the smallest value in m, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17289, -33263, -49237, -65211, -81185, -97159?\nAnswer: -113133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -499450, -499579, -499708, -499837, -499966, -500095?\n\"Answer: -129*l - 499321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 2*q + 2*q + 3*q + 0*q - q + (2*q + 0*q - 3*q)*(-2 - 4 + 5) - 2*q + q + 3*q + 0 + 0 - 2*q + 110*q - 115*q + 1451 - 1422.\nAnswer: -q + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 35.2. Suppose -2 = 2*w - 6. Sort w, -4\/7, l in increasing order.\nAnswer: -4\/7, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 27*t**2 - 5*t. Let y(a) = 690*a**2. Give j(y(n)).\nAnswer: 12854700*n**4 - 3450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77295 and 190661.\nAnswer: 2859915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*w + 36*w + 72 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18007562501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -498066, -996155, -1494244, -1992333?\n\"Answer: -498089*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000132192 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8487367 is divided by 8841.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 859 = -5*z, -c - 3*c + 354 = 2*z. Let f = z + -88. Suppose -3*d = 2*d - f. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 + -163. What is the biggest value in -4, f, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019344 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.62954936 rounded to 3 dps?\nAnswer: 11.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 52 - 1160*w**2 + 16 + 12.\nAnswer: -1160*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(3\/276). Let y be (w\/(-10))\/(2\/10). Is (y\/(-2))\/(3\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 4*n - 12. Suppose 10*p = 14*p. Suppose p*f = -11*f + 55. What are the prime factors of v(f)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-18)*w)\/(w**(-2\/15)*w*w))\/(w**(-3\/20)*w*w**16))**(-1) assuming w is positive.\nAnswer: w**(2143\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7095\/8 + 49681\/56. Which is the nearest to 2\/9? (a) -0.07 (b) -1\/3 (c) l (d) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75764 is divided by 14450.\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:51 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/25 + 2*x**2 - 94*x\/25 + 46\/25.\nAnswer: -2*(x - 23)*(x - 1)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1276 and -79\/36718?\nAnswer: 2129644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let m(i) = 363*i + 132. Let u(o) = 28*o + 10. Let b(d) = -5*m(d) + 66*u(d). Determine b(j(y)).\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 4) + -6 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2242971522 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348368, 696194, 1044020?\nAnswer: 1391846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y*y\/y**(2\/7))))\/(y**6*y*y))**(-5\/12)\/((y**(-1))**(-17)*y**(3\/2)*y**(6\/11)\/y) assuming y is positive.\nAnswer: y**(-1252\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(4)*4 + -1)*-2 - 5*(-5 + (sqrt(117))**2)*4)*-6.\nAnswer: 48*sqrt(13) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (-4 - 1))*-1. Let i(t) = 6*t**3 - 2*t**2 + 1. Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 39?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -38. Let v(r) = 157*r**3 + 4*r**2 - 2*r - 1. Is v(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3 + 7)*(6*p**5 + 35*p**5 + 16*p**5).\nAnswer: 627*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m - 3507 + 3483)*(5 - 13 + 3)*(1 + 2 - 1).\nAnswer: 50*m + 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.144 + 3.264. Let u = t + -2.12. What is the closest to 0.1 in -2\/29, 3, u?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.8 + -32. Let l = r - -11.033. Let t = 0.16842 + l. Round t to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86, -326, -706, -1214, -1838, -2566, -3386, -4286?\n\"Answer: 2*g**3 - 82*g**2 - 8*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3694 - 77572\/21. Which is greater: -0.24 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 10*s = -6, -3*p - 3*s + 250 = 235 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42000181.\nAnswer: 3989, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2164 divided by 3\nAnswer: -2164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y + 4\/3*y**2 + 2\/3*y**3 - 2*y**4 + 0.\nAnswer: -2*y**2*(y - 1)*(3*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49\/228 + -2\/57. Let t = 6100 - 6102. Which is the nearest to t? (a) 0.1 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1339 - -2230. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 11*b - 19. Suppose 4*d + 0*d - 28 = b*f, -5*d - 5*f = 0. Suppose 0 = i - 5*a - 1718, a + 4*a = d*i - 6917. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4330, -4335, -4340?\n\"Answer: -5*o - 4325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let x be l(0). Let w = x - -2. Let r(o) = -o**3 + o**2 - o + 1. What is r(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.12 (c) 2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 48*y**3 - 2*y + 1 + 5*y. Let k = 21 + -22. Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijqqjqqjjq. Give prob of picking 2 q and 2 j.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.703 - -11.703. What is the smallest value in -6, t, -10\/27?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 85*b - 125. Let v be p(41). What is the nearest to 6 in v, -0.5, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42\/5, 3\/4, -2\/585, 2, 250, -2 in descending order.\nAnswer: 250, 42\/5, 2, 3\/4, -2\/585, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453.341 rounded to the nearest 10?\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -19, -11, -3, 5?\n\"Answer: 8*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2749999 + (0\/(-10) - (-1)\/(-1)). Round h to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726642.4 nanoseconds to seconds.\nAnswer: 0.0007266424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-3)*b*b)\/b*b)\/(b\/(b\/(b**(1\/4)*b))*b)*(b**(-2\/5)*b)**(2\/3) assuming b is positive.\nAnswer: b**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*j**2 + 79*j**2 + 5*j**2 + 12*j**2.\nAnswer: 152*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81692*l = -81691*l + 5*v - 12 - 3 - 13, 5*l + 2 = -2*l - 2*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 5:47 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21600 divided by 60.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 - 12*m**4 + 3326*m**3 - 9408*m**2 - 51624*m - 38880 = 0?\nAnswer: -45, -2, -1, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 93817?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 369.368 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-22\/3)*y**(-3\/13)*y**37\/(y\/((y\/(y\/y**15))\/y)*y) assuming y is positive.\nAnswer: y**(1616\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -40080*u. Let x(n) = -11*n**2 - n. Give k(x(j)).\nAnswer: 440880*j**2 + 40080*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1918, 1919, 1920, 1921?\nAnswer: 1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/10 - 4*g**4\/3 - g**3\/2 + 5*g**2\/2 - 17*g. Let z be a(-8). Suppose -66 - z = -5*y. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 14*s + 15. Let f be w(-15). Put 1, f, -4 in increasing order.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 + 2654*v - 50078. Give t(18).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 + 35*s - 41. Give d(8).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 1791*w**2 + 32*w**2 - 8*w + w + 64*w**2.\nAnswer: 1887*w**2 - 7*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a + 4. Let v(k) = -3*k + 1. Let t(g) = 7*v(g) - 2*w(g). Let f(o) = -2 - 2 - 2*o + 2 + o**2. What is -f(z) + 4*t(z)?\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 23 in increasing order.\nAnswer: -9, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202199?\nAnswer: 241, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 12\/5 - 3\/5*d**3 + 3\/5*d - 12\/5*d**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (-1*(sqrt(35) - sqrt(105)\/(sqrt(3)*4))\/(sqrt(160)\/sqrt(8)))**2).\nAnswer: -127\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 939 and 206855753.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 13*x**2)*(2 - 2 + x + (0 + 1 - 2)*(x + 1 - 1) + 4 - x - 4 + 2*x + x - 4*x + 0*x + 0*x - 2*x).\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - 2*h**3 + 3*h**3 - 13911*h - 163*h**3 + 27819*h - 13901*h + (-h**2 + h**2 - h**2)*(-2 - h + 2).\nAnswer: -161*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 331200002 (base 4) to base 8\nAnswer: 754002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -36, -46, -60, -78, -100?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2901\/110 - 223\/11. Find the common denominator of 47\/110 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*x + 16 + 242*x - 448*x.\nAnswer: 47*x + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.31378l?\nAnswer: 33313.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 6750003*w**2 + 12*w - 24. Let g be s(-2). What is g rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216225 divided by 775\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (19 - (-6 + (18 - -7) + -17)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -4779, 25, -4 in increasing order.\nAnswer: -4779, -4, 2\/3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132133133 + 10?\nAnswer: 132133203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. What is the closest to -1\/2 in -0.06, w, 1\/12?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 l when three letters picked without replacement from {i: 1, x: 1, k: 1, c: 3, j: 2, l: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 165*s**4 + 1332*s**3 - 59616*s**2 - 1016064*s - 2488320.\nAnswer: 3*(s - 20)*(s + 3)*(s + 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + sqrt(162) + sqrt(162) + 1*-2*sqrt(162) - -1*(sqrt(162) + -1 - sqrt(162) - sqrt(162))**2) + -2 + sqrt(162) + -2 + -4.\nAnswer: 36*sqrt(2) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -20715\nAnswer: 20713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5771 + 64114?\nAnswer: 72105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:25 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-2418)\/(-217))\/(-39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/31 - -665\/372. Let a = x + -5\/4. Factor 0 + 2\/3*n**2 - a*n.\nAnswer: 2*n*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 10*j - 3. Is 9 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + y + 14, -1 = -4*u - 2*y + 1. What is the second derivative of -7*f**u - 4*f + 0*f - 11*f + 0*f wrt f?\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:00 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2282, 4508, 6720, 8912, 11078, 13212, 15308, 17360?\nAnswer: 19362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 74?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 794 + 936 = 2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + d + d + (3*d + 2*d - 6*d)*(0 + 1 + 0) + 4*d - d - d - 2*d + 4 - 4 + 3177 - 3177 - 104*d.\nAnswer: -106*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260.857 rounded to the nearest integer?\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/42*600\/(-1425))\/(-2*4\/84)\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1) + (-3)\/(-1). Suppose x = 2*x + 2*u + 7, g = -2*x + 4*u - 22. Let p(y) = -y - 3. Is p(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*z + 14, z - 2*a - 8 = 2*a. Suppose -69 + 301 = z*g. Suppose 0 = -2*l + g + 4. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-21) - (5\/3 + (-4248)\/6195)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:17 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -21250501?\nAnswer: -21250502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5956*q**3 - 23*q**2 - 12*q + 28. Let g(i) = 3971*i**3 + 16*i**2 + 8*i - 20. Let t(l) = -7*g(l) - 5*m(l). Find the third derivative of t(n) wrt n.\nAnswer: 11898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.3. Let q = 0.2 - s. Let n be 3\/2*1\/(-3). Is n equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 280a45?\nAnswer: -280a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2086 + -2085.999999655. What is w rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1 + 0*v - 3*v + 5*v + (-v + 2*v + 0*v)*(-6 + 2 + 3))*(-18*v**3 - 75*v**3 + v**3).\nAnswer: 92*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680859.6s to minutes.\nAnswer: 11347.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3131*v + 4522*v**2 - 2944*v - 922*v**2 + 1709*v**2 wrt v?\nAnswer: 10618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16010\/9 or -1778?\nAnswer: -1778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001643736 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*y - 2007 = 2010 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 6:13 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 16 - 1 = 3*q, 6*a - 5*q - 63 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 - 1018*m**2*q - m**2 - 5*m*q - 1318*q wrt m?\nAnswer: -6*m - 2036*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1549735*i - 5720. Let t(f) = -4341*f - 16. Give 4*r(w) - 1430*t(w).\nAnswer: 8690*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 15. Let f = -5 - c. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (160\/(-60) + 1 + 1 - 909\/(-189)).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/4 + 5*d**4\/2 - 3*d**3\/2 - 28*d**2 + 197*d\/4 - 45\/2 = 0.\nAnswer: -9, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -288556760*w**5 - 2*w**2 - 1796*w - 48822 wrt w?\nAnswer: -17313405600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599 = -81*r - 256 + 467 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 9*f**2 - 16*f**2 + 9*f**2 + f**3 to z*f**2 + r*f + s*f**3 + l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282122, 564394, 846808, 1129364, 1412062?\nAnswer: 1694902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -41 + (26 - 80)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7414.43877658 and -0.9.\nAnswer: 7413.53877658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 62. Let p(i) = 9*i - 155. Let h(g) = 2*p(g) - 5*x(g). Let f(k) = 1021*k**2 - 2*k. Calculate f(h(y)).\nAnswer: 4084*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**2 - 20*g + 74. List the prime factors of c(9).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*s**2 + 39*n**2*s*v**3 + 2*n*s**2*v - n*s**2 + 6*s*v**3 wrt n?\nAnswer: 6*s**2 + 78*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 13*l - 4. Let p be w(-7). What is the lowest common multiple of (-6)\/((-15)\/(-36) - p\/6) and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26423 - 2295. Is z a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 152, -3\/130, 806?\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 954 and 21094.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 2, -1, -15, 0 in ascending order.\nAnswer: -15, -2, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 45*v + 16 = 41*v, u + v = 1. Let h(c) = -2*c - 7. Let p be h(-6). Solve 0 = -p*j + u - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 257204 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 + 5*s + 6. Let n be w(-5). Let p be ((-7)\/(-14))\/(1\/10). Suppose 3*q + 23 = 4*o, -2*o = p*q + 6 + 15. Solve 14 = o*k + n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290784573759 + 16.\nAnswer: -290784573743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -5, 0, -6 in descending order.\nAnswer: 8, 0, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*f**2 - 31*f**2 - 4*f**2)*(0*f - 5*f**2 - 1 + 4*f**2 + 2*f) to r*f**2 + d + h*f**4 + i*f + q*f**3 and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -25 - (-898017)\/34290 - 6\/20?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 44 = 20. Suppose 0 = -j*m - 5*i - 5, 4*m = 2*i + 2*i + 4. Solve m = -5*b + 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 34 + 4*h + 0*h - 33 + 3*h**2 - 2*h**2. What is k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5732616 divided by -32.\nAnswer: -716577\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81349703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.5 - 88.5. What is the closest to i in 0, 14, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(189)\/(sqrt(3) + sqrt(9)\/sqrt(3)))\/sqrt(9) - (sqrt(448)*-2 + 5)))**2.\nAnswer: -5940*sqrt(7) + 69507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0807509 - -0.084466. Round h to four dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 22*m - 3 + 3 as z*m + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 + 203. Sort s, 4, 3 in ascending order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 320617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)\/w**(-4))\/(w**(-2\/7)*w)**(1\/37) assuming w is positive.\nAnswer: w**(2575\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15764 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 1\/5 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0002 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -0.4, -1545\/7, 2\/93 in descending order.\nAnswer: 3, 0.2, 2\/93, -0.4, -1545\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/21)\/(1 + 407\/(-308)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12147*k**4 + 2*k**3 - 1160*k + 341086946 wrt k.\nAnswer: -48588*k**3 + 6*k**2 - 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 25 = 34 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.059 - -0.059. Let m = -4.5 + -0.5. What is the second biggest value in 5, 0.3, k, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/330049 and 21\/5510.\nAnswer: 3300490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(85) - sqrt(85)) + sqrt(85))*-2)\/(sqrt(5) - (-1*sqrt(55))\/sqrt(11)) + sqrt(153)\/(sqrt(36)*-4) + 5.\nAnswer: 7*sqrt(17)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19592*j**2 - 33*j - 1431. Let c(w) = -9796*w**2 + 18*w + 717. Let u(r) = 11*c(r) + 6*z(r). What is the first derivative of u(x) wrt x?\nAnswer: 19592*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from {v: 1, d: 1, o: 2, m: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 0.3.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 36514*j + 914107. Give w(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 1. Let t(r) = -4*r**3 + r - 4. Let i be 1*-2 - (-4 + -4 - -5). Let n(d) = -7*d**3 + d**2. Let a be n(1). What is a*k(m) + i*t(m)?\nAnswer: 2*m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - d = 11, d - 2 = -p + 2*d. Suppose 0 = 5*v + 5*o - 35, -v + 17 = p*o - 0*o. Let b be ((-2)\/(-2))\/(v\/6). Solve -b - 2 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-20))\/(2\/(-15)). Let g = 113 - 107. Is g bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. What is the least common multiple of 10 and b(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -23 (c) 2414 (d) -15 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25255 (base 12) in base 6?\nAnswer: 1025345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*w + 9, 3*l - 4*w - 3256 + 3244 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/2 (b) -0.3 (c) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11570 divided by 20?\nAnswer: -1157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -50. Suppose 0 = a + 4*a - z. Let p = 6 - a. Calculate the least common multiple of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329508 is divided by 16455.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 996 = -0*b + 18552. Calculate the highest common divisor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15999 - -16058. Solve z*p = 67*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 + 3)\/(6\/(-44)). Let b = 73 + -103. Let f = c + b. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344380120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.1 and -0.08.\nAnswer: -1.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let c(t) be the first derivative of -t**4\/4 + 7*t**3\/3 + 7*t + 3. Let l be c(7). Solve g*b - 5*o + 2 = 6, l = -b - 2*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 881?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -81. Solve u = 2*m + 5*w, m - 3*w = 2 - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/4*6\/(-9). Suppose -2*t = 5*o + 1 - 22, 45 = 2*t - x*o. Calculate the greatest common divisor of 54 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-2) - 47)*-1. Let j = z - 27. Suppose -73 = -3*m - 3*x - 13, -5*m - 4*x + 104 = 0. Calculate the greatest common factor of j and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j**2 - 115*j + 170. Determine i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 14 (c) 252 (d) 0 (e) -3\/2 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21481223.\nAnswer: 21481223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 + 4*i + 1. Let m be a(2). Let v be (-1)\/(-2) - (-6)\/4. Suppose -w - v*w - 5*t = -m, 5 = 5*t. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 39232*z + 0*z**2 + 2*z**2 - 39228*z.\nAnswer: 2*z**2 + 4*z - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 + b - 1. Let s(p) = -3*p**2 + 2*p. Let v(a) = -10*a**2 + 7*a. Let o(n) = -7*s(n) + 2*v(n). Let q = -147 - -146. Determine q*m(g) + 3*o(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -3, -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*w + 3*r - 6*r, 3*r = 5*w - 62. Let z(b) = -b**3 + 12*b**2 + 12*b + 15. Let n be z(w). Factor 3 - 14*y**n + 3*y**2 + 17*y**2 - 9*y.\nAnswer: 3*(y - 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 202.\nAnswer: -2, 4, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 12\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/55)\/j)\/j**(-27)*(j\/j**4)\/j*j*j**(-1\/7)\/j*j*j assuming j is positive.\nAnswer: j**(9556\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -13 + 3 - (8 - -1)) + 30\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/48662 and -81\/1120?\nAnswer: 27250720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/120 + t**5\/30 - 2*t**2 + 2*t. Let v(b) = -3*b**2 + 1. What is 3*l(a) + 2*v(a)?\nAnswer: -3*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 - -36246?\nAnswer: 36141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -22. Let l(q) = -6*q + 279. Calculate the remainder when 91 is divided by l(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 574 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 2, i: 2, y: 1, n: 1}. Give prob of picking 1 y, 1 n, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.68 - -0.6. Let c = 0.22 - h. Let r = 0.26 - c. Round r to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3, -211, 3, 0 in decreasing order.\nAnswer: 6, 3, 0, -2, -3, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -34*m**2. Let n(b) = 4*b**2 - 125 + 64 + 61. What is a(n(i))?\nAnswer: -544*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmnnmanmcmnnmn. What is prob of sequence mm?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (15 - (26 - 7))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/3 and (-15)\/((1848\/9)\/22).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*m + m. Let r(o) = o**4 + o**3 - o + 1. Let j(h) = -4*h**4 - 5*h**3 - 2*h**2 + 5*h - 4. Let l(i) = m*r(i) + j(i). What is s in l(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 - 235. Let v(t) be the second derivative of 0*t**3 + k + 0*t**5 + 3\/55*t**6 + 0*t**2 - 2\/11*t**4 + 1\/77*t**7 + 11*t. Factor v(x).\nAnswer: 6*x**2*(x - 1)*(x + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 15) to base 2.\nAnswer: -11111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (26 - 8) - (5 - (-5 - -16))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2342*p**2 + 3420*p**2 + 7334*p**2 to r + j*p**2 + a*p and give j.\nAnswer: 8412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 49 - 39 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:32 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86605408 - -86605410.17000009. Let s = -2.17 + z. What is s rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(1 + (sqrt(832) - (1 + sqrt(832) - sqrt(832)))*6 + 1))**2.\nAnswer: -269712 + 3456*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/50 - (346\/(-4) + 0). Calculate the greatest common divisor of o and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2)\/4*2. Suppose -3*s + 1 = -x, 5*x + s - b = 10. Suppose 11*g = 64 - 9. Solve g*q - 15 = x*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -812 (base 15) to base 13\nAnswer: -a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/4 - 8*j**3\/3 + 3*j**2 + 7*j - 4. Let m be u(7). Suppose -p + 53 = -m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((112\/40)\/(-14))\/((-9)\/30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 429.3024 + -0.1024. Let a = -471 + x. Let w = -12.7 - a. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11777 (base 15) in base 3?\nAnswer: -2211101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 6:18 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 27*i**2 + 44*i + 99. Calculate a(25).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*r = -253*r + 12595. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 - 26*q**2 - 94*q - 126. Let s(k) = 9*k**3 + 53*k**2 + 187*k + 251. Let g(t) = -10*j(t) - 4*s(t). What is x in g(x) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 600*x - 18*x**2 + 601*x - 71*x**2 - 14*x**2 to the form d + m*x**2 + y*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*f = 279*f + 297*f. Solve 8*a - 3*a - 2*n = -8, f = -2*a - n - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:23 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40177998 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (1 - -1 - 0). Let m(y) = -2*y**3 - 26*y**2 - 178*y - 1833. What is the remainder when 28 - 2\/(-1 + f) is divided by m(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -559*m**2 + 0*m - 89*m**2 + 0*m - 258*m**2 in the form b*m**2 + o + t*m and give b.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 1257415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -0.036938805326.\nAnswer: 13.963061194674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 9*x - 3*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2. Let i(k) = k**2 + 51*k + 9. What is i(h(g))?\nAnswer: 9*g**4 + 153*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -1, -0.2, 0.219, -2\/17, 6.\nAnswer: -1, -0.2, -2\/17, 0.219, 5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127 divided by 49?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231311120 (base 4) in base 3?\nAnswer: 1211111022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13304 divided by 19.\nAnswer: 13304\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 36. What is the third derivative of 0*f**6 + 4*f**2 - 5*f**6 - 8*f**2 - 2*f**y wrt f?\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 966663.9.\nAnswer: -966659.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697 is divided by -12 + -13 + (199 - 19).\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74558825 a multiple of 3425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8225965 is divided by 16551.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/(-20) - 5\/25. Let l(b) = -b**3 - 6*b**2 - 5*b + 1. What is l(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2394 by 63.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.119 + 9.119. Which is the third smallest value? (a) h (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 6*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 413985723 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/7, 4, 12, -30, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 30. Let j(f) be the second derivative of f**4\/12 + f**2 + f - 1378. What is j(v(x))?\nAnswer: 4*x**2 + 120*x + 902","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 5893.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77018 is divided by 147.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-124)*120\/1890. Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-3)\/8). Let a be (-3)\/o + 27\/12. Let s(v) = 2*v**2 - 3*v + 2. Is s(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o - 9*o + 899 - 895. Let u(w) = w**2 - w - 17. Let d be u(5). What is i(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6330 = v - 2*c, 3*v - 13*c = -17*c - 18940. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from bbbbqbbebebbbebbb?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251065 (base 7) to base 4.\nAnswer: 23032321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 0.1004.\nAnswer: -0.19076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**9 - 5*y**5\/3 + 893*y**2. Find the third derivative of i(q) wrt q.\nAnswer: -60480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 686\/(-70) + 7 + 2 - 1758\/(-2210). What is the biggest value in -3\/7, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(3*f + 2*f + 3*f).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743029*n**3 - 1486082*n**3 + 743067*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -2\/3*v**3 - 1 - v**2 + 2*v - 1\/4*v**4. What are the prime factors of d(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 8*l**2 + 8*l + 7. Let d be g(9). Let s(w) = -1 - 3*w - 2*w**2 + w**2 - w**3 - w**2. List the prime factors of s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474*d**2 + 77*d**2 - 7 + 34*d**2 - 1293*d**2 to b*d + u*d**2 + i and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10231 is divided by 58?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from dpftkll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4407 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06777 and -1517.\nAnswer: 102.80709","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(1\/3))*m*m*m*m*m**2*m*m*m**(-2\/13)\/m**(-2\/11) assuming m is positive.\nAnswer: m**(3301\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) 2 (c) 1\/5 (d) -4 (e) -221 (f) -3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13399*z + 13401*z = -2*r - 6, -2*r = 4*z + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/(38038\/6877) - 6\/7 and -85\/36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 85 = 9*z, 379 - 340 = -2*j - z for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001 + 638 = 122*w - 679. Solve -w + 13 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/120 and 137\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 37*w**7\/7 + 173*w**4\/12 + 31*w + 1. Find the third derivative of n(t) wrt t.\nAnswer: 13320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*z = 35, 2*r - z = 5*r - 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(144\/504)*3\/63.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n + 1 - 1\/3*n**2 - 1\/2*n**4 - 2\/3*n**3 - 2\/15*n**5. Factor p(d).\nAnswer: -2*d*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -t - 9, -w - 30 = 5*t + 29 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 4*y**4 + 2*y**4 - 2*y**2 + 3*y**3 + (y - 11*y - 8*y)*(-46*y**3 + 2*y**3 - 20*y**3).\nAnswer: 1154*y**4 + 3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:36 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) 5 (c) -5 (d) -17 (e) 0.005\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -292, -1179, -2658, -4729, -7392, -10647?\n\"Answer: -296*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j*j**(3\/7)*j)))\/(j**(2\/3)*j*j*j)*j\/j**4*(j*j\/(j**3*j))\/j)\/(j**(-2)\/j**(-3\/4))**(-9\/7) assuming j is positive.\nAnswer: j**(-575\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -25. Let z be y\/(-6)*12\/(-8). Let s be (-2)\/z - 315\/462. Do -7 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93562 is divided by 93553.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a**2 - 3*a**2 + 0*a**2)*(-2 - 3 + 3) - 1 + 6*a**2 + 1)*(6 - 3 - 1)*(-2 + 1 + 0).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6078380 divided by 78940\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.1. Which is the closest to l? (a) 0.5 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239.6313 months to millennia.\nAnswer: 0.019969275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 541 + -515. Suppose 2*o + 3*o = 35. Calculate the remainder when n is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767488508 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/6 + 132\/(-99))\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5066738.38 to the nearest 100.\nAnswer: -5066700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/17 - 3627776*f**2\/17 - 58044032*f\/17 - 232175616\/17.\nAnswer: -2*(f + 8)**2*(f + 1813872)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 5. Determine h(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, -32 in increasing order.\nAnswer: -32, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 1503?\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -6*b**5 + 21795*b**4 - 465063*b**3 - 2731320*b**2 + 5069844*b = 0.\nAnswer: -6, 0, 3\/2, 26, 3611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 2046171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173\/3 - -58. Determine g, given that 1\/3*g**4 + 1\/3*g - 1\/3*g**3 - q*g**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268680 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:38 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 755509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + -12 + (2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1525550054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/78)\/((-31020)\/(-21996))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/((-1)\/9). Let q = -711 - -7822\/11. Sort w, 1\/13, q in decreasing order.\nAnswer: w, q, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.35? (a) -4\/13 (b) 21 (c) -2\/5 (d) -1\/139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 6*s**3 + 2*s - 17 + 9*s**3 + (-2*s**3 - s + s)*(-9 + 0 + 5).\nAnswer: 11*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-92)\/(-69)*-24.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {q: 5, s: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 1\/6*w**6 + 0*w**2 + 0*w + 0*w**3 + 181 - 4\/5*w**5 + 0*w**4. Solve r(t) = 0 for t.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 9*j + 27. Let s be v(-11). Suppose -12*b - 26 = 34. Put 1, s, b in decreasing order.\nAnswer: s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12173677 is divided by 380.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15806.\nAnswer: 1\/15806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 - 90*w - 40*w**2 - 38*w**2 + 77*w**2 - 66*w.\nAnswer: -w**2 - 156*w - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let i = -38 - n. Let q = 33.9999973 + i. Round q to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = 7. Is 11\/7 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32313953\/2508 + 141720\/11. Let w = h - 2\/57. Is w < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -1) - (14 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**4)\/d**22*(d\/d**(12\/7))\/d**(-3\/7) assuming d is positive.\nAnswer: d**(-177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9491964 to the nearest integer?\nAnswer: 3081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most as big as -4.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -49. Are -2\/5 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.16257 - -0.89443. Let x = -0.86 - 37.14. Let h = p + x. What is h rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/14 - (-418)\/(-77) - -120 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y + 37*y + 9*y)*(-30 + 7 - 55 + (-1 - 3 + 2)*(0 - 2 + 0)).\nAnswer: -3922*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3905 is divided by 3674.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i + 43. Suppose 0 = -h - 2*h + 4*l, 15 = 3*h + l. Let n be z(h). Suppose a - 69 = -n*j, -a + 40 = -2*j - 4. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.63 - -0.03. Let m be (-22)\/110 - (-488)\/15. Let f = 33 - m. Is n greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -336713 - -473113. What is o rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8350333952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*p - 10, 4*b - 2*b = -5*p + 25. Let d(w) be the third derivative of 0 - 1\/2*w**3 + 0*w - 1\/12*w**4 - p*w**2. What is the derivative of d(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) -2\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 - 19*x\/6 - 3.\nAnswer: -(x + 1)*(x + 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -11. Suppose 24 - u = 4*g. Let p be g - (0 + -1 + 1). Solve d + 0*d = -p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11 - 6 - (-33 - -33). Solve 3*i = 5*w + d, -2*i - i = 4*w + 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1266*z**2 + 2*z. Let u(q) = -5*q. Calculate u(h(i)).\nAnswer: 6330*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(1\/6)*r)\/r*r)\/((r\/(((r*r**13)\/r*r)\/r))\/r))\/((r*r**(-3)*r)\/r*r**13))**(3\/2) assuming r is positive.\nAnswer: r**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 24*y - 76*y = -238 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqqcccqcuqqcu. Give prob of picking 1 c and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f = 31. Let k = -28 - f. Suppose 2*y = -k*y + 425. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304 or -244?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8221719?\nAnswer: 8221719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*x**5 + 1113*x + 576*x**5 + 236*x**5 wrt x?\nAnswer: 15460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 + 5*g**4\/24 - g**3 + 5*g**2. Let d be a(3). Is 5*(14 + -3 + d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19199 + 19193. Is s at least -372\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*v + 68*h - 73*h - 26, v + 5 = 4*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-11) - (-4)\/(-22). Let k(d) = -3*d**2 + d + 1. Let s be k(u). Which is bigger: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 - 3*o**3\/2 + 9*o**2\/2 - 11*o. Let a = -12 - -28. What is the remainder when h(-5) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:52 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 51*f + 1. Let l be s(3). Suppose 15*t - 9*t = 30. Suppose -t*x = -l - 36. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/25)\/(23\/1380*-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**(4\/3))\/(a\/(a\/a**1))**(-35)*((a\/(a*a**(1\/3)\/a))\/a**(2\/5))**(-27\/2) assuming a is positive.\nAnswer: a**(431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(48))\/sqrt(4)*1)**2 + (sqrt(48)\/(sqrt(6)\/sqrt(3)))\/(sqrt(192) + (sqrt(192) - 2*sqrt(192) - sqrt(192))).\nAnswer: -sqrt(2)\/4 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*p + 3*k - 8, 2*k = -p + 2. Suppose 3*s + 0*h - 37 = p*h, 4*s - 2*h = 46. Solve 2*m = 4*f + 3*m + s, -f + 1 = 4*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 24*z - 32*v = -35*v - 11 - 11, -z + 5*v = -34 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318907427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-12) - 8)*28674\/(-1782).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 2*h**2 + 3*h**2)*(0*h + 3*h - 2*h) + 4*h - 4*h - h**3 + (0*h**3 + h**3 - 2*h**3)*(-7 + 2 + 1) + h**3 + 7*h - 7*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {h: 1, j: 3, w: 3, d: 3, o: 3, q: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 11:48 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 2*k + 0 = -2, 1 - 5 = -4*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7503850351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -2. Let c = q - -10. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 104*t + 3742. Calculate o(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.053 and -922.2?\nAnswer: 922.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54481?\nAnswer: 7, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203033097?\nAnswer: 3, 37, 609709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3191 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 0*t + 5\/14*t**4 - 6\/35*t**5 - 1\/7*t**2 - 2\/21*t**3 + 3. Let w(r) = 0. Calculate r.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**5\/4 - 399*b**4\/4 + 9459*b**3\/2 + 80211*b**2 + 260958*b + 240480 = 0?\nAnswer: -167, -10, -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -101, 0, -1, 1\/2, -0.228?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1856 + 1058 = 425*r + 364 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 305 + 285 = -2*m, -5*a - 18 = -m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*v + 13 = -2*v, 3*a + 2*v = 0. Is (291\/(-9))\/(a\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 2*v = -9. Suppose -v + 121 = 4*f. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 802 + -700. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 6\/2471291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 minus -1107700?\nAnswer: 1107766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -47, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(132)*1 - sqrt(132)) - sqrt(132)) + sqrt(132) + 1*1*sqrt(132))\/(1*-6*sqrt(192)).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 10:59 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/(-99) + (-132)\/(-54). Solve 1 - 5 = -x, w*p = 4*x - 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/8 - m**3\/6 - 7*m**2 + 2. What is o(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -1 (c) -517 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 - 214*b**2 + 282*b - 2633. What is x(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 843206?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0*g*g)**(-12\/11))**(-39))**(-5\/4) assuming g is positive.\nAnswer: g**(-1170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 23*f**2 - 22*f + 5. Let p be h(-24). Let g = p - -49. Is 13 a factor of 9\/(1\/20*g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1153 - -1151. Put 3, -5, s, -6 in descending order.\nAnswer: 3, s, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.7. Let r = q - 0.2. Put 4, 2, r in ascending order.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 9. Let q = 10 + -22. Let r = 1018 - 1028. Let u be (-25)\/r*q\/(-10)*-3. Let t(z) = z - 4. What is u*t(h) - 4*p(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -13. Let b(w) = w**3 + 2*w**2 - 3*w + 1. Let x be b(c). Solve 4 + x = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-62127)\/(-246312) - (-3 - (-180)\/55) and -89\/4?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a kilogram in grams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q - 8*q - 6*q + 37*q - 11*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17970*d = -18028*d + 1972 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 100\/1733?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/24*(15 + -10 - 38 - -3). Solve 21*a + 47 = y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4377, 3, -5604.\nAnswer: -5604, 3, 4377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -14*y**3 + 6*y**2. Let p(o) = -29*o**3 + 12*o**2. Let c(g) = 4*p(g) - 9*x(g). What is the third derivative of c(z) wrt z?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -7*u - 11. Suppose 0*n = u*n - 8. Sort -9, 1, n in decreasing order.\nAnswer: n, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/5 and (42\/8 - 0)\/(17\/34).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 9*z + 10. Let q(c) = 8*c**2 + 2*c + 3. Let u be q(z). Suppose 5*x - u - 359 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - c, -13 = 3*p + 2*c + 12. What is the second smallest value in 2\/5, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 127*j**5 + 117*j**5 - 149*j**5 + (5*j**2 - 2*j**2 - 2*j**2)*(2*j**2 - 2*j**2 - 2*j**3).\nAnswer: -161*j**5 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 1875*f**2 + 2424450*f + 783727707 = 0.\nAnswer: -16163\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - 4\/(16\/(-132)). Suppose 2*c + n - 106 = 0. Let q(i) = 23*i**3 - i**2. Calculate the remainder when c is divided by q(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1101, -13740, 0 in descending order.\nAnswer: 1101, 0, -13740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5788*j + 5785*j + 4 - 4.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = d + 1, -12 = 3*q. Solve -3*p = d*p + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 85, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.59603ml?\nAnswer: 0.06759603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4959909*m**5 - 11690388*m**2 + m wrt m.\nAnswer: 297594540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.98, 13, 4, 0.2 in ascending order.\nAnswer: -0.98, 0.2, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/2915459 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15.17902 and -0.1?\nAnswer: 15.07902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t + 15 = 0. Let i(h) = -h - 1. Let d be i(t). Factor -8*g**d - 3*g**5 + 6*g**5 + 7*g**3 + 0*g**4 - g**2 - g**2.\nAnswer: g**2*(g - 1)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6843254 divided by -583?\nAnswer: -11738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/43 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498682 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/66 and (-53)\/(-265) - 53\/(-30).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29181.3 + -29181. Let j(x) be the first derivative of -x**3\/3 - x**2\/2 + x + 1. Let i be j(1). Which is the second biggest value? (a) u (b) 1\/6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*n**2 - 58*n**4 - 730*n**4 - 886*n**4 + 6854 - 6788 wrt n?\nAnswer: -40176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 4*z - 136*z**2 - 3*z.\nAnswer: -136*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 2. Let n be ((-15)\/6)\/(-5)*30. Let q be (6\/(-7))\/(3\/(-42)). Let i = n - q. Determine b(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 4*j**2 - 8*j**2 - 16*j**2 - 4*j + 6*j**2.\nAnswer: -9*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/310 and -95\/481182.\nAnswer: 2405910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/14*200\/2. Let r = 146 - h. Let x be (r\/(-650))\/(2\/(-5)). What is the closest to 0.1 in 8\/3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*j**3*k**3 + 5*h**3*j**3*k - 3*h**3*j**2*k + h*j**2*k - 5*k**5 wrt k.\nAnswer: 12*h**3*j**3*k - 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -59.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let z be m(3). Let w = z - 2. Let d = 9 - 43\/5. Which is the third biggest value? (a) w (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -38*z**2 + 15. Let y(l) = -1007*l**2 + 399. Let a(j) = 133*g(j) - 5*y(j). Let t(q) be the second derivative of -2*q**3\/3 - 4*q. Determine t(a(x)).\nAnswer: 76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 32 (b) 3\/5 (c) -0.14 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 742 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/18*-6*12\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)*15\/3. Suppose -1022 = 3*a - b*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - k**2 + 7*k**2 - 3*k**2 - k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1 - 5 + 2 + n - 9*n**3. Let q be m(-4). Suppose g = q + 975. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -289, -290, -273, -232, -161, -54?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/((-12)\/(-81)) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.46 - 1.25. Which is bigger: 0.03 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46868180 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630250 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 2*h + 5. Let d(c) = -c**2 - 6*c + 3. Let k be d(-4). Let o(n) = 7*n + 9*n**2 - 16 + k*n**2 - 10*n**2. Determine 2*o(w) + 7*y(w).\nAnswer: -w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*m**2 + 535*m**2 + 388*m**2 + 67*m**2 to r + p*m + q*m**2 and give q.\nAnswer: 1137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - g - 12 = 0, 2*x + 4*g - g + 2 = 0. Let j(c) = 0*c**x - 3*c**2 + 4*c**2. Let b(t) = -2*t**2 - 5*t + 5*t. What is b(j(o))?\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-234)\/(-13) + 5*-1. What is the hundreds digit of (-1)\/(13\/(-2)) - (-1909)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -22. Let y be (-22 + 20)*(f\/(-2) + -1). Let d(j) = -j**3 + 6*j**2 + 10*j + 5. Is 16 a factor of d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u, -u - 1395 - 1329 = -4*d. What are the prime factors of d?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.06 + -0.06. Let h = -3.64 + 0.74. Let p = h + 4. Is p <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1121351, 1121621, 1121891, 1122161, 1122431, 1122701?\nAnswer: 1122971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 5*q**2 + 5*q**2 + 20*q**2.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*m + 476*m + 36 = -4*s, -6*s + 3*s + 4*m = -1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i + i)*(0 + 11 - 50*i + 14 - 300*i + 139*i).\nAnswer: 211*i**3 - 25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2036\/1155 + -44\/105. Is -1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120 - 63) + -93 + -71?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 14*c - 48 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -45*((-3 + 0)\/1)\/5. Let k be (6\/a*-3)\/((-2)\/30). Solve 10 = 4*i - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*p = -30, -2*b + 2*p + 5 = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2252558.4\nAnswer: 1126279.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 11*r**2 + r - 9. Let u = -58 - -33. Let z = u - -31. Let o be l(z). What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*f**2*g*h**2 - 2*f**2*g*s + 43*f**2*s + f*g + 3*f*h**2*s - 2*f*s wrt g?\nAnswer: 9*f**2*h**2 - 2*f**2*s + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 65 = -r. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41759 (base 13) to base 14\nAnswer: -30c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-171)\/(-19))*(1 + 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 59.43418mm?\nAnswer: 59434180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -2\/7, -4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 4) in base 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 21. Let n(b) = 3*b**3 - 116*b**2 - b + 1. Let m(d) = -23*d**3 + 875*d**2 + 6*d - 6. Let i(l) = -2*m(l) - 15*n(l). Give i(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5131870 is divided by 346?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*s = 105*s - 855. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(2*l**3 + 2*l**3 - 2*l**3) - 9*l**3 + 4*l**3 - 27*l**3 + (8*l - 3*l + 0*l)*(l**2 + 0*l**2 - 2*l**2).\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 637\/(-637)*(-3)\/(-12)*14?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13593 by 4531.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -153851762 and -279414.\nAnswer: -154131176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 1. Let r(q) = -4*q + 8. Suppose 2 = -2*p + 3*p. Suppose 19*i - 16 = 17*i + 2*l, 4*i = 5*l + 37. Let d = p - i. Give d*r(h) + 6*b(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -12*r + 5. Suppose 8*g - 11*g = 27. Is m(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*m + 113*m - 4608. Suppose -216 = m*h - 294*h. Calculate the least common multiple of 28 and h.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -12, -22, -36, -54?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 3*q**2 - 3*q + 1. Suppose -9*x = -6*x - 3. Let b be u(x). Solve -3*w + w + 4 = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 8*m**2 - 6*m - 1. Let j be s(7). Let p = j - 3. Let b(d) = -d**2 + 2*d + 3. Let x be b(p). Solve -w + 5 = -x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15076.\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1490 and 361027.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 less than or equal to -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, 32, 5, 0 in descending order.\nAnswer: 32, 14, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -15.9379?\nAnswer: -6.37516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4\/9, -3, 5, 853, 3\/4, 2\/17 in ascending order.\nAnswer: -3, 2\/17, 4\/9, 3\/4, 5, 10, 853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04900395 - -20.032.\nAnswer: 20.08100395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/10049?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40459028?\nAnswer: 2, 10114757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -794 + 736. Let m = 202 - r. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 1)*(0*h + h + 0*h) - 3*h + 9*h - 2*h - 7*h - 2*h + 6*h + 3*h + 3 - 3)*(-31 + 16 - 21).\nAnswer: -216*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201369578 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 0*y**2 + 0*y**2 + 5883 - 5883.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223 - 224. Let h(z) = -4*z**2 + z + 2. What is h(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 29 + 1 + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1100100000010101?\nAnswer: 1100100000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 6 - 3 + 0*z)*(0*z + 3*z - z) in the form t*z + m*z**2 + g and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, l: 2, d: 4, f: 2}. Give prob of sequence llw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:47 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4539921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 1. Let q(g) = -2*g**3 - 12*g**2 - 12. Let v be 8\/(-2) - (-3)\/1. What is v*q(y) + 12*c(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 - -160. Suppose -2*m + 20 = -4*w, 10 = 4*m + h*w - 12*w. Solve m*z = -z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 508 = -207. Let h(c) = 770*c. Let s(l) = -32*l. Let f(k) = d*s(k) + 6*h(k). Let m(n) = n**2. Calculate f(m(x)).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let z(y) = 8*y**2 - y. Let r be z(1). Suppose 0 = -4*k - r*k + 22. Let m(w) = k + 3 - w - w. Determine m(s) - 4*u(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 140 = 40. Let c be (3 + f\/(-36))*2. Let v be (3\/20)\/(1\/4). What is the nearest to v in -2\/9, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 2, 3, -3 in decreasing order.\nAnswer: 3, 2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -60*w - 660. Let p be k(-11). Solve -11*v + 15*v - 4 = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-7 + 11)*-2 - -7). Factor 3\/8*n**4 + 0 - 3\/8*n**3 + g*n - 3\/4*n**2.\nAnswer: 3*n**2*(n - 2)*(n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 - 6\/5*f + 2\/5*f**3 + 0 + 1\/5*f**4 = 0. What is f?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 3*m**2 - 2. Let l(z) = -z**3 + z**2 + 1. Let g be ((-6)\/(-12))\/(14\/(-12) + 1). What is g*l(o) - q(o)?\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -102767434?\nAnswer: -205534868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15075, 4, 32 in descending order.\nAnswer: 15075, 32, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 7*h + 3*x + 196, 4*x = 4*h - 192. What is the remainder when 1790 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -2, 1, -1 in decreasing order.\nAnswer: 80, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 8*v**2 + 335*v**3 - 83 + 3*v**2 + 0*v.\nAnswer: 335*v**3 + 11*v**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36*h**3 + 2*h**2 + 2*h - 2. Let t(b) = -b**3 - b**2 - b + 1. What is a(s) + 2*t(s)?\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1145713*-0.11\nAnswer: 126028.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*b. Suppose 5*v - v - 16 = 0. List the prime factors of b\/(((-2)\/(-1))\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11254837 + 0.2\nAnswer: 11254837.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31259726 or 31259724?\nAnswer: 31259724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 545 - 115. Let x = 304 - y. Let p = 236 + x. Calculate the greatest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 5638, 19026, 45102, 88096?\nAnswer: 152238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4) - -4 - 4. Suppose 0 = -3*n + 2 + 1. Let q(a) = -n + a + l*a + 1. Let b(r) = -5*r. Calculate q(b(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 14*z + 99. What is the remainder when 862 is divided by x(9)?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167137021 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at least as big as -1.3694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00803952612 rounded to seven decimal places?\nAnswer: 0.0080395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2)*5)\/(sqrt(2) - (sqrt(2) + sqrt(128)\/sqrt(4)) - sqrt(2)))**2 + ((2 + sqrt(700))**2 + 3 - (sqrt(700) + 2 + -1)).\nAnswer: 30*sqrt(7) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 6*g - 7. Let o be w(-7). Suppose -y = 8*y - 828. Let f = y - o. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32608 - -2.\nAnswer: -32606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n - 36. Let t be w(6). Let m(l) = 0*l + 3*l**3 - 4*l**3 + 6 - 8*l + 8*l**2. Is m(t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -3555*m**4\/2 - 644*m**3\/3 + 8279. Find the third derivative of b(d) wrt d.\nAnswer: -42660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h + (2 + 2*h - 2)*(3 - 3 - 1))*(-22*h**2 - 29*h**2 + 4 + 52*h**2 + 21*h).\nAnswer: -4*h**3 - 84*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20390 and 122340.\nAnswer: 122340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 77 (b) -2 (c) -1\/8 (d) 3\/212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) 2 (c) -3\/2 (d) -905 (e) -1153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876.045 - 61079.\nAnswer: -61955.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3)*y)**(2\/77))**14\/((y**2\/y)**(-17)\/((((y**(3\/7)*y)\/y)\/y)\/y*y*y**6\/y)) assuming y is positive.\nAnswer: y**(5006\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba3 (base 12) in base 5?\nAnswer: 131123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8583 = 14*q - 8611 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 18*i**2 + 114*i - 11. Give o(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 13. Let f(v) = -10*v**3 + v**2 - v - 2. Let c be f(w). Suppose -5*o = -4*b + 12 - 4, 5*b - c = o. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393020 * -12\nAnswer: -4716240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 58 = 3*g - 98, 4*g = 5*h + 390. Let m = h - -243. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 395*l**6\/24 + 1935*l**3\/2 - 6618*l**2. Find the first derivative of k(u) wrt u.\nAnswer: 5925*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 3 + 1028*w + 3 - 18)*(38*w - 38*w - 12*w**3) as t*w**2 + q*w + x*w**4 + u + h*w**3 and give x.\nAnswer: -12336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.4 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:34 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1200 - -1211. Let l(g) = -2*g**3 + 4*g**2 + 3. Let c(i) = 6*i**3 - 11*i**2 - 9. What is a*l(u) + 4*c(u)?\nAnswer: 2*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-106.\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 490\/168)\/(-1 + 2). Let i(u) be the third derivative of 0*u - 1\/30*u**5 + l*u**4 + 7*u**2 + 0 + 2*u**3. Solve i(r) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32507 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 + 9*b + 14. Let s be f(0). Let o be -6 + 2\/(2 - 0). List the prime factors of s + (4 + o - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000347017526 to seven dps.\nAnswer: -0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900602 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 65, -0.23349?\nAnswer: -0.23349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/80*92\/(-69)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259341, 259347, 259353, 259359, 259365?\nAnswer: 259371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r + 6 = 0, -4*g = 2*r - 20. Solve 0 = 2*f + 1 - 3, 0 = -3*w + f - g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3755 divided by 2?\nAnswer: -3755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21168 and 5148.\nAnswer: 3027024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024 and 23049728?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*l = -463*l - 4*j - 4, 5*j + 5 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f**2 - f. What is a(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j - 190*j - 5021 = -51*j - 393 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2531997 and 12\/182039?\nAnswer: 27851967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-22)*(-48)\/(9600\/(-550)))\/(4\/(-32)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9643060 by -5.\nAnswer: 1928612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 12:26 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/21, 8.5 in descending order.\nAnswer: 8.5, -4\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 245 = -2*b. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462869725.\nAnswer: 5, 29, 167, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 53*l - 95 = 58*l, -3*l + l = 5*r + 3*l - 130 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(11) + sqrt(891)*-5 + -3)**2 + 1.\nAnswer: 264*sqrt(11) + 21306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -19*o**2\/2 + 33*o + 2479. Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2. Let f(t) be the first derivative of -2*t**3\/3 + 6*t + 8637. Determine f(i(n)).\nAnswer: -50*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*i - 60, -3*i - 77 = -5*w - 7. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times 0.8997?\nAnswer: 0.233922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l = -25*l - 4*j - 20, 25 = 2*l - 5*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) -1\/9 (c) 4 (d) 0.4 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.96 + 0.45. Let c = 0.5 + m. Suppose -4*j - 4*q + 32 = 0, 2062*q - 2058*q - 41 = 5*j. What is the nearest to j in -5, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011100100 (base 2) to base 12.\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.98165 rounded to 2 decimal places?\nAnswer: 89.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2523 and -7.7.\nAnswer: 2515.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 d when four letters picked without replacement from dbdddbmdbdddmdmddd?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.68 and -11.16?\nAnswer: -7.5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, -0.2, -0.1 in descending order.\nAnswer: 10\/7, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41869.962 - 41870. What is the second biggest value in -3\/7, -5, -3, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (1*-487 - 28\/(-14)).\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:17 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -32*k**7\/7 + 44*k**3\/3 + 2*k + 52. What is the third derivative of l(j) wrt j?\nAnswer: -3840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009178261 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + b - 8. Let f be (-1)\/(1 - 20\/16). Let u be c(f). What is the least common multiple of 1 and (-8)\/u - 106\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - s - 2*s + 9*s + 250 - 250 + (1 + 2*s - 1)*(-22 - 19 - 83).\nAnswer: -238*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1372, -2, -5, -0.8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19876206151 from -5.\nAnswer: -19876206156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/614049 and -7\/258.\nAnswer: 52808214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -62. Let d = i - -70. Suppose 2*k - 4*l - 36 = d, 2*l = 5*k - k - 60. Calculate the remainder when 67 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 12. Let v be f(0). Suppose a + v = -2*a. Let m be (-10)\/40 + (-229)\/a. What is m rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -6 + 3 + -3. Let c = -3 - x. Suppose c*g = 4*g - 7. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -25\/4*p**4 + 0*p + 5\/3*p**3 - 55 + 0*p**2 - 11\/4*p**5. Solve i(h) = 0.\nAnswer: -2, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2136 = -636. Let r = 422 - m. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 17*q**2 - 6*q + 33. Let s(g) = g**3 + g**2 - 11*g - 32. Let v be s(-3). What is the hundreds digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:14 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (22 - 11) - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82484 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*z + 0*z**2 - 7*z**2 + 36*z + (9*z - 57*z - 25*z)*(z - z - 2*z) + z**2 - 4*z**2 + z**2 to the form n + a*z + m*z**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 84. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-10)*5 - 2. Suppose -3 = -z*d - 19. Let s(k) = 4*k**2 + 7*k + 2. Let x(i) = 5*i**2 + 7*i + 1. Let v(u) = d*s(u) + 3*x(u). What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8362694+-0.04949\nAnswer: 8362693.95051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k + 5. Let g be (2 + -3)\/((-5)\/45). Let q(r) = g + 12*r - 2*r - r. Determine -7*l(m) + 4*q(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 31*a + 15 + 1\/3*a**3 + 0*a**2. What is t(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6552 + 78761\/12. Find the common denominator of p and (-884)\/(-48) - 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-9)*(-54)\/434. Let b = d - 4\/31. Let t(s) = -751*s + 15019. Let r be t(20). What is the nearest to 1\/2 in r, -11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 304, 729, 1162, 1609, 2076, 2569, 3094?\n\"Answer: l**3 - 2*l**2 + 424*l - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, p: 1, v: 2}. What is prob of picking 1 m, 1 s, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 10*x - 29. Determine s(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/20 and 83\/2098806.\nAnswer: 20988060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let f = -7 - -8.4. Let m = -1 + f. Which is the nearest to u? (a) 0.1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -308, -1, -2, -12.\nAnswer: -308, -12, -2, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y\/(y\/y**5)*y)\/y))\/y)\/(y\/(y**(2\/7)*y)))\/((((y\/(y**(-1\/3)\/y))\/y)\/y)\/y*y*(y*y*y**(2\/5)*y)\/y) assuming y is positive.\nAnswer: y**(-887\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 165481\/4 = 41370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73b (base 15) to base 16.\nAnswer: 65f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 18*l - 3*m = 5, 3*l - 2*m = 3. Let y(a) = -30*a**2. Let c(q) = -q**2. Give l*y(u) - 50*c(u).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -36.2, 6\/5, -3, -0.33, -2\/7?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*l = 10, 3*n - 5 = 2*n - 2*l. What is the highest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose 22 = u*m - 0*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198072 less than 198072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-9 - -7) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose v + 3 = t, 4*t - 13 = -n*v + 6. Let i = 4 - v. Solve o + i = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 10 + (-4)\/(-2). Let d = 66 - 66. Suppose f*t - 6*t = d. Solve t = 4*s + s + h + 18, 5*h - 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/19 + 81\/855. Let h(p) be the third derivative of 0 - 1\/120*p**6 - 32\/3*p**3 - t*p**5 - 2*p**4 + 0*p - 4*p**2. Solve h(d) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 6*w**2 - 3*w - 2. Let q be i(-5). What is the tens digit of (-97)\/(-5) - q\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 5 - (2 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*2)\/((-1)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 27*x - 11. Let o be k(14). Suppose 29 = -o*d + 2. List the prime factors of d\/((1 - 1) + 17\/(-119)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 431, 1\/2, -0.3, -14 in increasing order.\nAnswer: -14, -0.3, 1\/2, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + -22 + 6 + -2 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -225 - 6*k**2 + 356 - 131. Let g(q) = -2*q - 3*q**2 + 2*q + q**2. What is g(t(f))?\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22115 + 22119. What is the nearest to -11 in h, -2\/9, -5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + -153. Let v be (12\/(-10))\/(6\/15) - z. What is the tens digit of v*(-1)\/(-2) - (2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*o + 3906 = 0, 4884 = 5*m - 4*o - 0*o. What is the greatest common factor of 36 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75002715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100100101101 (base 2) in base 5?\nAnswer: 10424321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 71*z**2 - 997*z + 60. Give a(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 4*f + 17*r - 108, f = -4*r + 14. Are f and 127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 5054041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40006962 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Calculate the remainder when (-405)\/18*(s + -4) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052818 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*v - 16, -2*z + v + 12 = -3*v. Solve -4*g = -3*r - 1, -2*g - z = -5*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 q when four letters picked without replacement from ggggggqggtwtw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + (-6 - 6) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*u - 2*u + 20 - 1582804*u**3 + 106 + 1582804*u**3 + 2455*u**5 wrt u?\nAnswer: 49100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**4 - 3*y**4 + 5*y**4)*(0 + 4 - 2) - 2*y**4 - y**4 + 2*y**4.\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6772 - 6769. What is the third biggest value in 3.3, -5, f, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.028 + -16. Let r = f - 0.0404. What is r rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 3*f**4\/4 + 3*f**3\/2 - 9*f**2. Let l be k(4). Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.28 + -0.059. Let a = n + 0.34014. Round a to 5 decimal places.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25917, 103658, 233225, 414618, 647837?\nAnswer: 932882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -1819, -4100, -7285, -11368, -16343, -22204, -28945?\nAnswer: -36560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -287*u**2 + 9*u. Let t be b(7). What is t rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 39. Suppose -22*n + 5044 = -v*n. List the prime factors of n.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/17, -1, 49?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 12*a**3 - 1406. Let o(u) = -3*u**2 - 14*u. Give o(b(w)).\nAnswer: -3888*w**4 - 504*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*y + 13551, -5*a = 766*y - 762*y - 18054. Round y to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13*o - 84 = 0. Let m = -7 + 0. Is o at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -21. Let g be 2*l\/25 - 454\/(-10). Suppose -g - 305 = -7*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 32*m - 68. Solve 0 = m*i - 16 + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 53498\/417?\nAnswer: 53498\/417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.104528 and 26.\nAnswer: 2.717728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3688 - -3687. Sort 5, -4, -9, q in ascending order.\nAnswer: -9, -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 77.9. Let n = -17.7 - r. Which is the nearest to n? (a) 2 (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/15 - u**4\/12 - 11*u**2. Find the second derivative of s(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:56 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16192400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + y = -0*y + 15, -4*y + 4 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31918.7606 + 31826.7605923. Let q = -87.6 - 4.4. Let i = w - q. Round i to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18070, 33932, 49794, 65656, 81518?\n\"Answer: 15862*r + 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7355 divided by 1\nAnswer: 7355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - -0.3. Let v be (((-56)\/3)\/(-14))\/((-182)\/819). Which is the nearest to -7? (a) 2 (b) x (c) 1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 4*u + 13000*u**4 - 3*u - 13023*u**4 + u**3 - 2 as x + c*u**3 + j*u**2 + b*u**4 + a*u and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210107*f**2 + 6923 - 214331*f**2 - 174 with respect to f.\nAnswer: -8448*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 4*m - 4. Let o = -34 - -11. Let y = o + 27. Calculate f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6836\/4)\/(11\/187). What is the tens digit of (1 + -3)\/((-34)\/c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**2 + 2342*r - 1564 = 0. What is r?\nAnswer: -391, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 11*x + 4*x)*(1 - 3 - 3)*((-2*x**2 + 0*x**2 + 0*x**2)*(-1 + 2 + 3) - 3 - 5*x**2 + 3 + x**2 + 2*x**2 - 5*x**2).\nAnswer: 675*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a century in decades?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 + 7*m - m**2 + 81 - 167 + 0*m**2 to i*m**2 + j*m + s and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 + 6*u**2 + 6*u + 6. What are the prime factors of q(-5)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195 - -52. Let l be b\/(-132) - ((-21)\/(-4))\/7. Factor l + 1\/3*z**2 - 2\/3*z.\nAnswer: (z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4464864 divided by 48\nAnswer: -93018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -11122?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**(-2\/5))**(-20)*u*u**(-8)*u*u*u*u*(u\/((u**6\/u)\/u)*u)\/u*u*u*(u*u**(-3)\/u*u*u)\/(u*u**(-6)) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*n = -4*f + 6, 3*f - 3*n - 30 = 0. What is the first derivative of 15*m**4 + 3*m - 72 - 4*m + f*m**4 wrt m?\nAnswer: 92*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1541 + 1541 + (5 - (-4 - 84))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -3*r**2\/2 + 2. Let j(f) = 20*f - 8*f - 15*f. Determine q(j(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 683\/5 - 137. Suppose 0 = -d + 5*d + 4. Let i = -2.99 + -0.01. What is the closest to a in 1, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*h = -750. What is the common denominator of 19\/26 and 1 - (h\/70 - 3)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/13 + 1522*o**3\/13 - 9180*o**2\/13 + 18392*o\/13 - 944.\nAnswer: 2*(o - 2)**3*(o + 767)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (9\/3)\/(-14 + 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*i - 8*i. Let c = i - 16. Suppose -2*x = 2*q - 10, c*q = -4*x - q + 20. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 0, -2*h = 2*h - 4*p - 72. Let l = -7 + h. Suppose -l - 4 = 3*k. Let u(j) = -j**2 - 7*j - 5. What is u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1314323 - 1426040248\/1085. Let l = s + 2\/217. Suppose 1\/5 + l*y**2 + 2\/5*y = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 3 - 1 + 2*l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*m)*(9 + 10 - 1) + (0*m + 3*m - m)*(-2 + 3 + 3).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((22372\/16)\/17)\/(15\/36). Let w = -198 + i. Let v be 1\/(2\/144) + 1. Which is the second biggest value? (a) v (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*c - 8 = 0, 6 = 1446268*v - 1446264*v - 5*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 2. Let k = 181287.99985 - 181283. Let m = k - d. Round m to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-10)*((-584)\/56 + 11)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96, 216, 404, 648, 936, 1256?\n\"Answer: -2*k**3 + 46*k**2 - 4*k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((145\/29)\/10)\/((-3)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*o - 4 = -4*o, 0 = -i - 2*o - 1. Suppose 8 = 5*c - 7. Suppose 0 = -0*f - c*f + i. Let z(r) = r**3 - 4*r**2 + r + 2. Give z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose 5*u - 2*k + 6 = t, 2*u - k = -4*k + 9. Let z be -3*(-4)\/12 + 3. Solve z*w - 8*w - 16 = u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6432 by -4.\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153801 and 1000017?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 3*z + 40*z**2 + 32*z**2.\nAnswer: 72*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = -66. Suppose 0 = 3*z - 6*z + 2*h + 129, 3*h = -9. Let l = j - z. Solve 0 = -3*p + 5*p + l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-1 - -2))\/2. Suppose -2*n = g - 5, -c*g + 9 = 5*n - 2. Let l(i) = -i**2 + i. Let o(v) = 7*v**2 - v + 3. Let p(t) = -6*l(t) - o(t). Determine p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 14. Let n = -97\/9 - u. Let x be 2\/(-22)*-2 + 0. What is the biggest value in n, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12548272268 - 0.06?\nAnswer: 12548272267.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079662 is divided by 1084.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.00255 and -35.\nAnswer: -35.00255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*-1.3.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138655757 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -40*n**2 + 18*n - 1. Determine m(2).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 0*f**3 - 5*f**3 + (-5*f + 3*f - 4*f)*(-f + 3*f + 2*f)*(3*f - 6*f + f).\nAnswer: 47*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.19224 weeks in milliseconds?\nAnswer: 48500266752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*g**4 + 187*g**3 + 3 + 249*g**4 - 3 + 2*g**2 - 43*g**3 in the form y*g**2 + t*g**4 + w + c*g + m*g**3 and give m.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 10*p**2 - 11*p - 13. Let c be k(-9). Suppose c*w - n = 1570, 5*n = w + 3*n - 314. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 + 194*b\/9 - 1340\/3.\nAnswer: -2*(b - 67)*(b - 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o + o**3 + (11*o**2 - 13*o + 13*o)*(2 - 2 - 2*o) + 0 + 0 - 2*o**3 - 72*o**3 - 636*o**2 + 636*o**2.\nAnswer: -95*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-2*sqrt(384)).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -112563198*m**2. Let q(h) = 5*h**2. Calculate q(v(b)).\nAnswer: 63352367719936020*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + c**3 - 6*c**3 - 5*c**3 + 6*c**3 - 3*c**3 + (2*c + 0*c + 0*c)*(2*c**2 + 1 - 1) to the form m + q*c**3 + u*c**2 + n*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 11*i + 8. Let g = -6 + -3. Let c be l(g). What is the common denominator of 4\/c*30\/(-108) and -45\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, o: 1, d: 9, p: 5}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:50 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1920 + 2104 = -46*u. Let c(f) = -13*f + 4. Let a(x) = -13*x + 5. Give u*c(v) + 3*a(v).\nAnswer: 13*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 9 + 95*k**2 - 49*k**2 - 45*k**2 in the form r*k**2 + u*k + s and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14833 is divided by 14800.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 111*k**2 - 122. Let n(g) = g**3 - g**2 + 7*g - 7. Let i be n(2). Is h(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 12*s**2 + 3\/4*s**4 - 11 - 12*s - 5*s**3. Let v(n) = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((((-1*sqrt(100) - sqrt(100))\/sqrt(10))\/sqrt(2))**2 - (2 + (sqrt(30)*1)\/sqrt(6))).\nAnswer: -sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8622 + 12413. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 - 5*r**2 - 6*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, 22, 4, 0 in increasing order.\nAnswer: -3, 0, 4, 21, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8600958 and 3232.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 335 (base 11) to base 15\nAnswer: 1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-495)\/4536 - (-3)\/24.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u**(1\/2)*u)\/u)\/u)\/u)\/u*u*u**(-12))**21 assuming u is positive.\nAnswer: u**(-525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -37. Calculate the remainder when 3\/5 - 292\/(-5) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9 = -6. Let w = g - -12. Calculate the remainder when 10 is divided by (-6)\/(-4)*24\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185490 and 16362.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -24)\/((-755)\/(-302)). Let q = -3 - -5. Suppose -5*u + 8 = -q*d + 3, -2*d = 2*u - 16. Sort 0, d, j.\nAnswer: j, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19166779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4153 - 2048 = 333*g - 207 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -253, -507, -759, -1009, -1257?\n\"Answer: n**2 - 257*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let c = 0 + h. Let o = c + -1.4. What is o rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:12 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -164, -160, -138, -92, -16, 96, 250?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2318 and 91\/1098?\nAnswer: 20862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1569 in 5, 2\/13, -61, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222319 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -104. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/32 and -79\/5368.\nAnswer: 21472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, 3, 4, 676 in descending order.\nAnswer: 676, 18, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*u + 5*b, 27 - 2 = 5*b. Suppose -6 = -u*o + 14. Suppose 75 = o*d - 9. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 = -15*i - 498 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 1628*t**2 + 196098*t + 6436872.\nAnswer: 2*(t + 69)**2*(t + 676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 834 divided by -3\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 52?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6742381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 1, -4.\nAnswer: -4, 1, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4*d + 4. Let n be b(-4). Let s = 2 - n. Let p = s + 7. Solve 20 = 5*l - p*r, -2*r - 3 = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.018, -413, -1, 2.\nAnswer: -413, -1, -0.018, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(1539) + -5 + (sqrt(1216) + -3*sqrt(1216))*-5))**2*3.\nAnswer: -53400*sqrt(19) + 11288625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**23))\/(s**9*s) assuming s is positive.\nAnswer: s**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, -5, 0.36, 0.2, -11 in decreasing order.\nAnswer: 0.36, 0.3, 0.2, -0.1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1005044 (base 9) to base 2.\nAnswer: 10000010101001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-14))\/(282\/(-42) - -5). Which is the smallest value? (a) -28 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*n**6*s + 9*n**4*s**3 - 3*n**2*s**3 + 4*n*s**3 - 3*s wrt n?\nAnswer: -8880*n**3*s + 216*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4120654 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7 (b) 2 (c) -2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076221377 to 5 decimal places.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(9*c - 2*c - 1 + c)*(0*c - 3*c + c).\nAnswer: -16*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 276, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*p + 5 = -5*p, 3*y + 2*p = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 3*d**2 + 6*d**2. Let s = -4 - -6. Let v(m) = 2*m - 2*m + s*m. Give v(q(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 3320*x + 952698\/5.\nAnswer: -2*(x - 57)*(x + 8357)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -20*p + 300. List the prime factors of (-10)\/p - ((-7881)\/15 - 2).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11809176906 plus 1?\nAnswer: -11809176905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4610*t**3 + 2*t**2 + 4457*t**3 - 2*t**2 + 1 as r + f*t + d*t**2 + l*t**3 and give l.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01642713 rounded to four dps?\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6859.01 - 1074.\nAnswer: 5785.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-5 - -3) + 10*-223*(-6 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l + 2*l)*(-l + l + 2*l**3 + 1 + 2*l**3 - 1 + (0 + 1 - 2)*(-l**3 + 2*l**3 + 0*l**3)).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.7, -480, -0.4, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2 + 338*l + 2499 wrt l.\nAnswer: 4*l + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-3 + 8 - -3 - 6 - -36)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*w = 133 - 105, -4*w - 12 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -2*c**3\/3 - 3*c**2\/2 + 5*c. Let y be z(-2). Let h = 106\/115 - 12\/23. Sort -4, h, y in descending order.\nAnswer: y, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 4*h**2 - 2*h**3 - 63*h + 0*h**3 + 65*h as c*h**3 + o*h + f*h**2 + t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 43, -2\/41, -7, 34, 4\/7, 2\/11?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 6 + 30*q + 6 + 11*q - 92*q + 34*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51.668766 nanoseconds?\nAnswer: 0.000000000014352435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -140171 = -140171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-15) - 35799\/(-15) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3107544391.\nAnswer: 7, 607, 731359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) - (sqrt(352) + (sqrt(352) + 1*sqrt(352)*5 - sqrt(352))) - (1*sqrt(352)*5 + sqrt(352)))\/(-1*sqrt(24)\/(sqrt(9)\/sqrt(3))))**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2559 - 2080. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.008 and -0.85.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 14*l**2 + 17*l - 29. Let m be w(15). What is the remainder when -6 + 0 + 2 - (-432)\/6 is divided by (m\/(-2))\/(4\/(-16)) + 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + -4 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/20*(-11 + 6). What is the nearest to -0.1 in -4\/3, m, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -945.\nAnswer: -4\/945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -6752468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(448)*-1)**2*3 + ((sqrt(567) + -2*sqrt(567))**2 + (sqrt(77)\/(sqrt(99) - sqrt(11)))**2 - (-2 + (sqrt(7) - 2*(sqrt(7) - (sqrt(63))**2)))).\nAnswer: sqrt(7) + 7131\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-4)*51\/(-9). Let m = 69\/2 + t. Let k be (3 - -3)\/3 + -3. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omsp when four letters picked without replacement from {o: 4, s: 1, m: 4, p: 1}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28241\/54 + -523. Let x = p + 59\/270. Sort x, -0.3, 3 in ascending order.\nAnswer: -0.3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020*s = -131*s + 295391 - 56630 for s.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d*d**3)\/(d**(-3)*d**(-6)*d) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 51 - (-3)\/(-1). Let a = -33 + h. Let z = -1443 + 1651. What is the remainder when z is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2957*b**6\/60 - 3*b**5\/20 + 13*b**4\/24 - 2*b**3\/3 - 2*b**2 - 932*b. Find the third derivative of v(g) wrt g.\nAnswer: -35484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 4. Let g be (8\/w)\/(56\/20). Factor -2\/7 + 0*v + g*v**2.\nAnswer: 2*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.108 and -117.16272882?\nAnswer: 117.27072882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, -53, 2\/3, -2.34 in increasing order.\nAnswer: -53, -2.34, -0.5, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = x - 13, -5*a = 4*x - 10. Let t be -15*(-4 - -3)*-1. Let b be x\/t - (-4)\/21. Are 0 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -45 (b) 1 (c) -5 (d) -2 (e) -1 (f) -0.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 132\/74801?\nAnswer: 132\/74801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.84434 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4\/5 + 50104*x**3\/5 - 30290964*x**2 - 34398408528*x\/5 = 0. What is x?\nAnswer: -212, 0, 6369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 b when four letters picked without replacement from bbbbbbtbbbbbbbbtbb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - 26)*4\/(-26). Solve -r - a = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900977.2 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysyvshy. Give prob of picking 1 y, 1 h, and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 0*g = 5*g + 4*x - 128, -64 = -2*g - 2*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/5, -4, 36, 156, -18.\nAnswer: -18, -4, -2\/11, 2\/5, 36, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 5, -1, -15, -37?\n\"Answer: -4*y**2 + 14*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 0, 0*q = -2*q + 4*o + 6. Let r = 5 - 5. Suppose 0 = -r*g + g - 11. Calculate the greatest common factor of g and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3 = -4*a + 2, -10*k - 23724*a - 22 = -23720*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339430?\nAnswer: 2, 5, 17, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6977\/936432 + 6\/929. Calculate the common denominator of z and 151\/1260.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 1085489.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -2.1757 (c) -0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17792 = -206*u - 12024 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 161537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 662213 not equal to 662201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6 + 2?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*y = -y + 24, 4*r = -3*y - 25. Put 0, 1, r in increasing order.\nAnswer: r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from rrvljrrrrzlrzjjjez.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10014.\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 3. Suppose -3*n + 36 = 2*w, -n - u*w + 22 = w. Suppose 2*v - 14 = 4. Is n at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*s - 25*s + 10*s**2 - 27*s + s**4 to j*s + a*s**3 + x + c*s**4 + y*s**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(7\/(35\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 + 3*d + 2. Give j(4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/((-4)\/(-40)). Suppose b + 93 = -41. Let g = t - b. Calculate the remainder when g is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/8*252\/126*(-8)\/1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24308 - 1059. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 289*b - 479. Calculate the remainder when y(94) is divided by 97.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1122 - 111 = 56*t - 156*t - 789 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 4*b. Let a = b - 3. Let h be -3*(7\/3 - 3). Sort -5, h, a.\nAnswer: -5, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b. Let m(u) be the second derivative of -5*u**3\/6 + 48*u. Determine j(m(a)).\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-517)\/(-99) - (-2)\/(-9)) + -2. Let g be 7\/(-2)*(-2 - 0). Suppose 24 = g*m - m. Solve 0 = m*u - s*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35505353 (base 6) to base 13\nAnswer: 2cc8bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -27. Suppose -i*l = -7*l + 4. Solve 3*w = -2*x + w + 4, 0 = l*x - 4*w + 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-1)\/((-2)\/1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 36*n**2 - 56*n + 910. Calculate t(37).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6639273 is divided by 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*n + 3*n**3 - 753*n + 386*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/315)\/(4\/7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/((-152)\/(-20)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + (-88)\/(-9))\/((-2)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677b (base 12) in base 4?\nAnswer: 30323033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-20) - 46\/(-10). Let m(b) = -3 + j*b + 3 - 3*b. Calculate m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 7*v - 1566. Suppose -w = -m - v, 0 = w + 2*m + m - 194. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133337 is divided by 132962.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4535*f**3 + f**2 + 302*f - 4. Let j(o) = 9071*o**3 + 2*o**2 + 539*o - 9. Let r(y) = 3*j(y) - 5*p(y). What is the third derivative of r(g) wrt g?\nAnswer: 27228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -y + 21 - 5, 2*x - 4*y = 26. Calculate the remainder when 34 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*39*(918\/12)\/17.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3341?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29802447 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 15. Let t = 9 - a. Suppose 2*p + 45 = 5*s, 0 = s + t*p + 13 - 0. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.236*1944.581\nAnswer: 458.921116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, i: 7}. Give prob of picking 1 c and 2 i.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 543578 and 2513338?\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7516 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(2))\/sqrt(2) + 5*4*sqrt(17).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4)*638\/(-23925))\/((-2)\/(-6))\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1134211.7 - -1134259.700059. Let s = 48 - h. What is s rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -7\/5, 303, 4\/13, 1, -13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -382*n**3 + 5*n**2 + 28*n wrt n?\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 13*p**2 - 44*p + 151. Calculate t(6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*1\/((-10)\/8). Let p(l) = 3*l + 3. Let u(a) = a + 1. Let m(k) = o*u(k) - p(k). Let z(x) = -4*x - 4. What is -3*m(y) - z(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*i - 4*i - 182, 2*i + 3*o = 349. Suppose 0 = i*x - 162*x. Solve -q - 16 = 4*w, x = -2*q - 2*q + 4*w + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106998 and 20.\nAnswer: 1069980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.8 - 6. Let l = 3.97 - y. What is l rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 196, -61 in descending order.\nAnswer: 196, 4, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 597 + -597. Let i = -90 - -34. Let c be (-1)\/(-4) + 30\/i. What is the third smallest value in -3\/4, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h + 9 + 509*h**3 - 518*h**3 + 61*h**2 - 60*h**2. Let v(w) = 8*w**3 - w**2 - 6*w - 9. Give -6*j(x) - 7*v(x).\nAnswer: -2*x**3 + x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**3\/39 + 40*c**2\/13 - 800*c\/13 - 17. Let j(d) = 0. Calculate d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 4 - 12*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -55, 4.\nAnswer: -55, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 74*o - 146*o + 79*o. Let i(n) = 16*n. What is i(w(p))?\nAnswer: 112*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -444, 281, 1006, 1731?\n\"Answer: 725*c - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/20 + m**4\/2 + m**3 + 5*m**2\/2 - 38*m. Let q be x(-5). Let z(t) = 4 - 47*t + 48*t - 3. What is z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppppppp. Give prob of picking 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let k = -1\/8593 + 8598\/42965. What is the smallest value in 4, k, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/20254 and -29\/820?\nAnswer: 202540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291418*m + 1 + 145679*m + 145746*m - 1.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 62b4?\nAnswer: 62b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -2*i**6\/15 + 5*i**3\/3 + 5*i**2. Find the first derivative of h(v) wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 46*b = -13*b - 418. Solve b*v - 21*v = -5*z + 7, -z + 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -407 + 406.6. What is the closest to 2\/13 in 0.05, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11755 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -7*n**7\/30 + 7*n**6\/12 + n**5\/20 - 5*n**4\/6 - 2*n**3\/3 + n**2. Let z(o) = 0. What is o?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3474 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 91*w**5 - 3 - 88*w**5 - w**5 - w**2 + w**2 + 0 + w**5 + 0 + w**5 - 3*w**5 + w**5 + (w - w + 2*w**5)*(-1 + 5 - 2) - 3*w**5 + 3*w**5 - 2*w**5.\nAnswer: 4*w**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 190369 - -13?\nAnswer: 190381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84\/11 - -4211\/550. Let w(u) be the second derivative of 8*u - 1\/15*u**3 - r*u**5 + 1\/15*u**4 + 0 + 0*u**2. What is f in w(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 5*f. Let c be n(3). Let r = -13 - c. Let g = 18 + r. Calculate the greatest common factor of 44 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61750 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7284*-0.00541.\nAnswer: 39.40644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22168412 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 10*m - 3. Let w be z(3). Let j be (-3)\/((-24)\/10)*4. Suppose w = j*s - 13. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-252)\/(-15) + -10 - 5)*-5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1486, 1539, 1614, 1717, 1854, 2031, 2254, 2529?\n\"Answer: l**3 + 5*l**2 + 31*l + 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(4\/(-12) - -1). Suppose -4*l - 3*b - b = -4, -l = -w*b - 9. Solve 3*y - 6*y - l = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36015 - -36014.99989893. Round k to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/11571970 and -5\/441474.\nAnswer: 381875010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1571\/2 - 785. Which is the second smallest value? (a) -1\/4 (b) -10 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 9. Let m be a(7). Let i(q) = -9*q - m*q + 8*q. Let k(r) = 25*r**2 + 17*r**2 - 59*r**2 + 20*r**2. What is k(i(f))?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2. Let v(g) = -24*g**2 - g. Let p(a) = a**2 + a. Let z(c) = c**2 + 12*c - 12. Let d be z(-13). Let u(n) = d*p(n) + v(n). Determine x(u(t)).\nAnswer: 2645*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -187, -0.03, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10 + 91\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 99, 218, 385, 600, 863, 1174?\n\"Answer: 24*s**2 - s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24773.2 - 30194.\nAnswer: -5420.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*v + v - 3811 = 0, -4*y + 5083 = 3*v. Let l(r) = -r**3 - 10*r**2 - 9*r - 88. Let g be l(-10). Suppose 0*z - y = -g*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1530 divide 15951780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t - 1\/420*t**6 + 1 - 1\/7*t**4 + 8\/21*t**3 + 1\/35*t**5 - t**2. Let j(v) be the second derivative of q(v). Factor j(g).\nAnswer: -2*(g - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-7))\/(m**(2\/11)\/m))\/((m**(-4)*m)\/(m*m**(2\/7)\/m))*((m\/(m*m**(1\/3)))**(14\/5))**(-2\/31) assuming m is positive.\nAnswer: m**(435536\/35805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/1261 (b) -0.2 (c) 2 (d) -5 (e) -0.1 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1684.7 - 0.291.\nAnswer: 1684.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4\/8*16\/(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1054540 to the nearest one thousand.\nAnswer: -1055000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 106, 187, 300, 457, 670, 951, 1312?\n\"Answer: 2*o**3 - 2*o**2 + 53*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (92\/14 + -7)*1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**3 + 3\/10*h**5 + 0*h + 24*h**2 - 4\/3*h**4 + 0. What is the second derivative of u(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssy when three letters picked without replacement from sssbyab?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2476525 divided by -295.\nAnswer: 8395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from {r: 4, e: 3, a: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (3 - 25) - (10 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 78*a = 79*a - 112, -2*w + 4*a = -254. Calculate the highest common divisor of 312 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 10*a**3 - 619 + 619.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) - (-1001)\/4620. Let b(n) be the third derivative of -1\/6*n**4 + 0 + 0*n - 8*n**2 + 2\/3*n**3 + w*n**5. Calculate b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -181, -185, -191, -199, -209, -221, -235?\n\"Answer: -t**2 - t - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/8)\/(1\/(-4)). Let h = r + 11. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/392 and 15\/301.\nAnswer: 16856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-38)*1 + 792\/57. Let w be 28\/49 - 22\/r. What is the tens digit of w\/1*73*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p**(1\/2))**(11\/3) assuming p is positive.\nAnswer: p**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 0*h**2 + h**2 + (-5 + 5 + 2*h)*(-7 + 3 - 3)*(47*h - 94*h + 43*h) + (6*h**2 - 2*h**2 + 0*h**2)*(-5 + 3 + 0) as f + t*h**2 + v*h and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 353 - 396.4. Let m = v - -43. Which is the third smallest value? (a) 2 (b) 1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212142 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 761, 1200, 1669, 2168?\nAnswer: 2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {q: 1, x: 1, c: 2, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 58*k + 435. What is f(29)?\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + 3. Let y = u + -1. What is the nearest to 1 in y, -0.1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = 6*c + 318 - 1092. Solve 246*d = 240*d - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5\/8 + 9*a**4\/8 - 3*a**3\/8 - 9*a**2\/8 + 3*a\/4 = 0. What is a?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -5*w, w + 3 + 0 = -g. Let r = w - -6. Suppose 3*v - 63 = -4*s, -s = 4*v - 8 - 11. What is the remainder when s is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-3) + 21\/3. Factor 10*j - 7*j - p*j - 2*j**2.\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422910 by 23495.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589663*c + 589659*c - 5*t - 66 = 0, 4*t + 15 = c + 3*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1466414 and -43.\nAnswer: 63055802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - -2*(sqrt(168) + 2*sqrt(168)) - sqrt(168) - sqrt(168))\/(sqrt(112) - -1*sqrt(112)))\/(((2*sqrt(96) - sqrt(96))*3)\/(sqrt(36)\/sqrt(3)*-1)).\nAnswer: -5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*d**3 + 5*d**2 + 1 + 8*d**3 - d - 1 - 2.\nAnswer: -(d - 2)*(d - 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*2\/4*2*-2. Sort -6, q, 0, -69.\nAnswer: -69, -6, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(5) + 1))**2*4.\nAnswer: 600*sqrt(5) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 7*w - 4. Let u be 1\/(1 - (-7)\/(-6)). Let n be y(u). Let g = -0.09 - -0.19. Put -4, n, g in decreasing order.\nAnswer: n, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16*c*(c\/((c**(-36)\/c)\/c)*c)\/c)\/(c**25*c**7) assuming c is positive.\nAnswer: c**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (115*d - 124*d + 1 - 3)*(d - 4*d + d) in the form c + r*d**2 + l*d and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 2. Suppose 2*l = 4*t - 6, -5*l - 4*t - t + 30 = 0. Suppose x - l*x = -4. Suppose 1 = 3*k + 2*z, 2*k - x = k - z. Give v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26339285*0.5.\nAnswer: 0.131696425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = 3. Let q(o) be the first derivative of -19*o**4\/4 - o**3\/3 - o**2\/2 - o + 13. What is the units digit of q(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 937592*-41.\nAnswer: -38441272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3047 + -0.326. Let o = n - -95.1213. Round o to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 + o. Let g be r(-6). Let q = g + 9. Suppose -2*w - q*v = -7, 46 = 5*w + 2*v + 12. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6883 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27029953\/30 + -900886. Let h = o + -583\/5. Calculate the common denominator of (-4)\/14 + 2985\/378 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 566083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2427053347?\nAnswer: 2427053347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5577980 to the nearest integer?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399447465?\nAnswer: 3, 5, 26629831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124519 != 3124521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 43\/3, 4, 35, 1, 7, -37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {c: 5, p: 1, q: 3, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -116. Calculate the least common multiple of 52 and k.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -0.0675?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**4 - r**4 + 2*r**4 + (-4*r**2 + 5*r**2 + 5*r**2)*(-4*r**2 + 2*r**2 + 4*r**2).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 31*w**2 + 32*w - 20. Let q be v(30). Suppose -q*k + 35*k = -30. Solve 4*o - k + 26 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1.6, 4.923, -11?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:28 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + -1*sqrt(143)*4)\/(sqrt(132)\/(sqrt(12) - sqrt(192)) - sqrt(11)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593, -1194, -1797, -2402, -3009, -3618, -4229?\nAnswer: -4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21924)\/406 - 549\/(-12).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*g**2 - 8*g**2 + 13*g**2 + (g + 2 - 2)*(-3*g + 2*g - g) - 14*g**2 + 27*g**2 - 12*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 5\/2*k**2 - 6 + 3*k. Find the first derivative of j(p) wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64579 - -11772. What are the prime factors of g?\nAnswer: 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5\/3*s**2 - 2\/3*s**5 + 0 - 13\/3*s**4 - 16\/3*s**3 = 0. Calculate s.\nAnswer: -5, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 13. Is 13 a factor of m(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*u - 1520 - 400 = 1049*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 + 4. Let t = -36722\/99 - -3205\/9. Let z = 15 + t. Which is the biggest value? (a) 1 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*b**2 - 9*b**3 + 584*b**2 + 12*b**3 + 582*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3\/3 + 2. Let a(j) = -7*j**2. What is g(a(s))?\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((5 - 6) + -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*o**(9\/5))*o)\/o)**(-31))**(-2\/7) assuming o is positive.\nAnswer: o**(-248\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, -4, 2\/5, 4\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335 and 50.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*k**4*q**2 + 4*k**4 + 3*k*q**2 - 223*k wrt k.\nAnswer: -564*k**2*q**2 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 12, m: 7, c: 1}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2448) + (5 + sqrt(2448)*1 - sqrt(2448)) + sqrt(2448) - (-4 + 2*sqrt(2448) + sqrt(2448)))*-2*-2)**2.\nAnswer: -31104*sqrt(17) + 364176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1145143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 30270.83t?\nAnswer: 30270830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 5*h - 4. Let o be 1\/(2\/(-72)*-6). Give b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, l: 1, n: 1, k: 1}. What is prob of picking 1 l and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-6))\/((378\/(-8))\/(-9))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 864 = 3*y, -y + 576 = y - 3*a. Calculate the highest common divisor of y and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 3. Let c(s) = 190*s**2 + s + 192. Let w(h) = -c(h) - v(h). What is the derivative of w(u) wrt u?\nAnswer: -380*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9*21\/1. Suppose p = -2*i + w, -3*i - 5*p + p = -11. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**3\/3 - 2*d**2 + 14*d + 13. What is the least common multiple of p(-4) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + -1 + -3 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.026.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -q + 18, -22*v - 3*q = -19*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 421\/4. What is y in -3\/4*y + 1\/4 + b*y**2 - 1\/4*y**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**2\/2 - 5*u + 7. Determine i(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1332 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*l - 3*b, -4*l + b = -4 + 24. Let k = -4 - l. Suppose 2 - 10 = -k*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173 (base 9) to base 5.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -13, 2, -1\/10, -1\/16, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -0*d. Suppose -2*g = -d - 2. Solve 4*p + 7 = -w - 6, w - 5 = g*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -2\/7 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5*f*f\/(f*f*(f*f**(-1\/4)*f)\/f*f)*(f\/(f**0\/f))\/(f**(-1\/4)\/f) assuming f is positive.\nAnswer: f**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -8*(-1)\/(-2). Put a, 5, -0.04 in increasing order.\nAnswer: a, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 6:58 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7)*c*(c\/c**(-9))\/c)**37*((c**(-1)\/c)\/c*c**(-3\/4))\/((((c*c*c**1)\/c*c)\/c*c)\/(c\/((c**(3\/2)*c*c)\/c))) assuming c is positive.\nAnswer: c**(10573\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*b + 4*n - 1, 4*b + 5*n = -7. Let x = -7 + 7. Let l be -2*2\/4*x. Solve 6 = -b*f - l*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 + 7*v + 9. Let y(d) = d**2 - 10*d + 16. Let t be y(7). List the prime factors of f(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/(-10)*(-28)\/(-42)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 0.1, -0.5, 3.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1838, -3671, -5504, -7337, -9170?\nAnswer: -11003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -52974*j**3 + 953282*j**2 - 4286394*j - 20250 = 0?\nAnswer: -125\/26487, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 304*y. Let x(k) = 2*k**2 + k + 18. Let t(z) = z**2 + z + 18. Let p(g) = 3*t(g) - 3*x(g). What is p(n(f))?\nAnswer: -277248*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10100120121?\nAnswer: 10100120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 673397.\nAnswer: 20201.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2155a + -5?\nAnswer: -21561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-102)\/9 + 6\/(-9). Let v be 1\/(-2)*(-1 + c\/(-28)). Factor -4\/7 + 2\/7*z**2 + v*z.\nAnswer: 2*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:15 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 4*s**3 + s**3)*((5 - 2 - 4)*(-3*s + 0 + 0) - 5*s + 2*s + 2*s).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*a**4 - 48*a**2 + 308*a**4 + 29*a**2 + 19*a**2 - 301 wrt a.\nAnswer: 1568*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*t**3 - 9054*t**4 + t**2 + 9012*t**4 + 5*t - 31*t**3 to a*t**2 + x*t + j + o*t**4 + z*t**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*x**2 + x**2 + x**6 - 6*x**6 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-n**2 + 2 - 2)*(0*n**2 + 0*n**2 - n**2) - n**3 - 2*n**4 + n**3)*(-20907 + 19681 + 25385 + 33254) as i + o*n**2 + p*n**3 + x*n + v*n**4 and give v.\nAnswer: -57413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29609 + -28566. Calculate the greatest common divisor of 42 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g. Let q(r) = 4159*r. What is v(q(j))?\nAnswer: -20795*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 2*d - 6, -5*j + 11 = 36*d - 32*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 264309 or 264313?\nAnswer: 264309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + b = -0*s + 12, 32 = 3*s + b. Let l be 62\/(-14) - 2\/((-4)\/s). What is t in 0 - l*t**3 - 4\/7*t**4 + 4\/7*t**2 + 4\/7*t = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3106 = 3*x - 322, -2*l - 4*x - 3456 = 0. What is the remainder when l\/(-48) + (-1)\/(-6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 0*u**4 + 0*u**4 + (2*u + 2*u - 2*u)*(8220*u**2 + 116*u**3 + 192 - 8218*u**2 - 108*u**3).\nAnswer: 15*u**4 + 4*u**3 + 384*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asaqaaaaaasaaasaqaaa. Give prob of sequence qaq.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 182?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 131. Calculate the common denominator of 2 + 0 + b\/(-20) and (-1260)\/16*2\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 55*n**3 - 20*n**2 + 20*n. Let l(r) be the first derivative of 0*r + 3\/2*r**2 - r**3 - 1 + 2*r**4. Calculate -20*l(o) + 3*u(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 13) to base 7\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/3 + 7 + 22\/(-3). Let z = 72 + -23. What is the greatest common divisor of z and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 - (17 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h**4\/5 - 213*h**3\/5 - 1224*h**2\/5 - 1872*h\/5 + 768\/5 = 0. Calculate h.\nAnswer: -16, -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + 2)*(-20)\/(-14). Suppose -2*p - 3*p = -2*u + 57, p + 2*u + 21 = 0. Let b = p - -17. Solve -d = b*d + g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + q = 2*q, 5*q = -2*b + 24. Solve 4*a = -5*s - 7, -s - b = 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 799.9777 - 180.2461. Let t = -799.731497 + y. Let o = 180 + t. What is o rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let s(z) = -5 - 6*z - 2 - z**2 + o. Let g be s(-4). What is the greatest common divisor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -16. Suppose 0 = -0*d - d + 27. Suppose 7 = -r*q + d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0.072 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 13*m**2 + 19*m - 6. Let g be q(-2). Solve -5*v - f + 29 = g, -2*v + 8*f = 4*f + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39284.1*-4\nAnswer: 157136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 90*3\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/20 + b**4\/4 + 2*b**3\/3 - 7*b. Let o be l(4). Put -4, o, 4 in increasing order.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 146, 1397, 3494, 6443, 10250?\n\"Answer: f**3 + 417*f**2 - 7*f - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*r + 57*r - 150. Let g(v) = 8*v. Let q be g(3). Let x = q + -12. Solve -r*z = -z - x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 181215\/(-16108)*16\/3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*l + 2*k, 0*l + 5*l + 5 = 5*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2*n + 53 = w, -5*n - 29 = w. Let a(x) = -x**3 - 3*x**2 + 7*x + 17. Let f be a(w). Let s = f - 93. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-190)\/88) + 58409\/(-17972)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Let r = 1058 - 1054. Suppose 0 = r*y + 5*g - 307, -u*y - g = y - 327. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371*f**3*r**2 - f**3*r - 8*f**3 + 47*f**2*r**2 - f**2 wrt f?\nAnswer: 2226*r**2 - 6*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002287 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/4)\/s**(2\/11) assuming s is positive.\nAnswer: s**(47\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (162 - 161)\/((-14)\/(-6) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1626546808, -3253093616, -4879640424, -6506187232, -8132734040, -9759280848?\n\"Answer: -1626546808*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000690329049 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4755835 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 22. Let v be c(-6). Solve 2 = v*r + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.047 + -5.247. Let t = -5.1942 - m. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -363*v - 131 - 1321 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.57 minus 0.113609176?\nAnswer: -2.683609176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/(w*w**(-1\/3)\/w))*w*w*(w**(-2\/21)*w)\/w*w*(w**(-1))**(-18) assuming w is positive.\nAnswer: w**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(396) + -4 + sqrt(396) + -2*5*sqrt(891))**2.\nAnswer: 624*sqrt(11) + 66940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366 or -9114\/25?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, z: 8, j: 1}. Give prob of picking 2 z.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 - 4*n + 5. Let c be f(-5). Suppose c*t = -5*t - 8050000. What is t rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 62 = 4*x. Suppose 0 = -2*p - 2*p - 48. What is the common denominator of -41\/22 and (147\/x)\/(p\/20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/168 and 151\/(5\/(-10) + 833\/(-14))?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7535 and -49\/24855?\nAnswer: 37456485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 7*a + 1. Let v be l(7). Is v - -1 - 1*-20 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1303121524 or 1303121523?\nAnswer: 1303121524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36828963 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: Let y = 9 + -14. Let c = 9 + y. Let r = 299 - 299. What is the second biggest value in r, -5, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**2\/5 - 205422678*q\/5 - 3516539719724307\/5 = 0?\nAnswer: -34237113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5126 - -18398. Is l a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/7 - 992752*y**2\/7 = 0. What is y?\nAnswer: 0, 496376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83524, -167247, -250970?\n\"Answer: -83723*h + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284229 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + c. Suppose 0 = -4*t + 41 - 37. Let s(a) = -2*a**2 + 3*a + 3. Calculate t*s(o) - 3*m(o).\nAnswer: o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2. Let u(b) = -38*b - 5. What is u(v(l))?\nAnswer: 190*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 0.16.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7130?\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338595529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h)*(-h - 3 + 3)*(-10*h**2 - 3*h**2 - 9*h**2 + 4 - 4 - h**2 + (3*h - 5*h + h)*(-1 + 1 + h)).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (sqrt(216)*-6 - sqrt(216))\/sqrt(2)))**2.\nAnswer: 2100*sqrt(3) + 132325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279.99742 - -280. What is m rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 47. Let d(h) = -13*h + s - 3. Let t(i) = i. Determine d(t(k)).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from xppypppppxpxppyypp?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017662 to the power of 1\/2, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/12)\/(1\/(-12)). Let z = r + 46. Suppose -6*v = -v + 3*n - z, 3*v - 5*n = 22. Solve 0 = v*u - 4, -5*q - 3*u - 10 = 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -545.99999473 + 546. Round w to 7 decimal places.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 45. Let r be (-629)\/15 - (-6)\/(-9). Let w = z - r. Is w >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 2*r**2 + 6*r + 5*r)*(3 - 3 + 2) - 3*r**2 + 6*r**2 - 6*r**2.\nAnswer: 3*r**2 + 22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -135*k**2 - 11*k - 11. Suppose 1806*i - 901*i - 220 = 925*i. Let t(b) = 45*b**2 + 4*b + 4. Determine i*t(n) - 4*c(n).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 4*r. Calculate h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-90))\/(-10*(-5)\/260)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161738 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 679885 + 679861 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5544?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87955450 divided by -7995950.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*j = 53*j - 2*b + 22, -b + 39 = -5*j. Suppose 0 = -3*u + 2*m - 13, -2*u = -6*u + 3*m - 18. Sort -2, j, u in descending order.\nAnswer: -2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let l = 3 - f. Suppose -2*j - 3*j + 30 = l. Solve j = 3*a, 0*w + 11 = -3*w - 2*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:56 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 22*s**2 - 22*s - 17. Let a be b(-21). Suppose -3*f + z = 3, -f + 0*f - 2*z = -6. Solve -3*i + 0*i - 5*o = 28, f = -a*i - o - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 10*l - 7. Let t be ((-1 - -1) + 2)*(-36)\/8. Let h be y(t). What is the tens digit of h + 2*-3 + 180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:28 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 6. Let c(m) be the first derivative of -m**3 - 133. Determine b(c(j)).\nAnswer: -36*j**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*n + 223 = 0, -3*w - 4*n = -209 - 83. Calculate the highest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 16\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 11 + i - 9)*(-1 - i**4 + 3 + 0*i**4).\nAnswer: i**5 - 2*i**4 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 10*j**2 + 10*j + 12. Let h be r(11). Let w = -184 - -63. Let n = w + 845\/7. What is the closest to -2\/9 in h, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23\/10 - -14\/5. Let m(v) be the second derivative of v + x*v**3 + 1\/4*v**4 + 1\/2*v**2 + 1\/20*v**5 + 0. Suppose m(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 58 = 2*l, r + r + 320*l = 317*l - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 4*p - 4*p)*(-4*p - 7*p - 59*p).\nAnswer: 350*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -4, -75, 135\/14 in decreasing order.\nAnswer: 135\/14, -4, -63, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9230 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -269, -593, -1037, -1595, -2261?\n\"Answer: f**3 - 69*f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 2. Let z = -75 + 79. Calculate l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - (-2 + 3)) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97284301489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2362 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330244 rounded to the nearest 10000?\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + 13 + -64 - (0 + 2 + -16).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1823 + 1817. Let s(h) = h**2 - h - 1. Let i(r) = -r**2 + 3*r. What is u*s(w) - 2*i(w)?\nAnswer: -4*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202102232310 + 0?\nAnswer: -202102232310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -5. Calculate the remainder when t is divided by (-36)\/(-14) - 9\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77d (base 15) to base 14\nAnswer: -88d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13810, 5, 4, 1\/2 in ascending order.\nAnswer: -5, 1\/2, 4, 5, 13810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5 = -3*o, 2*o + 18 = -4*p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 9*g.\nAnswer: -g*(g - 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -0.055, 4, 0 in ascending order.\nAnswer: -65, -0.055, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 5, 9, 13, 17, 21?\n\"Answer: 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 2\/85, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -2. Let n(t) = -5*t + 40 - 88 + 3*t + t + 42. Give n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 2312?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 13*q**7\/14 - 7*q**5\/60 + q**4\/3 + 159*q**2. Find the third derivative of v(a) wrt a.\nAnswer: 4680*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 243110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647.463903 to the nearest integer.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424*u**3 + 595*u**3 + 1352*u**3 + (1 - 3 + 1)*(-1 + 1 - u**3) + 0*u**2 + 0*u**2 - 2*u**3 to the form g*u**2 + r*u + i + d*u**3 and give d.\nAnswer: 1522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-16) + 183\/24. Let x(f) = -f**2 - 8*f. Let s be x(-4). Calculate the highest common factor of s and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3367 + 3.6633. Which is the nearest to -2\/7? (a) 0 (b) s (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1831635.8 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/7, -3\/55, 0, -3\/15943?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - n + n + (3*n - 5 + 5)*(-3 + n + 3) + 5 + 6*n**2 - 5 + n - 2*n**2 - n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 + 2\/(-2). Let g = -0.17 + -0.13. What is the closest to o in -2, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/11, -2, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000101011 + 100?\nAnswer: 110000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -664\nAnswer: 11\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1014 + 1834. What are the prime factors of h?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*d - 750 = 0, -d + 334 + 163 = 2*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 2:50 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 9936387.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*x + 314 = 4*l, -4*l + 2*x + 628 = 0. Let g = l + -154. Solve 4*o - 2*s = -0*s + 16, -g*o = 2*s - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 8:15 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p + 73 + 15 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*a + 397*a = -14660000. What is a rounded to the nearest 100000?\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104524 and 3094.\nAnswer: 23099804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 3) + -10 + 1 + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 261\/10. Let m(z) be the second derivative of -3*z - 1\/20*z**4 + 3\/5*z**2 + 0 - n*z**3. Suppose m(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + q = -2335, 5*m - 2548 = 6*q + 9122. List the prime factors of m.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 85039.43 years?\nAnswer: 8503.943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3 + 84*h**2 - 1920*h + 6400 = 0.\nAnswer: 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11226*w**2 + 24*w**3 - w**5 + 11116*w**2 - 120*w**3 wrt w.\nAnswer: -60*w**2 - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*l + 2716 = 0, -2*b = -2*l + 4*l - 1824. Let k = b - 351. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*z - 226*z = 1479. What is the greatest common divisor of z and 1428?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 15*b**2 + 125*b - 9. Give n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1610 smaller than -1609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 51. Let d be l(18). Which is the second biggest value? (a) d (b) -1\/30 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 992775, 3971119, 8935025, 15884493, 24819523, 35740115?\nAnswer: 48646269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 4396 = 212. Calculate the greatest common divisor of 32 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 - 534 - 8*t + 18*t**2 + 0*t**4 + 510 = 0 for t.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 + 11*z - 7. Determine s(7).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 772715312 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 43234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 + (12\/(-20) - 304\/(-40)). Put -276, 3, x in decreasing order.\nAnswer: 3, x, -276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3089\/4 in 301, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 11*v - 6*v - 2*u + 41, -703*v - 3*u + 19 = -707*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8268\/14768)\/53*((-128)\/(-12))\/(-4).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -14*a**5\/5 + a**4\/4 + a**3\/3 + 2*a - 35. What is the third derivative of g(t) wrt t?\nAnswer: -336*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 2. Let r(a) = -3*a**2 + 6*a + 12. Let x(w) = -w**2 + w + 2. Let m(j) = -r(j) + 6*x(j). What is m(v(z))?\nAnswer: -12*z**2 + 24*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:07 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18991955 is divided by 83298?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.373 + 0.573. What is the second biggest value in s, 13, 0.07?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015038 rounded to 5 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39b01c (base 13) to base 11\nAnswer: -8731a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.463446 and 4.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*o**2 - 81 + 141*o**2 - 238*o**2.\nAnswer: 34*o**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 680\/18 - (-2)\/9. Let n = 28 - 54. Let p = n + h. What is the greatest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Let o(c) = c**2 - 22*c - 65. Let k be o(-3). Sort -3, t, 2, k.\nAnswer: -3, 2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -51. Let t = h - -36. Calculate the highest common divisor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7973, -7970, -7963, -7952, -7937, -7918?\n\"Answer: 2*d**2 - 3*d - 7972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, -5, 0 in descending order.\nAnswer: 1, 0, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*v + 32060000 = -171*v. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(7) + 0 + 2 + (sqrt(7) - (sqrt(14)\/(2*sqrt(2)))**2) - sqrt(56)\/(sqrt(288) + sqrt(288)*-2)) + 4)*-5.\nAnswer: -65*sqrt(7)\/6 - 93\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 106. Let o(u) = 2*u - 153. Let g(r) = 5*o(r) - 7*x(r). Calculate g(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 75 = -5*b, -4*m - 43 = -2*b + 41. Let p be 4 - -29 - -4 - 3. Let f = m + p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -202, -538, -1060, -1798, -2782, -4042, -5608?\nAnswer: -7510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.472 - 21.3956.\nAnswer: -21.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 - 10*x**3 - 3*x**3 + (x + 3*x - 7*x)*(-3*x**2 + 5*x**2 + 0*x**2).\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (0 - 311\/44). Let k = -41\/4 - n. Let d = 0 + 4. Which is the biggest value? (a) k (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 666.704 years to decades.\nAnswer: 66.6704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 4824353150?\nAnswer: -4824353150.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87465971 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -45555*m**2 + 2*m - 3. Let i be n(-3). Let j be -4 + (3 - i) + -3. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1413769569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -826378, -1652757, -2479136, -3305515, -4131894?\n\"Answer: -826379*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5455616*r**5 + r**2 + 2*r + 87015.\nAnswer: 327336960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521260682 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -32*(-3*1 + (-20)\/(-8)) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0178, -0.09, -0.1, 1\/6 in descending order.\nAnswer: 1\/6, -0.0178, -0.09, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.9 + 1.9. Which is the nearest to -1? (a) 1 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21 - -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/5 - 1796*m - 8762724\/5 = 0.\nAnswer: -7866, -1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42 (b) 5 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + b?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/52 - 8307\/(-3692)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (2 + sqrt(304) + sqrt(304)) - (1 + sqrt(19) + -2).\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 4. Let l(g) = 3*g - 19 - 6*g + 6. Let o be (-4 + 5)*3 + 4. What is o*k(v) - 2*l(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.1, -1\/6, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 = -4. Let y(p) = 6*p**3 - 2*p**2 - 5*p - 4. Let g(i) = -7*i**3 + 3*i**2 + 6*i + 4. Let d(l) = x*y(l) + 5*g(l). Factor d(k).\nAnswer: (k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 237874828506954?\nAnswer: 237874828506953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1150 or -32167\/28?\nAnswer: -32167\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1\/(-2))*0. Let x be (b - (2 - 3))*2. Let v(z) = z**2 - 2*z + 3. What is the units digit of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/6237 and -137\/3402.\nAnswer: 37422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4083614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5250*w - 3982*w + 8142*w + 158050 for w.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*a**2 + 42*a**2 + 29*a**2 - 24*a**3 wrt a.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*1 + ((-24080)\/(-176))\/(-35))\/((-2)\/(-11)). Let 0 - 1\/2*b + w*b**2 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57058 or -57060?\nAnswer: -57058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 188*p - 186*p)*(-1 + 1 + 2*p).\nAnswer: 4*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 260*n - 11726. What is i(45)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 46*g - 205. Suppose -82*f - 9 = -92*f + 401. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 20. Let n(i) = -i - 4. Let m(o) = -11*n(o) - 2*x(o). Let r be m(10). Let q(h) = h + 1. Determine q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 4*t = -83, 2*u - t - 32 = 0. Let m = u - -3. Calculate the greatest common factor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.278 - 9288.722. Let g = a + 9290.16044. Let i = g - 0.16. What is i rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*w + 4*d - 5*d, 4*w - 2*d = 8. Solve -w*c = -4, -3*a + 0*c = 2*c - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*z = -103*z + 1565. Let t = 379 + z. What is the remainder when t is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492390 is divided by 1797?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 24. Let b(u) = 5 - l + u + 0. Let t be b(-2). Let m(s) = -4*s**2 - s. Determine m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 4. Let s be w(-4). Suppose 5*x + 1 - 26 = s. What is the second derivative of 3*k + 4*k**x + 0*k - 5*k**5 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1814674655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*h - 24 = -0*h, 0 = 5*u - 5*h - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1025 or 3887.06?\nAnswer: 1025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 4:40 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 15 = -3*q. Solve -3*k + 2*x = -7, q*k - 5*x = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k + 29*k + 2712 - 154*k + 30*k + 33*k + 29*k.\nAnswer: -2*k + 2712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 j when three letters picked without replacement from gmgggmqmqmjgdgqggmd.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:10 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (69\/6)\/((-2)\/(-20)). Let r = a - 43. What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let y be 6\/(-5)*(-8)\/(-6). Let q = 2 + y. What is the nearest to -2 in q, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 2*b + 107. Is 42 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -893? (a) -1\/2 (b) -7607 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/12)\/(12\/8). Let n = -5\/676 + 24464\/169. Let l = 144 - n. Which is the smallest value? (a) g (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -20778?\nAnswer: -8\/10389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*d**4*p**2 + 1101242*d**4*p - 7*d**2*p - 60*p**2 - 168*p wrt d?\nAnswer: 312*d*p**2 + 26429808*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-4) + -3)*-1. Suppose 2*f = 3*k + 1, 6*k - 2 = f + 2*k. Let g = f + 2. Put g, 3, w in ascending order.\nAnswer: w, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 304*f = 307*f - 8999979, 1800021 = d - 3*f. What is d rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 6}. Give prob of picking 3 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 0.2 in decreasing order.\nAnswer: 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525860, 1051723, 1577586?\nAnswer: 2103449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01278633 to four dps.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100354 + -4135?\nAnswer: 52215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 36. Let q be x(6). Let l(u) be the third derivative of 0 - 3*u**2 + 1\/24*u**4 + 5\/6*u**3 + q*u. Determine l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-6) + 272\/(-312). Let a = 281\/208 + x. Calculate the common denominator of a and 39\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**2 + 0*a**3 + 107 + 11\/24*a**4 + 0*a. Let s(v) = 5*v - 3. Let o(l) = -l + 1. Let g(f) = 3*o(f) + s(f). What is n(g(c))?\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 3, o: 1, a: 10, x: 2}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 419 = 3*n, 3*x + 2*n = 4*x + 210. Let r = x + 222. Solve -3*o + 17 - r = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 10 + 4)*(v + v - 6*v + (0 + 1 + 1)*(0 + v + 0) + v - 3*v + 4*v + 2*v - 5*v + v)*(v - 2*v + 3*v).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16025, -16000, -15961, -15902, -15817, -15700, -15545, -15346?\n\"Answer: l**3 + l**2 + 15*l - 16042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*x - x - 1 = 0, -4*l - 2*x + 66 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -140*o. Let t(z) = 17*z**2. Calculate t(n(v)).\nAnswer: 333200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960646.\nAnswer: 2, 577, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c)**(2\/11) assuming c is positive.\nAnswer: c**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82074?\nAnswer: 2, 3, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 243, 69, -367, -1197, -2553, -4567, -7371, -11097?\n\"Answer: -22*c**3 + c**2 - 23*c + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d - 19. Let m be p(2). Put 4, 9, 2, m in descending order.\nAnswer: 9, 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73021*c - 70207*c + 264516 for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18260*f - 7235*f + 2215*f.\nAnswer: -23280*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 4*z**2 - 3*z + 1. Suppose -5*s - 35 = -5*v, 7 = -0*s - 5*s - 2*v. Let p be w(s). Let d = 2.3 + 0.7. Sort -2, p, d in ascending order.\nAnswer: -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2327823, -22 in descending order.\nAnswer: 2327823, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddil when four letters picked without replacement from {d: 2, v: 2, l: 1, t: 3, i: 9, h: 1}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 4.13, -18, -103?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 617984 at least as big as -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*x + 14*x**3 - 18*x**3 - 55*x - 69*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 2449623.\nAnswer: -13\/2449623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from ekwewrw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.07 - -3.93. Let g = 0.04 - 0.046. What is the nearest to -0.1 in v, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -124933 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*u**2 - 32 - 17*u - 20*u**3 + 91*u**2 - 23*u - 46*u**2.\nAnswer: -4*(u - 4)*(u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f - 78. Give a(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 5, o: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 43*c - 25. Suppose d - 17 = -g, 3*g = 3*d - 237 + 246. Give s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l - 7. Let b(c) = 1. Let r(s) = -5*b(s) - p(s). List the prime factors of r(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(55)\/sqrt(11)*-1.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 19*y**2 - 24*y - 23. Let c be a(17). Suppose c = n - 184. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81862 is divided by 40928.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8366 - 0.6366. What is the third smallest value in -111, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 135*y - 526. Calculate f(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 104597740 divided by -65\nAnswer: -1609196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5. Let o = -6 - s. Let l be (o\/(-4))\/(34\/16). Is -1 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97208.56l to millilitres.\nAnswer: 97208560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:02 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/378)\/((-1)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4 - 152*m**3 + 1492*m**2 - 4944*m + 3600 = 0. What is m?\nAnswer: 1, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -1429, -3240, -5795, -9106, -13185?\nAnswer: -18044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020.6202 rounded to the nearest ten?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98398330 divided by -5.\nAnswer: 19679666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*f - 8, f - 4*f + 6 = 5*c. Suppose -2*t = f*t - 3*i - 101, -2*t + 55 = -3*i. Calculate the highest common factor of 161 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 4*f - 4. Let h(j) = -j**2 - 5*j + 5. Let b(l) = 5*d(l) + 4*h(l). Let r(t) = 3*t**2. Give b(r(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 3*m - 9. Let y(z) be the second derivative of -z**4\/4 - 2*z**3\/3 + 9*z**2\/2 + 110*z. Calculate -4*x(d) - 3*y(d).\nAnswer: d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -524748 (base 9) to base 7\nAnswer: -2436212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -446*t + 3104. Determine s(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -525 - -523. Let a be (132\/(-154))\/(44\/28 + v). Factor 2\/3*h**a + 0*h - 2\/3.\nAnswer: 2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -4, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-652 + 1287 - 4*t**3 - 662 - 2 + t**3 + 2 + (-t**2 + 0*t**2 + 2*t**2)*(-4*t + 2*t + 4*t) - 2*t + 2*t + 4*t**3)*(0 - 2 + 4).\nAnswer: 6*t**3 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13226 divided by 6613?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147) - 4*2*sqrt(3))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 144 = 5*f. Let q be f\/(-18) - (-8)\/6. Suppose n + 102 = q*n. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/145840 and 57\/20.\nAnswer: 145840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -0.02. Let l = -0.3 + 1.3. Let t(d) = 2*d**3 - d**2. Let f be t(-1). Put l, q, f in decreasing order.\nAnswer: l, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 91 = -9*p. Let v be p + 4*190\/(-120). Sort -3.2, -4\/5, v in increasing order.\nAnswer: -3.2, -4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = w - 1927, -6*f + 2*f = 4*w - 7788. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**3\/4 - 1524259*h**2\/2 + 4267933*h\/4 - 609705\/2 = 0.\nAnswer: -609705, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 43\/4, -5, 4, 2.12?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:55 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = 3*b - 0*p, 0 = b + 3*p - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76, 93, 124, 175, 252?\n\"Answer: n**3 + n**2 + 7*n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 85*j - 507. Let y(b) = -b**2 - 28*b - 169. Let p(l) = 2*o(l) - 7*y(l). Factor p(n).\nAnswer: (n + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 40*f + 32 = 0. Let u = 44 + f. Solve 2*z + z - u = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3131 + -3121. Let c = 17 + -14. Suppose -r - c*r = -120. Calculate the greatest common divisor of r and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 201 = -3*p, w - 10 - 45 = -2*p. Let g = -55 + w. Suppose -4 = -2*o - 5*t + 52, -4*t = g. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 13, -9, -57, -137, -255, -417?\n\"Answer: -r**3 - 4*r**2 + 17*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172775 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 the units digit of 9289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 4:53 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -86. Suppose 3*u - z = 2*j, 0 = -5*u + 2*j - 0*j + 69. Let n = 31 + u. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 7719443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -689, -724, -783, -872, -997, -1164?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*k + 39. Let v be (2\/6)\/((-2)\/k). Suppose -2*w - 4*a + 50 = 3*w, -v*w + 5*a - 1 = 0. What is the lowest common multiple of w and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 > -85773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/11))**49*s**32*s**(8\/7)*s assuming s is positive.\nAnswer: s**(7431\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(10)\/sqrt(2))**2*-1 + sqrt(50)\/(sqrt(490)*-2) + -1.\nAnswer: -sqrt(5)\/14 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5774 + -1406. Suppose 3*t - 2189 = -4*f + h, 2*t + 3*f = 4370. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1210*4\/8. What are the prime factors of (-16)\/40 - w\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 - 84 = -3*p, -5*i - 100 = -5*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d + 73. Let b(l) = 13*l + 148. What is -4*b(f) + 9*y(f)?\nAnswer: 2*f + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 705496?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-4))\/(c**(-2\/19)\/c*c)*c**(-1)*c**(2\/5) assuming c is positive.\nAnswer: c**(-237\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2 + 3*b + 2 - 1 - 2. Let r be p(1). Suppose -r*l + i + i = -50, -13 = -2*l + 5*i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 3*y - 3*y)*(2 - 3 + 4)*(4*y**2 - y**2 - 2*y**2) to i + d*y + t*y**3 + j*y**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -288*w**2 + 3*w - 15. Let b = -425 - -430. Let f be u(b). Round f to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 323040 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3100, 3091, 3090, 3109, 3160, 3255, 3406?\nAnswer: 3625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 6429368.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*r + 51 = 178*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197450 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/63*(-42)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3124 + -3118. Let d = 17 + -28. Calculate the remainder when p is divided by d\/(-3) - (-4)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - n**3 + (11 + 6*n**3 - 11)*(-2 - 2 + 5) + 2*n**3 + n**3 - 2*n**3 + (-2*n**2 + 6 + 5*n**2 - 5)*(-2 - n + 2) + 0*n**3 + n**3 + n**3.\nAnswer: 5*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 148117 (base 9) in base 16?\nAnswer: 16456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 12*u - 27. Let q be l(-12). Let b be 2 + -1 - (q + 8). Let r(x) = b*x - 6*x - 8*x. Let j(f) = -5*f. What is j(r(k))?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -22, -14, 10, 56?\n\"Answer: u**3 - u**2 - 6*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*l - 3*l + 84, -16 = -l + c. Calculate the lowest common multiple of 10 and 2\/(-4) + l\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4117?\nAnswer: 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2828 - -7483. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/15)\/(10\/(-50)). Let g be 6*(z + 55\/(-10)). Let y be 6\/g + 60\/27. Let b(w) = -w**3 + 3*w**2 + 3*w - 1. What is b(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 - (-94 + 98).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/133346 and -7\/10930.\nAnswer: 666730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070135815 - 0?\nAnswer: 4070135815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 697343, 697273, 697203, 697133?\n\"Answer: -70*p + 697413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-20 + 4 + -6) - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174512281, 349024560, 523536839, 698049118, 872561397?\nAnswer: 1047073676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*-1759574\nAnswer: -17595740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 10*a + 21. Let r be z(9). Suppose -14*i + 6 = -r*i. Solve 0 = -k + i - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 - 94012*u\/11 - 3198720\/11.\nAnswer: 2*(u - 47040)*(u + 34)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/8 + 6 + (9 - (-63)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1282*h**2 - 3*h - 49567 wrt h.\nAnswer: 2564*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 101620*s**2 + 203252*s - 101628 = 0. What is s?\nAnswer: -25407, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/15 - t**4\/12 - t**3\/3 - 5*t**2. Let r be k(-4). List the prime factors of 6\/9 + r\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxxcccxbbc. What is prob of sequence ccxb?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 400*j**3 - 195*j**2 + j + 17003846 wrt j.\nAnswer: 1200*j**2 - 390*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*b + 2*b. Solve -z - b*z + 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1286 - -3780. List the prime factors of m.\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40313313 - 1?\nAnswer: 40313312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 4*u**2 + 0 + 10*u - 7\/6*u**3. List the prime factors of r(-16).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u - 27. Let o be q(9). Let y = -103 + o. Suppose 0 = -5*d - y, 3*n - n - 5*d - 349 = 0. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 11:56 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5 - 44*b**4 + 660*b**3 - 1172*b**2 + 560*b = 0.\nAnswer: -20, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 207276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + -15 - -34) + 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35216, 35231, 35274, 35357, 35492, 35691?\nAnswer: 35966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 - 60*u**3 + 80*u**2 + 240*u - 400 = 0. Calculate u.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from dddggggsg.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -209, -207, -201, -191?\n\"Answer: 2*c**2 - 4*c - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3872 = 6*c - 13166. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1069562? (a) 1\/3 (b) 4\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 3) + -1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-756)\/(-60) + (-42)\/70. Solve r*d - 12 = 9*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 5*p - 26. Is g(12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21341561.\nAnswer: 3733, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -33. Let z = f + -3. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v*v**(-40)\/v)\/v*v))\/v*v\/(v*v\/v**16))\/(v\/(v**(-44)\/v*v*v)*v*v**32) assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -23. Let s = -3 - t. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let l be 1*3 + 45\/15. Let f(n) = -28 + 7*n + l*n + 28. What is c(f(s))?\nAnswer: -338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -44*h - 7*h**3 - 78*h**2 - 521*h**4 + 80 + 519*h**4 + 51*h**3 = 0?\nAnswer: -1, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 194, 352, 500, 632, 742, 824, 872, 880?\n\"Answer: -w**3 + w**2 + 162*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 + 157 = 84*w - 622 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15110.\nAnswer: 2, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -40.033. Let z = r - 0.167. Sort -3, 0.1, z, 0.5 in increasing order.\nAnswer: -3, z, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*d + 1232 = -41*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -188, -290, -412, -560, -740, -958?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 113949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 3\/4 (c) 2\/21 (d) 11\/4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -2\/15 (c) -0.8 (d) 2\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 4, -l + 79 = 2*r. Let n(j) = -2 - 6 - 13 + j. Let s be n(24). Solve -4*y + r = 4*f, s*f = 2*f + y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 22. Suppose -119*g - 4 = -117*g. Sort g, o, 0, 1.\nAnswer: g, 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.076, -26, 5, -1.9, 4 in decreasing order.\nAnswer: 5, 4, -0.076, -1.9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -b + 3*b, -2 = -3*b + 5*z. Let p(k) = -k. Let u(g) = -258 - 4*g + 258. Let q(i) = b*u(i) - 3*p(i). Let n(t) = -t. Calculate n(q(r)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**6\/180 + 9*j**3\/2 - j**2 + 25. Let w(u) be the first derivative of k(u). Let d(v) = v**2. Give d(w(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 26430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3\/2*i**3 - 36*i**2 - 525 - 495\/2*i = 0.\nAnswer: -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2\/5 - 1\/5*y**3 - y + 4\/5*y**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.096, 0.184, -3?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 - d**2)*(3 - 5*d - 3).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -33, -2, -0.2, 2\/11, -2.5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29545503*n**3 + 0*n**2 - 29545600*n**3 + 0*n**2.\nAnswer: -97*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*y - 6 = t, -5*t - 5*y - 30 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5466*n - 5527*n + 976 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418*u**4 - 43*u**2 - u wrt u.\nAnswer: 10032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1095 - 1095.00006197. What is i rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*p + 297, -p - r = -2*r - 76. What is the highest common factor of 30 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c2a (base 13) in base 8?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61388541 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(4\/7)*x\/(x*x\/(x\/x**(-1\/4)))*x**8\/x*x*(x*x**2\/x)\/(x\/x**(1\/4)*x*x)*x**0\/x**(-7) assuming x is positive.\nAnswer: x**(207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 2)\/((-4)\/(-10)). Suppose -f*l = -0*l - 75. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 7*i + 81. Calculate m(-16).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 32. Let w be -16 - (1 - 5\/5). Let c be s(w). Solve -3*q + 0 = 2*p + 13, c = -2*p - q - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -715.8558 to 1 decimal place.\nAnswer: -715.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 + 3*l**5 - 4*l**2 + 5 - 5 + 4*l**5 + (-l**4 + 3*l**4 - 4*l**4)*(-5*l + l - 6*l) + l**4 - 2*l**5 - l**4 + 4*l**5 - 3*l**5 - 3*l**5.\nAnswer: 23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-2704)*(-299)\/115?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24961.02 hours to milliseconds.\nAnswer: 89859672000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15820 and 18480.\nAnswer: 2088240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.6. Let k = s + -2.6. Which is the nearest to -1? (a) k (b) -4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-162)\/(-63))\/(6\/28). Differentiate a + 4*z**3 + 2*z**3 - 18 wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 83\/8 (b) 1 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**3 - 3*t**2 + t + 11. Let y(k) = 3*k**3 + 2*k**2 - k - 6. Let b(d) = 4*s(d) + 7*y(d). Let w be b(-3). Let q(g) = 5*g + 1. Determine q(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 652459 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away -1610097?\nAnswer: 1610097.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -1 (c) -1\/3 (d) 1 (e) -1\/6 (f) 314931\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 108.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let y(g) = -3*g**3 - g + 1. Let k be y(t). Let o = -73\/16 + 17\/16. Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61370 divided by -6?\nAnswer: -30685\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.116824 to 3 decimal places.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2313 = 21. Suppose v = 3*r - 2*r. Suppose 5*c - r = 336. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 184, 356, 526, 694?\n\"Answer: -w**2 + 175*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 364601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2015139 micrograms?\nAnswer: 0.0002015139","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*t**2*y**2 - 4*t**2*y - 4*t**2 - 2*y**3 + 7*y**2 + 159*y wrt y.\nAnswer: 402*t**2 - 12*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 12*d + 4*u = -648812, d = -3*u + 162207. Suppose -17*n + d = 11*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c. Let u(b) = -1079*b + 4. Give q(u(z)).\nAnswer: 10790*z - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*f*g*v + 3*f*g - 1025*f*v wrt g.\nAnswer: -122*f*v + 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 47*r - 13. Let p be b(9). Let a(k) = -p - 19378*k + 5 + 19374*k + 51*k**2. Let y(u) = 2*u. What is a(y(i))?\nAnswer: 204*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2*n**3\/3 - 2. Let k be (-2)\/5 - (-102)\/30. Let z(y) = 3*y. Let w(a) = 3*a. Let s(c) = k*w(c) - 4*z(c). What is v(s(u))?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11230.\nAnswer: 2, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -158288, -158288, -158284, -158276?\n\"Answer: 2*k**2 - 6*k - 158284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 894*y**2 + 6*y + 6. List the prime factors of n(2).\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -16?\nAnswer: -117\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 312723704 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 52?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - 5*j**4\/8 + 49*j**3\/6 - 2*j**2 + 646*j + 1. Calculate o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*18\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-12 - (60 + 3)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4) + (4 - 1). Suppose -2*o + 2822 = 3*d, l = 4*d + 3*o - 618 - 3145. What is d rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(5\/(125\/(-15))) and -169\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*p = -2, 0*p + 2 = 2*a + 4*p. Let b be (-92)\/(-171) - (-2)\/(-9). Is a greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -367, -771, -1179, -1591, -2007, -2427?\n\"Answer: -2*f**2 - 398*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 23215348.\nAnswer: 69646044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/27 - ((-100)\/(-6) - 0). Let o = m - -20. Solve -6\/7*p - 2\/7*p**o - 18\/7 + 10\/7*p**2 = 0 for p.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -37. Let n(s) = 9*s**2 + 7. Let d(g) = 4*g**2 + 3. Calculate p*d(j) + 6*n(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1372 = 6*p - 10544. Let o = p - 431. Suppose 0 = -b + 778 + o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/14)\/(-11))\/(3\/36)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3091, 7611, 12127, 16639?\nAnswer: 21147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*d - 3*k, -3*d + 5*k - 9 = 0. Let q(s) be the first derivative of -2*s + 2*s - 27 - 5*s**3 - d. Let z(a) = -2*a**2. Calculate q(z(i)).\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44462, -88873, -133284, -177695, -222106?\n\"Answer: -44411*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 85687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-5)\/(-80)*-78. Is -1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -85*s**2 - 3*s. Let k(o) = 172*o**2 + 5*o. Let t(n) = 3*k(n) + 5*u(n). Let c = -1 + 0. Is t(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 14*h. Solve 0 = -5*x + 4*m - 4, h = 2*m - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + 29115\/30. Let t = b + -562. List the prime factors of t.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3 and -79\/7774?\nAnswer: 23322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 425*i**2 - 1094*i + 1094*i + (0 - 3 + 5)*(-1 + 2*i**2 + 1) - i**2 + 4*i**2 - 2*i**2 - 2*i + 2*i - 2*i**2.\nAnswer: 428*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 - -5 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151100 is divided by 736.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -18 (b) -2\/993 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 8?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/9 + 38*o\/3 + 116\/9 = 0. What is o?\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 86.00049. What is r rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 119 = 7*o + 5*u, 91 = 3*o + 4*u. Solve 8*g = -5*h + 3*g + 45, 4*h - o = -g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 7*i**4\/24 - i**3\/2 + 131*i**2. Let v(u) = u. Calculate -p(r) + 5*v(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167633, 167629, 167635, 167657, 167701, 167773?\nAnswer: 167879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 2.024.\nAnswer: 2.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 + -85. Let v = 47 + c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/3 + 10 - 2\/3. Solve -7*f + 10*f - 6 = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 + 2*k - 2. Let z = 2 + -3. Let o(t) = -4*t. Let l be o(z). What is q(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 + 3*j + 3. Let m(u) = 2*u**3 + 2*u**2 + 3*u + 2. Let n(y) = 3*m(y) - 2*q(y). What is the second derivative of n(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7438 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hanr when four letters picked without replacement from {r: 2, m: 1, a: 3, h: 4, n: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -n. Suppose -n*i = 2*v, v - i + 0*i = 0. Let o = -10 - -25. Solve v = 3*x - 0*x - o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 137772727*z + 74216. Let b(j) = 9282*j + 5. Determine 74216*b(r) - 5*k(r).\nAnswer: 9277*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.4 * 100.\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 42. What is the second derivative of 14*b - 19*b + 7*b + k*b**5 wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -529*j + 526*j - w, 16 = -4*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -10.4. Let j = -1489\/10 - -149. Sort p, j, -6 in descending order.\nAnswer: p, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*u**4 - 10*u**4 + 113*u**3 - 23*u - 8*u**4 + 2*u**2 - 59*u**3 - 16 - 58*u wrt u.\nAnswer: 36*u**2 + 324*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19)*-3 + sqrt(114)\/(sqrt(30)\/sqrt(5)).\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73488, -145502, -217516, -289530, -361544?\n\"Answer: -72014*q - 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51572*2 - (12 - (-180)\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*r**3 - 4500*r**2 - 91635*r + 16810.\nAnswer: -5*(r + 41)**2*(11*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6 - 5 + 2 - m - 4. Let p = -11 + 12. Let a(h) = -h**2 + 4*h + 4. Determine p*a(g) + 4*b(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269295541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 + 1. Let r(l) = l**2 + 3*l - 4. Let d be r(-4). Give a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91 - (4 + -18 + -14 + 38) - 9) + 9.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 525 + 610 = 1055 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 + 7*g + 20. Let s(h) = -6*h**2 + 6*h + 19. Let z(u) = -5*j(u) + 6*s(u). What is z(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (752\/(4\/(-1)))\/((-4)\/(-140)*-5) and 40?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -16.3. Let w = -0.7 + -0.3. Let n = f + w. Is -2\/5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -25*h - 898. Calculate the remainder when b(-42) is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253 (base 7) to base 14\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27357 and -1056.\nAnswer: -28888992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -47\/16, 0.1 in descending order.\nAnswer: 0.1, -0.1, -47\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332.3 + 332. Let a = -0.01 + 0.31. Let c = 0.6 - a. What is the smallest value in 0.1, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.176 times 0.1115\nAnswer: 0.242624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - 0.5. Let p = 2 + d. Let v be -5*((-40)\/(-44) + (-26)\/(-286)). Sort p, v, 5, -4 in increasing order.\nAnswer: v, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 137883?\nAnswer: 3998607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*x**2 - 558*x**3 - 805*x**2 + 559*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 23*n + 134. Let m(c) = 4*c**2 + 40*c - 134. Determine -3*d(s) - 2*m(s).\nAnswer: -2*s**2 - 11*s - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -131, -133, -135, -137?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/4 + 5066993*n**3\/2 - 25674407928061*n**2\/4 - 12837211564521*n - 6418607049009 = 0. What is n?\nAnswer: -1, 5066994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 199.6. Let g = t + 61.6826. Round g to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11505 (base 8) to base 13.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2. Let u be h(1). Find the common denominator of -101\/10 and (-294)\/(-30) + u\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -18*q + 17*q + 53565, 5*q - 214262 = -4*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000161692 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*o = -o - 9, -3*o = 5*w + 6. Let p be (-2)\/((8\/3)\/(-4)). Sort w, p, 1, 2 in decreasing order.\nAnswer: p, 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 188860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r + 52 = -314 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x + 48. Calculate g(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - j + 146 = 0, -45 = -2*r - 5*j + 37. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/300 + f**5\/5 + 343*f**4\/60 + 104*f**3\/5 + 7*f**2 - 179. Determine z, given that v(z) = 0.\nAnswer: -8, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:26 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/25*(-1540)\/88)\/(-2)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214597\/16 - 40244\/3. Find the common denominator of v and 65\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 * 23.\nAnswer: 0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(3*v**2 - 2*v**2 - 5*v**2)*(2*v - 2*v - v**3 + (-4*v**2 + v**2 + 2*v**2)*(3*v + v + v)).\nAnswer: -48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-4.11.\nAnswer: 57.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 6:45 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77669, -157284, -236899, -316514?\n\"Answer: -79615*m + 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 + 1. Let u be c(5). Let w = u + 26. Solve -w*o = 2*y + 3*y + 28, -2*o = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -23*a**2 + 2*a - 1. Determine l(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3 - 18*h + 2*h**2 - 8*h + 1 + 24*h. Is l(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(68\/1224). Let a(s) = -26*s + 266. Let t be a(h). Put 5\/3, -1\/5, -2, t in increasing order.\nAnswer: -2, -1\/5, 5\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.4, 0, -7, -0.2 in descending order.\nAnswer: 1\/8, 0, -0.2, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*i - 8*i. Let j(t) = t**2 - 3*t**2 - 2*t**2 - t - 1. Let o(w) = -17*w**2 - 5*w - 4. What is i*j(q) - 2*o(q)?\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbbbbbb. What is prob of picking 3 b?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-5))\/((25\/(-75))\/(90\/108)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 1 + 3294*o - 7*o**2 - 3289*o + 12 + 0*o**3. Calculate z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3. Let y be n(-1). Suppose -y*i - 404 = -4*u, 0*u + 505 = 5*u - 4*i. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -3*v + q, 2*v + 2*v = -2*q + 166. Let p = v - 197\/5. What is the third smallest value in -0.06, p, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 6*c**2 - 7*c + 2. Let f be d(7). Suppose f*o = o - 4, -3*o = -m + 14. Suppose 2*x + 2*x + 2*s = 66, m*x = s + 31. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 558972*d**3 + 232293.\nAnswer: 1676916*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/192 and -41\/250552384?\nAnswer: 751657152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*n**2 + 47791*n - 42773759 wrt n.\nAnswer: -42*n + 47791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28751 + 53219. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-50)*(-20)\/(-3)*3\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 4*i**2 + 3*i**2)*(0 - 2*i + 0)*(-2*i - 3*i + 4*i) + (2*i**3 - 4*i**3 + i**3)*(-7*i - 2*i + i).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 18, 43, 90, 165, 274, 423, 618?\n\"Answer: m**3 + 2*m**2 - 4*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*p + 20*c + 9*c - 33*c, -2*c - 74 = 76*p - 4*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/2 - (-13733536)\/(-859280)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20222 - 2002110202110?\nAnswer: -2002111000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(84)*3*-1)\/(((sqrt(96) - (sqrt(96)*2 + sqrt(96)))*-1)\/(sqrt(200)*-1)).\nAnswer: -225*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38940 is divided by 220.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-8)\/(-5)) + 2. Let g = 13 - 18. Put 5, g, a in decreasing order.\nAnswer: 5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 999260 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207409808 is divided by 5833?\nAnswer: 5827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n - 6. Let r(v) = 4*v**3 + v**2 - v. Let x be r(1). Is l(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/147)\/(123\/287)*7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 3\/2*x**2 + 238 - 4*x. Determine a(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - l + 5*l + 4*l - 2*w - 8 + 26, -12 = -4*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/17)\/(w*w**13) assuming w is positive.\nAnswer: w**(-239\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-35) + -8*(-629)\/(-7140).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 8) + (-3 - -1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*b + 2571 - 1213 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000397482 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 447. Let z(o) = 0*o + 1 + 6*o - 5*o. Let l(f) = -n(f) + 2*z(f). Is l(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 85, 3, -1 in decreasing order.\nAnswer: 85, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*q**3 - 10*q - 4*q**4 + 60759 - 30383 - 30378 + q**2 in the form z*q + u*q**4 + f*q**2 + b*q**3 + o and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 0 = 2*p - 2*y, 2*y - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2704651 and -19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 77*g**2 - 5*g + 1. Calculate the remainder when c(1) is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 18*t + 12. Let k be 504\/14*2\/t. Is 12 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3809 by -6.\nAnswer: 3809\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/5))**36*h**(-28)\/(h*h**(-1\/3)\/h))**(9\/4) assuming h is positive.\nAnswer: h**(-921\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12)*((-56)\/7)\/8. Let k(w) be the first derivative of 0*w - o*w**2 + 1\/12*w**4 + 1\/9*w**3 + 9. Let k(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -110*h. Let b(m) = 2*m**2 - 162*m. Calculate g(b(n)).\nAnswer: -220*n**2 + 17820*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:23 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4229, -8453, -12675, -16895, -21113?\n\"Answer: i**2 - 4227*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*d - 83 + 724 = -1234 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/80 - (1\/(-5))\/1. Suppose 10*t - 12*t - 562 = m. Let f = -151 - t. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(16)\/sqrt(2)))\/((sqrt(84)\/sqrt(2))\/sqrt(7)) + -1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.18533 and 0.14.\nAnswer: 0.5859462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8806413?\nAnswer: 3, 7, 11, 67, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 105 in 10, -2\/5, 2\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 101682239 and 0.\nAnswer: 101682239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(12\/5)\/(x\/x**(-3)*x**(-3\/2)) assuming x is positive.\nAnswer: x**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2706 + 2024 = -167*j + 1203 - 3487 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -134*q**3 + 21*q**2 + 7*q - 7. Let n(p) = -p**3 + 3*p**2 + p - 1. Determine 3*g(y) - 21*n(y).\nAnswer: -381*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*j + 69*j + 69*j + 30 - 100 = 2*r, 5*r = 4*j - 173 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2357 - 2370. Let w = 75\/427 - 2\/61. Put w, -4, l in descending order.\nAnswer: w, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-193140)\/60)\/(-29))\/(6\/2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/563 not equal to -1867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-16)\/(144\/(-27))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*y, k - 5*y - 15 = -0*k. Calculate the least common multiple of 1 and (k + 2 - -3) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40248)\/(-5031)*1\/((-4)\/6)*78\/(-54).\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 2\/7 in decreasing order.\nAnswer: 5, 1, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -36\/5 (b) 13\/3 (c) 3 (d) -5\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 11:52 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 - 672707952?\nAnswer: -672707684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let y(x) = 2*x + x + 5*x. Calculate y(z(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10179348*r + 16254583 wrt r.\nAnswer: 10179348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-35))\/(2\/7). Let t(j) = -j**2 + 7*j - 5. Let f be t(6). Let n be (w - 2)\/((-1)\/f). Is n at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1765 or 4?\nAnswer: 1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1905 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23203 - 12?\nAnswer: -23221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2557754 or -2557875?\nAnswer: -2557875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 d, and 2 k when four letters picked without replacement from {d: 4, a: 2, t: 2, k: 4}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 193374817 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-20 - -7 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6473 - 7318. Are o and -844 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + 31 + 23*n + 39 - 10*n - 70.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 108876*w + 1481747922.\nAnswer: 2*(w + 27219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:21 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by 483.\nAnswer: -58\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -641.\nAnswer: 10.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 37.5. What is the second smallest value in i, 4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 2 j when four letters picked without replacement from {l: 5, h: 1, t: 6, j: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q + 6 - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537086979?\nAnswer: 7, 83, 1559, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33812*b = -33939*b + 67511*b - 20400 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20)*(0 + 50\/(-80)). Let f(u) = u**2 + u + 1. Suppose -k - 10 = -4*k + 5*a, 3*a + 6 = -3*k. Let l be f(k). Is h >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - h + 14 = 0, -c + 0*h = 2*h. Let t = 4 - c. Suppose 5*n + 2 - 7 = t. Is 3\/5 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 91*q. Let g = -186 + 277. Let i(w) = -2093*w. Let v(h) = g*l(h) + 4*i(h). Let y(t) = t**2. Determine v(y(z)).\nAnswer: -91*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -710*m**2 + 486*m + 493. What is x(-1)?\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5 - 1 = 0. Let b be (-3 - 42)*(-24)\/5. Let l = -1723\/8 + b. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84)\/(sqrt(1728) - (sqrt(1728) + sqrt(1728)*-2) - sqrt(1728)) + 0))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 742733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose v*p + 3*u - 9 = 0, 0 = -5*u - 2 + 7. Let w be 0*(0 - 1\/2). Solve w = -p*y + 8 + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 + 11*m\/7 + 6\/7.\nAnswer: (m + 3)*(3*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m + 121 = 27*m + 37*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 21*x**2 + 19*x + 1. Let g be s(-20). Solve -4*m = g - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*y + 14, -2*j + 6 = -3*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 7. Let s = -67 + 70. Suppose 0 = -5*w + 43 - s. What is the remainder when d(5) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 98546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.057 (b) -4 (c) -529 (d) 0 (e) -0.2 (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 11140032?\nAnswer: 11140007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:48 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4 - 0. Let d = -2 + o. Let y(f) = f**2 - 15*f + 19. Let i be y(14). Which is the closest to 2\/7? (a) -4 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 594450.36us?\nAnswer: 0.0000009828875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 12*k - 46. Suppose -k*s - 80 = -9*s. What is the remainder when 40 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 4, v: 2}. What is prob of sequence vvnn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-816)\/119 + (-2 - (-26)\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {e: 1, y: 1, w: 1, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1\/2, 5, 0.737, 3\/2, -5 in decreasing order.\nAnswer: 5, 3\/2, 0.737, -2\/13, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/4*v**5 - 6*v + 5\/4*v**4 + 0*v**2 - 2 + 5\/3*v**3. Determine y, given that d(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.699 and -0.156?\nAnswer: 2.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0697 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 5*z**2 - 6*z**2 + 23*z**3 + 29*z**3 + z**4 - 65*z**3 - 1 to v + a*z**2 + p*z + q*z**4 + u*z**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63379, 253495, 570363, 1013989, 1584379?\n\"Answer: z**3 + 63370*z**2 - z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 64\/7 + 148\/7*a**3 - 576\/7*a**2 + 528\/7*a = 0.\nAnswer: -4\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(((o**(2\/7)*o)\/o)\/o)\/o)**(7\/9)\/(o**(2\/5)\/o**(4\/5)) assuming o is positive.\nAnswer: o**(28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 23*n**2 - 33*n - 263. Give d(-22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16452444049\/18639945 - -10\/1242663. Let x = 883 + m. Let a = x + 2\/45. Is a at most -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**2. Let c(d) = d**2 + 6*d + 6. Let h be (0 - -3) + 15 + -11. Let o(j) = -6*j + h*j - 2*j + 0*j - 1. Let p(m) = -c(m) - 6*o(m). What is p(y(g))?\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 17 = -4*q + 7*q, 4 = -w. Solve -q*f + 370 = 405 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8190\/273*((-10)\/(-10))\/(9\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0029 - 3.0029. Do 44 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ppmgplggpgpqppqxpml.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2 - 4*t**2 - 4*t**2 - t + 5*t**2 + 5*t**2. Give l(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 99*c**2\/2 + 19. Let d(w) = 2*w. Give d(b(n)).\nAnswer: 198*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 26*b - 22*b. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -0.12162.\nAnswer: -0.22162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (-1 + -21 - (247 - 283))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**5)**(-2\/5))**6 assuming l is positive.\nAnswer: l**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(320) + -2)**2 + 2).\nAnswer: -160*sqrt(5) + 1630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*h + 161*h + 642*h - 178832 = -65004 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9392121\/2 or -4696060?\nAnswer: -4696060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -34*i**3 + i**2 + i - 8. Let c be z(-3). What is the hundreds digit of 21\/(-14)*c\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.3. Let k = 6 + -1. Suppose -8*d = -4*d + 4*z - 16, -d + 6 = 2*z. Which is the nearest to u? (a) d (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103\/60 + -7\/15. Put p, 0.4, -4 in ascending order.\nAnswer: -4, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.185 * -2404.05.\nAnswer: 444.74925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110111110 (base 2) in base 14?\nAnswer: 48d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31438.5 and -0.6?\nAnswer: 18863.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417573 = 80*o - 407707. What are the prime factors of o?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 50*l**2 - 8885*l - 8930.\nAnswer: 5*(l - 38)*(l + 1)*(l + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - 38*b. Let u(w) = 8*w**2 - 8*w. Let k(j) = j**2 - 2*j. Let d(f) = -4*k(f) + u(f). Give a(d(q)).\nAnswer: 96*q**4 - 152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d**3 + 7*d**2 - 2*d - 9. Let w(o) = -11*o**3 + 9*o**2 - 3*o - 10. Let x(k) = -3*r(k) + 2*w(k). Let y(s) = -s**3 + s**2 - 1. Give x(j) + 6*y(j).\nAnswer: 2*j**3 + 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 34*o - 157. Determine m(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {k: 2, d: 1, r: 2, v: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o. Let r(j) = -j + 21. Let y be r(16). Let h(p) = 2*p + y*p + 5*p - 19*p. Calculate d(h(f)).\nAnswer: -77*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10*a - 16. Let l(d) = -4*d - 2*d - a*d + d. Let h(s) = 2*s. Give l(h(f)).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*j - 1110614476 = -220414476. Round j to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-292900)\/6060*(-1 + 8\/5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -484 + 5330\/11. What is the fourth biggest value in 0.4, l, 0.2, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626725995\/8 equal to 78340750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765174231 to the power of 1\/2, to the nearest integer?\nAnswer: 69030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105271 and 507251.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, 1872, 5198, 8524, 11850?\nAnswer: 15176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 1, c: 2, s: 4, b: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-8)*(-2 + -1) + 17. Suppose 10*z - p*z = 2*y - 512, 3*y - 5*z - 790 = 0. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n - 585397 + 585398 + 3*n. Let l(b) = -3*b + 7. Let g(d) = -d + 2. Let m(x) = 14*g(x) - 4*l(x). Give -3*j(k) + 5*m(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4 (c) -176 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10) + (-84)\/20. Let z(o) = o**3 + 6*o**2 + 7*o + 8. Does 7 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (4 + (sqrt(605)*-1 - sqrt(605)))) + (sqrt(605) - sqrt(605)*1*-5) - (sqrt(605) - (2*sqrt(605) + -3) - -3*sqrt(605)*2))**2.\nAnswer: -616*sqrt(5) + 9729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/2*4\/6. Let b(v) = -d*v**2 - 2*v**2 + 4*v**2. Let f(x) = x**2. Give f(b(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = -465. Let j = 108 + -193. Let x = j - i. Solve -5*w - 7 = 4*y, -3*y + 2*w - 3 = x*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -5*q**9\/504 - q**6\/40 - 131*q**5\/15 - 5*q**2 + 68. What is the third derivative of a(b) wrt b?\nAnswer: -600*b**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 4 - 3*p**2 + 4*p**2 + 4. Let b(f) = -13*f**2 + 5*f. Let u(v) = -b(v) - 6*h(v). Calculate u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14177282 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -156, -352, -626?\n\"Answer: -39*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 2*w**2 - 42 + 5.\nAnswer: 2*w**2 - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 24*x. Let v(q) = 7*q - 14*q + 11*q - 2*q + 14*q. What is -5*a(h) + 8*v(h)?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:01 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 512*w - 2016.\nAnswer: -2*(w - 252)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(18\/24). Let u(c) = 3*c. Let y be u(d). Suppose -3*p + 2*g = -14, -y*g = -g - 25. Calculate the least common multiple of p and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5314 = p + 5298, 4*p - 25 = -3*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31e43 (base 16) in base 4?\nAnswer: -301321003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2. Let x = 0 + 5. Let h = x - 3. Let d(c) = 4*c + h*c - 4*c. What is j(d(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30580 and 132643530?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -17*v**2 - 1909*v + 17. Let y(i) = 4*i**2 + 488*i - 4. Calculate -2*q(m) - 9*y(m).\nAnswer: -2*m**2 - 574*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -6 + 26. Suppose 0 = 4*b - 22 + h. Let a(r) = -3*r - 9. Let s be a(-6). Solve b*o = 1 + s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let t be i(-4). Let y = t - -6. Let p(h) = -h - 1. Let z(w) = 3*w**2 + 2*w + 3. Let k(m) = y*p(m) - z(m). Differentiate k(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2256*d - 7787*d + 1068235 = -167054 for d.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, u: 1, o: 7, t: 4}. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 65186 divided by -42.\nAnswer: -32593\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5576767 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2790432 + -0.08.\nAnswer: -2790432.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6252 = 9*a + 6333 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 5*r + 9. Let s be d(4). Suppose 2*h - 21 + s = 0. Calculate the greatest common divisor of h and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118.9 + 119. Let d = -6.15 + -0.15. Let h = d - -6. Put h, -0.5, r in increasing order.\nAnswer: -0.5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjo when three letters picked without replacement from dsonxjjx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -429, -425, -421, -417, -413?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -292963, -293012, -293061?\n\"Answer: -49*v - 292914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 13) in base 3?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by -10*(-162)\/(-2160) + -1 + 166\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p = 29*p + 30*p - 104*p + 638 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d - 3*d**2 - 5*d + 4*d**2 + 8*d.\nAnswer: d*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopnnnpopnpppp. What is prob of sequence oo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l - 171 - 487*l**5 + 175 + 11*l wrt l.\nAnswer: -9740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**2 + 2160*p + 237965 = 0.\nAnswer: -91, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**5 - 25269*s**4 - 37929*s**3 + 50547*s**2 + 37923*s - 25278 = 0. What is s?\nAnswer: -2, -1, 1\/2, 1, 4213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from zavaaavaavaav?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w*w*w*w*w\/(w\/(w*w**(-2\/13))) assuming w is positive.\nAnswer: w**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -23. Let o be (20\/y)\/(20\/48). Is 1\/(-3) - (o + (-2120)\/15) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -259, -484, -745, -1054?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(20\/5)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1397, 1415, 1433?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -455?\nAnswer: 8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x - 26. Is y(18) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581787116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.235 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = f + 14, -f + 6 = -7*d + 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) -0.1 (d) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*z**3 + 14*z**2 - 2*z**4 + 9*z**2 + 25*z**3 + 54*z**2 wrt z.\nAnswer: -48*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14*((-2)\/(-4))\/(-1). Let c = -1 + f. Solve -15 = -2*u + c*u + r, 3*r + 24 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/9 - 4*d**3\/9 + 2*d**2\/3.\nAnswer: -2*d**2*(d - 1)*(d + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n + 700. Calculate f(-63).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9099 = 16*j - 13*j, -5*j = 10. List the prime factors of o.\nAnswer: 3, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 902, 1872, 3534, 5888, 8934?\nAnswer: 12672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*x - 1603*x**2 + 1601*x**2 + 14*x to q*x**2 + m*x + l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9686641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -118?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + 5?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2545563611 + 3?\nAnswer: 2545563614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.882778 rounded to one dp?\nAnswer: -19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 33352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 6 - 6)*(1 + 1417*h - 1422*h + 3).\nAnswer: 5*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3448*d*v**3 + 26*d*v**2 + 2*d*v + 9*v**3 - 21*v**2 + 2*v wrt v?\nAnswer: 20688*d + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 21 = -13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63058450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2020 and 43\/70.\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/127 (b) -3\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458429386.\nAnswer: 2, 3, 7, 71, 443, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 18 = 3*a - 16, -a + 5*q = 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 4*j + d - 36, 4*j = -2*d + 8. Suppose j*s - 2*u + 7*u - 71 = 0, 3*s = -4*u + 54. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 44*l**2 + 60*l - 114. Calculate j(2).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -59, 3, 2753, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o*o**(-2\/17)*o))*o\/((o**(-11)*o)\/o))**(7\/4) assuming o is positive.\nAnswer: o**(1533\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110952 and 311952?\nAnswer: 21524688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 311033302 (base 4) in base 16?\nAnswer: 353f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnottvovtvovbovvot. Give prob of sequence tvo.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-3)\/(2*sqrt(3)*-4 + sqrt(3) - sqrt(3)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32171421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 7*z + 14. Let t be a(-8). Suppose t = -3*h, -h - 285 = -5*d + 4*h. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**6\/10 - 2*f**4\/3 - 6*f - 3. Let z(y) be the first derivative of v(y). Find the third derivative of z(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*v**2 + v**3 + 330*v + 312*v**2 + v**3 + 311*v**2.\nAnswer: 2*v**3 - 10*v**2 + 330*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50325 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61819.14us to seconds.\nAnswer: 0.06181914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*i + 25, -7*i - 10 = -11*i - 2*a. Solve c = -4*t + 23, -4*c - 3 = -3*t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29016155 and 2170?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 82*f**2 + 34*f - 1. Is 23 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2567 (base 10) to base 6\nAnswer: 15515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1467118 = 286*c - 1452532 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186747543 by -2098287.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/45*-3 - 234\/(-1070). Let j = d - -97\/535. Let n = 161 - 163. Sort -0.2, j, n, -3.\nAnswer: -3, n, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 814*w**2 + w + 6. Let s be v(-2). What is s rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 10*d + 353. List the prime factors of g(17).\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7935 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 10\/8) + (11 - 144\/12)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**2 + 4*k - 10. Let y(g) = 4*g + 0 - 4 - 7*g**2 - 7 + 2. Let a(l) = 6*b(l) - 7*y(l). Suppose 122*z = 150 + 94. Determine a(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b**2 - 6*b + 5. Let c be s(4). Factor c*u**3 - 205*u**3 + 3*u**5 - u**5.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*m + 3 + 3, -5*m = -3*x + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 10, 2 = -12*h - 5*s - 32 + 11 - 47 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 5. Let a be w(1). What is the fourth smallest value in 2\/15, -1, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzozzzmwrswo. What is prob of picking 2 o, 1 r, and 1 w?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -6*g + 11, 14*g + 5 = 18*g - 3*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5443749 + 4*q + 5443749.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)*(-24)\/(-124). Is n at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -7*r**5\/20 + 7*r**3 + 26*r. Let l(d) = -d. What is j(g) + 42*l(g)?\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 109.9339 and 51?\nAnswer: 5606.6289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86187, -86216, -86243, -86268, -86291?\n\"Answer: q**2 - 32*q - 86156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26164*p + 1696 = -26196*p for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*h - 19793 = -1798. What is the remainder when h is divided by 88?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855016 is divided by 170995?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -24.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 26*d - 99. What is the remainder when d is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 + 9*n + 2. Let g be b(8). Let i = g - 13. Let p = 161 + i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Calculate the common denominator of x - (3 - 171\/15) and 22\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*n = -8*n - 137, 0 = 3*n + 3. Suppose b = -10*p - 17. Let r = 3 - p. Solve 0*k = -4*u - k + 5, -4*k = 2*u + r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)\/((y*y\/(y**(-1\/12)*y)*y)\/y))\/((y*y**(-10\/3)*y)\/y*y\/(y\/y**(-1\/5))) assuming y is positive.\nAnswer: y**(-151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 2*u**2 + 25*u**3 + 26*u**3 - 56*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-44)\/(-11)))\/(5\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y = -4*w + 2058, 4*w + 12 = 0. What is the greatest common factor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 471\/18 - (29 + 89)\/708?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -11*q. Put 2, 4, q, 5 in descending order.\nAnswer: 5, 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 99996*y**3 + 3*y**2 - 2*y + 3. Let n(g) = g**3 - 1. Let m(p) = -3*n(p) - r(p). Let x be m(2). What is x rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17378.\nAnswer: 2, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579544, 2318186, 5215920, 9272746, 14488664, 20863674, 28397776?\nAnswer: 37090970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 0.7 (c) -1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*s - 0. Let b be 10\/(-14) + 6\/(-21). Does s = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29211, 29201, 29185, 29163?\n\"Answer: -3*x**2 - x + 29215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -0.5 (c) 0.095 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 9*a - 3*w - 13 = 0, 0 = -a + 2*w + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*s + 20360 = 0, -3*l - s + 202 = -12014. Let j = -877 + l. Let m = 1495 - j. Round m to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 1727, 5716, 13453, 26180, 45139, 71572?\nAnswer: 106721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Product of -10426 and -303.\nAnswer: 3159078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from plp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(2\/69)\/(((z*z**(-2\/7))\/z)\/(z\/z**(-3\/5))))\/(((z\/(z\/(z\/(((z**(1\/4)\/z)\/z)\/z)))*z*z)\/z)\/z**(-1\/3))**(-32) assuming z is positive.\nAnswer: z**(397324\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*(-4)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007035026 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2872 = 926. Suppose 15 = 2*j + 103. Let a = x + j. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/42)\/(((-21)\/((-756)\/(-8)))\/(-2)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - i + 6*i - 1 + 97*i to d*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*j**3 + 2644*j + 51*j**3 + 12639*j.\nAnswer: -j**3 + 15283*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let d be r\/(-12)*(-2 + 4). Let o(q) = -24*q - 3. Let k be o(-1). Which is the third biggest value? (a) -1\/4 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -558, 20, -3, -504 in ascending order.\nAnswer: -558, -504, -3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*x - 186, 128*x = 5*c + 127*x - 158. Solve 29*q + c = 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06037396 rounded to 4 dps?\nAnswer: -0.0604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 3 - ((17 - -8) + -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)\/o)\/o**(-8)*o**(2\/7)*o**(-2\/15)\/o assuming o is positive.\nAnswer: o**(1187\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-eight fifths of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o - 3*l = -219, 288 = 5*o - l. Let j = 49 + o. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 64. Calculate t(-7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110110 (base 2) to base 8.\nAnswer: -766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-49)\/(-2) + (-4)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1098996 and -296.\nAnswer: 325302816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15632 by 1.\nAnswer: 15632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(60) + sqrt(180)\/sqrt(3)) + sqrt(60))\/(sqrt(12) - (sqrt(120)*3)\/sqrt(10)) + 1.\nAnswer: 1 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 - m**2)*(4*m**2 - 7*m**2 + 0*m**2)*(2*m + 3*m - 3*m - 2 + 2*m + 2 + (m + 3*m - 2*m)*(2 - 2 + 2))*(-7 + 13 + 4).\nAnswer: 240*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose -2*a + 24 = -t*o - o, 5*a = 5*o + 45. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158050 is divided by 184?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(1331) + 1 + (sqrt(1331) - (-3 + sqrt(1331)*1)) + sqrt(1331) + (-2 + sqrt(1331) - sqrt(1331))*-6)**2.\nAnswer: 528*sqrt(11) + 5468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002100202 - 11?\nAnswer: 10002100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 129 - 50. Let i = 44 - w. What is the closest to i in -4, 0.1, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -116 - (-7 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3881 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.144 - 2.516. Let y = -0.34 + v. Let h = 6 + -4. Sort y, h, -4 in increasing order.\nAnswer: -4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -27\/2. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 - -2.3. What is the nearest to o in -2, 3\/5, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 0. Let g = -5 - z. What is the third smallest value in -0.3, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 4*v - 29. Let q(p) = -64*p - 196. Give q(y(i)).\nAnswer: -192*i**2 - 256*i + 1660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 460 + -275. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l - 2. Let y be 17\/(-4) + l\/(-8). Let z(q) = -2*q**2 + 179*q - 10. Let u(j) = -3*j**2 + 279*j - 15. Let i(r) = 9*u(r) - 14*z(r). Determine i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -4 + (-49 - (-33 - -11)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 40*w**2 + 9*w - 129. Let d be b(40). Which is bigger: d or 229?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 13 = 3*i. Let q be (6\/i)\/(6\/4). Factor 7\/3*w**3 + 0 + 3*w**5 + q*w**2 + 0*w + 5*w**4.\nAnswer: w**2*(w + 1)*(3*w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 6. Let c be g(6). Let j be 5\/(-20)*c\/9. What is the closest to 0.1 in j, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*r + 4*q, -3*r = 2*q + q - 24. Suppose 4*i - 18 = -2*p, 4*p + 12 = i + r. Solve i*y = 4*z, -4*z - z + 3*y = -13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-9)*(((y\/(y*y\/y**(3\/10)))\/y)\/y)\/y assuming y is positive.\nAnswer: y**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32057331 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 16*d. Let v(f) = f. Let b(s) = 3*s. Let h(t) = -b(t) + 4*v(t). Suppose -2*o = -12, 6*o - 222 = 5*z + 9*o. What is z*h(l) - 3*r(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/20? (a) -2 (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1272, -1267, -1272, -1293, -1336, -1407, -1512, -1657?\n\"Answer: -q**3 + q**2 + 9*q - 1281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6bb6045 - 2?\nAnswer: 6bb6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6760.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43393, 87476, 131563, 175654?\n\"Answer: 2*x**2 + 44077*x - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2045 + 2909. Let u be (-1)\/(-2*3\/f). Let g = -1 + u. Calculate the highest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 5, -1, 877703, -4 in increasing order.\nAnswer: -4, -1, 0, 4, 5, 877703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-55)\/165)\/((-1)\/12). Solve f = -3*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - (-10 + 9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4137)\/2025 - (-40)\/500 and (0 - 1) + (-2)\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5885 is divided by 1176.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2052.324234 and 1.802.\nAnswer: 2054.126234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 - b**4 + 2)*(19*b + 3 - 3).\nAnswer: -19*b**5 + 38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 345*s - 326*s - 410856. Is 159 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = a - 25, 2*a - a - 1 = -3*r. Suppose a*n - 5*n - 25 = 0. Let m = 11 + -7. Solve -5*j + 20 = m*z, -n*z - 6 = -4*j + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237416*h**3 + 0*h + 292874*h**3 - 4*h + 4*h.\nAnswer: 530290*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24728 and 75308?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -248*b + 392. Let m be a(13). Let u be (4\/(-7))\/(m\/2800 - -1). Calculate the greatest common factor of u and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.215188ml in litres?\nAnswer: 0.000215188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 402 and 721255.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:11 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-25)*o)\/((o\/o**3)\/o*o))**(-6\/7))**(-10\/9))**(-3\/5) assuming o is positive.\nAnswer: o**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from vyibiy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:12 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 15*q - 15. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (sqrt(242) - -2*(sqrt(242) + 0)) - sqrt(242)) + -5 + -3)*2)**2.\nAnswer: 2112*sqrt(2) + 8968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(8)\/sqrt(2)*-5) - ((sqrt(65) - 2*sqrt(65))*2 + sqrt(65))\/sqrt(5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -30\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**3 - 2*c**2 + 122*c - 245. Let g be a(2). Solve -21*n = -32*n - g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-519 + 492 + 334)*((3*c + 0*c - 4*c)*(-1 - 2 + 4) + 12*c - 8*c - 2*c).\nAnswer: 307*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 673003517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -19*h. Let i(v) = -26*v - 27. Calculate d(i(j)).\nAnswer: 494*j + 513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 2. Let b be i(1). Let v be (b\/6)\/((-2)\/(-4)). Let c = v + 1. Solve c = 2*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 + 7485*a**4 + 3481515*a**3 + 516730995*a**2.\nAnswer: 5*a**2*(a + 369)**2*(a + 759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**5 + 2*v + 5.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 170*t + 161. Give r(-4).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 2\/301 (c) -1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 14. Let u be t(13). Let r be (0 - -1) + (1 - 1). Let h = 14 + -13.9. What is the nearest to u in 0.3, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 326 and -3264.\nAnswer: -1064064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22011111 (base 3) to base 14\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/6 - 61*g**4\/6 - 599*g**3\/3 - 1113*g**2 + 5733*g\/2 - 3087\/2.\nAnswer: -(g - 1)**2*(g + 21)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(204) - (sqrt(204) + 6*1*sqrt(204))))\/((sqrt(588) + sqrt(588)*2)*-2*6).\nAnswer: -sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 37 = 13. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/18 - (0 - 3975\/27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 14*n - 554. Calculate the least common multiple of 216 and z(43).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/2, 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.052, -4, 1, -78, 5, -7 in descending order.\nAnswer: 5, 1, 0.052, -4, -7, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 29191063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*w**2 - 40*w**2 + 1303 + 3*w**2 - 1303.\nAnswer: -104*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:19 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 472659.2 and -576.\nAnswer: 472083.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54160466*g**2 + 23413741*g wrt g?\nAnswer: -108320932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/77 and -109\/182.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -1603400.\nAnswer: 1\/160340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/126)\/((-50)\/(-60)). Let p = -160 + 161. Sort 0.1, p, 1\/11, h in increasing order.\nAnswer: 1\/11, h, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 12.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5854*n**3*z**3 - 3097*n**3 + z**3 wrt z?\nAnswer: -17562*n**3*z**2 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 623690 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-6)*-3*1577\/(-114)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17745 divided by -105?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/30 + w**4\/3 - 4*w**3\/3 - 2*w**2 + 10. Determine c(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -71\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39250707, 39250704, 39250701, 39250698, 39250695?\nAnswer: 39250692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4655 + 21*m - 4654 + 15305 - 5995.\nAnswer: 21*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -440020241 (base 5) to base 7\nAnswer: -21643216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 49*d**3 - 5*d**2 - 9*d. Let c(y) = -12*y**3 + y**2 + 2*y. Let l be -16 + 1 + 0 + (655 - 649). What is l*c(v) - 2*q(v)?\nAnswer: 10*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19589 by 45.\nAnswer: 19589\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -85309 and -162.785777.\nAnswer: -85471.785777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 2. Let p be v(-4). Suppose -5*j = 5, -s + p*j = -144 - 337. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*d + 8 - 2, 3*d - 6 = 3*w. Suppose -4*r = -5*r + 4. Suppose 4*c = 2*c. Solve d*i - r*i = c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.01779 - -0.17221. Round f to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1285, -872, -3029, -5186, -7343?\n\"Answer: -2157*a + 3442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 23 = 5*t, -15 = -21*t + 26*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/3 + 8750*r**2\/3 + 26212*r\/3 - 87440\/3 = 0.\nAnswer: -4372, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -257 - -282. Solve d*l + 96 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 9*n**2 + 3*n + 29. What is g(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.22, -4, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -83, -5 in decreasing order.\nAnswer: 5, 3, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -298, -303, -320, -355, -414, -503?\n\"Answer: -z**3 + 2*z - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 + 2*u - 3. Suppose -q - 3*f + 4 = -3, 0 = -5*q + 3*f - 1. Let h be z(q). Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 - j + 1. Let c be k(5). Let d be -2 + 1 - (-6)\/(-2). Let v be d\/(-2) + c + 2. Solve -4*a + v = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 - (-9 - 1) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/122586 and -145\/444?\nAnswer: 9071364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f = -29*f - 918. Suppose f*m = 106*m - 984. Is 82 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4215.9 + 4459.928. Let g = -255.7 + j. Let s = -0.028 + g. Round s to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**3 + j**2 + j - 1. Let s be d(1). Suppose -4*k + 2*m + 116 = 0, 3*k - 3*m - 1 - 86 = 0. Suppose s - k = -3*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -1, -4, -5, 2, 9.\nAnswer: -148, -5, -4, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 4. Let n(w) = -w - 15. Let f be n(-13). Let u be (-2 - -3)*(3*2 + f). Solve -4*g - 2*q + 12 = 0, g - 5*q = -u*q + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-81 + 22 - -32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -1\/30*c**5 - 20\/3*c**2 + 1\/180*c**6 + 21*c - 28\/9*c**3 + 0 - 2\/3*c**4. Find v, given that j(v) = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 725811\/(-36110)*(-20)\/(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*3\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*36\/20)\/((-4)\/10). Suppose -14 + b = -a. Suppose 5*z + 22 = 4*f, -f + 5*f = 4*z + 20. Solve w = a - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1185 and 103\/357396?\nAnswer: 1786980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 + v**2 - 23*v - 5. Let p(r) = 6*r**3 - r**2 - 23*r - 4. Let n(y) = 2*p(y) - 3*u(y). List the prime factors of n(-9).\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8547 = 824*q - 1464 - 3173 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -1212, -2669, -4692, -7281, -10436?\nAnswer: -14157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 153, -2, -4 in increasing order.\nAnswer: -4, -2, 4, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 3*c + 1. Let b be y(-3). Let u = b + 2. Suppose -12 - u = -5*w. Solve w = 5*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 4) to base 12\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 3. Let a be j(6). Suppose -t - 3 = 0, -6*z + t - a = -z. What is the tens digit of (-4)\/z - (-340)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*i - 5*i**2 + i**2 - 209*i + 2*i**2 + 38*i to g*i**2 + k*i + l and give k.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 375 - -373. What are the prime factors of c?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -179*d**2 + 14*d - 2415. Let w(c) = 65*c**2 - 5*c + 805. What is 4*b(v) + 11*w(v)?\nAnswer: -v**2 + v - 805","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 0. Let y(m) = m**3 + m**2. Let v be y(-1). Suppose v = s*z - 7*z + 120. What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -10\/34241813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2 - 598108680*v - 22358374568208900 = 0.\nAnswer: -74763585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d**2 + 143*d + 3. Let x be b(-13). Suppose 0 = 3*r - 4*y - 78, 0 = r - x*y + 4*y - 26. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 + 82*b**3 + 272*b**2 - 352*b = 0.\nAnswer: -4, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1542)\/(-10280))\/(3\/16)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98898831.\nAnswer: 3, 1621, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 1045?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-5)*32890\/(-1794).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3 (c) -11260 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.13 - -33. Let f = 2.53 + v. Let y = f - 2.3999935. Round y to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 105*d**2 - 3*d + 5. Determine o(1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 - 63. Solve -4*f = -2*g + 6, p*f - 5*g + 1 = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8428 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 26. Suppose 2*k = -2*i + 12, 5*i - r*k - 1 = 22. Which is the third smallest value? (a) i (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -32*i + 122. What is l(5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 349*x**3\/6 - 357*x**2\/2 - x - 36. Differentiate t(y) wrt y.\nAnswer: 349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22930395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 46*t**2 + 1162*t + 262. Calculate g(-25).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 42*d - 6. Let u be k(6). Let o be 6\/4*u\/9. Is 41 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**0)\/t*t**(-22)*t*t**(-19)\/t*t**(2\/7) assuming t is positive.\nAnswer: t**(-278\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -17\/2, -15\/8, -263, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 511834765 divided by 5\nAnswer: 102366953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343*j**3 - 571*j**3 - 234*j**3 + 26*j + 1045*j**3 - 8*j.\nAnswer: 1583*j**3 + 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y + 2. Let d be u(2). Let m = 31 - d. What is the remainder when 48 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 9*z**2 - 3*z - 1422. Let d(y) = -2*y**3 + 12*y**2 - 4*y - 1423. What is 3*d(m) - 4*s(m)?\nAnswer: 2*m**3 + 1419","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.952 + 21. Let g = u + -1.858. Let h = -0.69 - g. Round h to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 370 (c) 1\/6 (d) -0.1 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1692152 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**24\/t)**11 assuming t is positive.\nAnswer: t**253","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96519562.\nAnswer: 2, 48259781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) -9 (c) 1 (d) -70 (e) 2 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 - 1685*o**3 - 3335*o**2 + 5025*o = 0.\nAnswer: -335, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Let n = -16 + 11. Let m(l) = -9*l**2 + l. Let o(i) = n*c(i) - 3*m(i). Find the second derivative of o(w) wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 353.76, -1\/6, 33?\nAnswer: 353.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**2 + 171*s + 77. Calculate the remainder when y(33) is divided by 140.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 88 - 91 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.58091 to 0 dps.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 23*v - 187. What is f(-16)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = 5*n, -u - 11 = -0*u + 2*n. Let h be (-57)\/u + (-2)\/(-7). Suppose 14 = -w + h*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/186)\/((-1)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 18?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**3 + 3*k**2 + 0*k**3 - 8*k**2 + 4 - 3*k. What is the tens digit of m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 925893 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33688, 134672, 302950, 538522, 841388, 1211548, 1649002?\n\"Answer: 33647*p**2 + 43*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, x: 1, t: 9}. Give prob of picking 2 t and 1 h.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2)*i)**37*i**7\/((i*i**(-2\/5)*i)\/i))\/(i*i**(-5)*(i\/(i*i*i**8))\/i*(i*(i**(-3)*i*i)\/i)\/(i**(1\/4)*i)) assuming i is positive.\nAnswer: i**(3413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 28*j + 29. Let y(d) = -2*d**2 - 27*d - 26. Let m(o) = -3*i(o) - 2*y(o). What is m(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {z: 13, h: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4860) + sqrt(4860))\/(-1*sqrt(1200)).\nAnswer: 9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 48*h + 2. Let n be a(24). What is the derivative of -21 - 56*w**2 + 10 + 9*w**n - 17 wrt w?\nAnswer: -94*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191004 and 1409378.\nAnswer: 93018948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3428092*a**2 - 13332642*a?\nAnswer: 6856184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 9*x - 9. Let g(u) = u - 1. Suppose 0*z - 4 = -2*z. Let i = -200 + 524. Suppose -28*d - i = 180. What is d*g(c) + z*o(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 49931, 5 in descending order.\nAnswer: 49931, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 6*m**3 + 2*m**3 - 2 - 9*m + m**3 + 0 - 8*m**3 to the form u*m**3 + h*m + j*m**2 + s and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2. Let h(r) = -1 - 6*r - 2 + 3. What is h(u(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 4*h**2 + 7*h + 5. Let d be i(-5). Let r = d - 0. Let u = 413\/5 - 83. Which is the biggest value? (a) r (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -6 + 10. Let g be t - -1 - (-6 + 4). Suppose 0 = -g*y + 21*y - 4634. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.01 - 0.01. Let x be (-1)\/3 + 1 + -1. Which is the closest to 0.2? (a) -5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaan when four letters picked without replacement from ttnttatwtwtttn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 3. Let y(z) = 3*z - 5. Let r(a) = 5*x(a) - 3*y(a). Let k be r(1). Suppose 12*j - 179 = -191. Sort 4, k, j, -19 in descending order.\nAnswer: 4, j, k, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1178183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934531 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56887142 - 30517142. What is x rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 40 = 0. Find the first derivative of -10*o + v*o + 2 - 3*o**2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 419, 47, -2\/9 in decreasing order.\nAnswer: 419, 47, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-30)\/(-2 - -5). Sort 16, u, -9.\nAnswer: -9, u, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -31. Let o(n) = -n**3 - 5*n**2 + 5*n - 5. Let h(i) = i**3 + 4*i**2 - 4*i + 4. Suppose 3*f = -m - 20, 8*f + 4*m + 30 = 6*f. Give f*h(q) + g*o(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-44)\/(2 - 195\/90) is divided by 127?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 11 - 11)*(1 - 1 + 17)*(-4*m - 4 + 4)*(-2 + 3 - 3) in the form s + y*m and give y.\nAnswer: -2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11 = -24*z + 29*z, 3*n + z - 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01109 - 216013191.\nAnswer: -216013190.98891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64845226 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let k be (-1 - t)\/(-3 - -2). Suppose -z - z = k. Solve z*q - q + 11 = -3*b, 8 = -3*b + 4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) + -2 + sqrt(7) + (sqrt(42)\/sqrt(3))\/sqrt(2))*4 + (-3*(1 + sqrt(7)) - (sqrt(7) + (sqrt(7) + -1 - sqrt(7)) + -3)))**2.\nAnswer: -112*sqrt(7) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-21))\/((-1 - 0)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 4, g: 1, u: 1}. Give prob of picking 1 h and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*d**2 + 125*d - 125*d + 114*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8639.97 litres?\nAnswer: 8639970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*o**3 - 18 + 18 + (-o - o + 0*o)*(-2*o**2 - o**2 + 2*o**2).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*f**2 + 3*f**2 + 5 - 7*f**2 wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*i**5 - 4*i**4 - 38*i**3 - 94754*i wrt i.\nAnswer: 1460*i**3 - 48*i**2 - 228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b. Suppose h = -b*h + 3. Suppose 5*r - h*y - 17 = 0, r - 5*y - 25 = -4*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1628?\nAnswer: -4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -461*y - 70081. What is d(-152)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1 + 5 + sqrt(19) + (-6*(sqrt(76) - sqrt(19)) + sqrt(19))**2.\nAnswer: 2*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.4873 less than -3138?\nAnswer: -3160.4873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:18 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54270 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -8, 6, 26, 52?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02631 rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from rkkyyykyvata?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4642*a - 11668*a + 7031*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**2. Let s(a) = a**2. Let d(h) = -3*g(h) + 21*s(h). Let t be (-3 + 3)*(1 + 0). Let b(l) = 4*l**2 + t*l**2 - 6*l**2. What is d(b(m))?\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*k + 878 = 0, 20*k - 1 = 19*k. Calculate the remainder when w is divided by 1\/(-3)*-3 - -19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k + 1. Let w be a(5). Let r(q) = 4*q**2 + q. Determine r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*n**3 + 5515*n + 4905582 with respect to n.\nAnswer: -66*n**2 + 5515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**4\/24 - 5*q**3\/6 + 16*q**2. Let h = -6 + 9. Determine c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 10*w + 26. Let m = 2 - 14. Calculate the lowest common multiple of 1 and a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*-6 + (1 + sqrt(320))**2.\nAnswer: 10*sqrt(5) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/14 + -114 + 112)\/(2\/(-4)). What is the nearest to -2\/5 in 214\/9, 2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 75159707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29190, 29197, 29204, 29211?\nAnswer: 29218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3682 and -0.771.\nAnswer: 2838.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - v**2 + v**2)*(6*v + 10*v + v) as u + t*v**2 + z*v**3 + f*v and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-10)*125\/725. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -4 + -31 + -63 + 70.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*1\/5 - 4728\/30. Let u = -789\/5 - l. Sort 0.06, -5, u in descending order.\nAnswer: u, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.499914 - 10.5. What is v rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j = -44*j - 22. Let q(x) = x**3 - 5*x**2 + 4*x - 2. Let f be q(3). Let s = f + j. Solve -s*y - 15 = 0, c + 2*y + 7 = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 1. Let h be i(1). Solve 5*r = 4*p, 4*p = -8*r + h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -407, -793, -1169, -1535, -1891?\n\"Answer: 5*q**2 - 401*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7671, -7709, -7775, -7869?\nAnswer: -7991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/56)\/((-3)\/(-8)). Suppose -94 = 5*y - p*m, 0*y - 5*y + 5*m = 85. Let c = 41 + y. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21872197.\nAnswer: 277, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -38. What are the prime factors of n\/5*570\/12?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182.70262 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-three fifths of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 - 1. Let o be w(-1). Let x(s) = -o - 13*s**2 + 6 + 2 - s**3 + s**2 - 4*s + 17*s**2. Let y(a) = -a**2 + 8*a - 8. Let d be y(6). Give x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-10)*(-16350)\/4251.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4917, 5911, 6821, 7653, 8413, 9107?\nAnswer: 9741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29819 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 9, d: 6}. Give prob of picking 1 d and 2 m.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3520\/7 - -502. Let t = 0.25 - -0.95. Sort -0.1, r, t in ascending order.\nAnswer: r, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -388*w**2 - 3089*w - 3091. Determine h(-1).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, 8, 3 in increasing order.\nAnswer: 3, 8, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 210498850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - u**4 - 2*u**3)*(-271*u + 35*u - 130*u)*(2 + 2 - 2).\nAnswer: 732*u**5 + 1464*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q. Suppose 35*y = 32*y. Let f(b) be the first derivative of -1\/3*b**3 + y*b - 3 + 0*b**2. What is f(w(i))?\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*p + 2, 2*p + 2 = 2*t - 0*p. Suppose -5*z + 2 = -4*m, -z + 5*m = 3*z + t. Suppose 16 = z*w + 2*w. Solve -c - 6 = -w*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f + 60. Let v = f + 20. Let p(s) = s**2 - 3*s. Let d be p(3). Solve 25 = -v*m - d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1482 + 1478. Which is the third biggest value? (a) z (b) 0.3 (c) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -18. Calculate the highest common factor of q and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*4\/(-48))\/(7\/3)*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {f: 1, c: 1, p: 1, z: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29\/1577?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 655 - 413. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 - 17*h**2 - 16*h + 30. Let k be l(-13). Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 2. Let m(h) = h**2 - 2. Let n be m(2). Let w(i) = 12*i**2 - 22*i. Let f be w(n). What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(924\/(-36)) + 31\/(-56). What is the third biggest value in g, -0.5, 10\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31956921?\nAnswer: 3, 1787, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5875*t - 28. List the prime factors of n(-2).\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146925*s**2 + 234106.\nAnswer: -293850*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*u + 8 = 0, -5*u + 4 = -3*w - 28. List the prime factors of (-48)\/36*66\/w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 14. Let x = -11 + w. Suppose -t = -0*t - x. Which is greater: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22737 (base 8) to base 12.\nAnswer: -573b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*v - 0*v - 20, 4*v + r = -4. Let q = -746\/39225 - 4\/523. Let h = q - -47\/75. Which is the second smallest value? (a) h (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(96)*2).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 5*b - 11. Let h(t) = -t**3. Let s be h(-2). Is y(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/48 + c**5\/12 + 5*c**4\/4 + 9*c. Let m(s) be the third derivative of u(s). Find the first derivative of m(q) wrt q.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -13\/17 (b) -21 (c) 3\/4 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1841?\nAnswer: -1844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3196, -3196, -3190, -3172, -3136?\n\"Answer: u**3 - 3*u**2 + 2*u - 3196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 23*x. Let d(l) = -1393*l**2 - 2311*l. What is w(d(a))?\nAnswer: -32039*a**2 - 53153*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -14094927*c**4\/2 - 38765661*c**3\/4 - 3064455*c**2 + 388647*c\/4 - 735 = 0.\nAnswer: -5\/6, -4\/7, 7\/473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 12:20 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + (-100 - (93 + 22)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, x: 2, e: 1, t: 1, q: 5, o: 1}. Give prob of sequence eoi.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 25. Suppose y*j + 2*j - 158 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 7 + 27 = 0. Let w be ((5 + x)\/(-7))\/(1\/4). Let l(v) = v**3 + 3*v**2 - 2. What is l(w)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1591 = 4*v - 5*x - 1199, -v = 2*x - 704. Calculate the greatest common factor of v and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 31119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3264)*-1 + sqrt(51))*6)\/(-2*sqrt(27)*-1).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 675928 and 115583688.\nAnswer: 115583688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0525995 and -6586430.\nAnswer: -6586429.9474005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1251\/8 + 156. Which is the nearest to 1? (a) w (b) 0.02 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20100 + -3?\nAnswer: -20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 14) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23120 (base 7) in base 2?\nAnswer: 1011100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169924774 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**7\/1155 + a**6\/660 - a**5\/330 - a**4\/132 - 3*a**2. Factor q(j).\nAnswer: 2*j*(j - 1)*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 + 685. What are the prime factors of q?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u. Let s(o) be the first derivative of -o**4\/12 - 3*o - 30. Let k(g) be the first derivative of s(g). What is k(z(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -583 - 1?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -184*u**3 + 1. Let j be 15\/10*4\/(-6). Let p be x(j). Suppose q + 3*v = -3*q + p, 5*q = -2*v + 233. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12076704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 6788. Let g(h) = -2*h + 4529. Give 5*a(u) + 7*g(u).\nAnswer: u - 2237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a - 34*a**2 - 8*a**2.\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4140, -32710, -110156, -260916, -509428?\nAnswer: -880130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-2))\/(-16)*2*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 5. Let u(z) = 644*z + 643*z + 11 - 13 - 1289*z. Give 2*o(q) + 5*u(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybbynby. Give prob of sequence ny.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 12. Let f be t(0). Let n = f - -6. Calculate the remainder when 20 is divided by (-2)\/n + (-128)\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + 20. Suppose r = 6*p - p. Let i(l) = l**3 - 10*l**2 + 4*l - 4. Let s be i(p). Calculate the greatest common factor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**8\/560 - 13*m**7\/840 + 2*m**6\/45 - m**5\/30 + 16*m**3\/3 - 12*m**2. Let z(n) be the first derivative of y(n). Factor z(p).\nAnswer: p*(p - 2)**2*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 14*u**2 + 11*u - 8. Let t be (11 - 2)*2\/(-3). Let b(r) = -2*r - 25. Let y be b(t). What is the units digit of s(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 12. Let w = -3 - t. Let j = 3 - 0. Solve q + 2*q = w*k - 17, 3*k - 9 = j*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 9. Let v be 2 + (-3 - g) + 19. Let r be (-11)\/(-2) - 2\/4. Solve 0*j - v = r*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by -6.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 1 + 1)*(-2*p + 2*p - 2*p**2) + 2*p**5 - 2*p**5 + p**5 + (0*p + 9*p - 2*p)*(-p**4 - 4*p**4 + 3*p**4).\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.1 and 91307?\nAnswer: 1013507.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 165 + 23\/20*o**5 + 25*o + 361\/12*o**3 + 1\/24*o**6 + 163\/16*o**4 + 40*o**2. Factor u(h).\nAnswer: (h + 1)**3*(h + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37449\/94 less than 399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -0.3, -4, -0.27, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 7. Let y be d(2). Is (0 - (y - -10568))*(0 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -4101670 in ascending order.\nAnswer: -4101670, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -644ae?\nAnswer: 644a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*2*sqrt(85))\/((sqrt(135)\/sqrt(3))\/sqrt(9) + sqrt(20)*-1).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1895 = -630*n - 6847 - 6078 + 330 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 92.\nAnswer: 13\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k**2 + k + 1. Let n(x) = -6*x**3 + 4*x**2 + x - 3. Let u(s) = n(s) + 3*p(s). What is the tens digit of u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 175*d - 1304 = -402 + 1380 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4085029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 1:30 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 6. Suppose 7 = y*k - 7. Suppose 4*q = z, -3*q = -k*q + 16. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -49. Suppose -7*m = -f*m + 900. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1*(-2)\/((-56)\/(-196)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14372617 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(132) + 2*sqrt(132)*4))\/((sqrt(120)*2)\/sqrt(10) + 2*sqrt(108)).\nAnswer: -27*sqrt(11)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39282, 42549, 45816?\n\"Answer: 3267*k + 36015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54671423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 11*i + 3. Let t be s(-11). Suppose -4*a - t*p = 1, 4*a - 8 - 6 = 2*p. Solve -3*h = -a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.3 (b) -9 (c) 43.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -867 by -867.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71675*f + 401280*f - 2 + 10 - 8.\nAnswer: 472955*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + z)*(92541*z**2 - z**3 - 90283*z**2 - 5*z**3) to l*z**4 + f*z**2 + g*z + b + m*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -163397, 372 in increasing order.\nAnswer: -163397, 3, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 12*h**2 + 14*h + 25. Let k be w(-11). Let m = -7 - k. Is (-4172)\/(-14) - (m - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b - 2507?\nAnswer: -24ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001269372 rounded to six dps?\nAnswer: -0.001269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.069 (b) -3 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000735 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(19\/57) - -220. Let m = 223 - j. Solve 4*f = -m*q - 12, -2*f = 3*q + 1 + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1777763978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -1 - (-339 - -318).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 + 6*l + 4. Let a be x(-7). Let p = a + -6. Let h(f) = -f**2 - 6*f + 4. Let q be h(-6). Solve q*j + p = 3*c, 0 = j + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3231231?\nAnswer: 3231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21186)\/(-28248) - (-73)\/4*(-2)\/22?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 1131 = 541. Suppose -9*a + u = -5*a. Calculate the remainder when 147 is divided by a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*l + 6*l - 16*l - 44*l**3)*((0 - 1 + 3)*(6 - 3 - 2) - 1 + 2 + 2) in the form u*l**2 + j + o*l + r*l**3 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369.4433 months in centuries?\nAnswer: 1.14120275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 + 75. Let l be ((-4)\/12)\/(111\/o - -3). What is the derivative of 8 - 25*h**l + 637*h - 637*h wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17466*o - 17463*o - 5*r - 4 = 0, 6 = -2*o - r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366776.9 minutes in days?\nAnswer: 949.150625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(168)*1)\/(sqrt(294)*-1) + (sqrt(252) - (sqrt(252) + -1*sqrt(252)*-1))\/(-4*sqrt(144)))**2.\nAnswer: 7921\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50120 and 60?\nAnswer: 150360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2165, 2, 3 in decreasing order.\nAnswer: 3, 2, -4, -2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2620 and 255.\nAnswer: 133620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -903 + 933. What is the greatest common factor of 165 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 4098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = -2*y + 6*y, -k + 1 = -4*y. Solve y*n + 3*n = t - 8, 3*t = n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 108061.19269929 and 0.06.\nAnswer: 108061.25269929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-9\/13))**(-18\/7)\/((b**(-1))**32)**(-3\/29) assuming b is positive.\nAnswer: b**(-96\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {l: 1, d: 1, f: 1, r: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t + 4. Calculate the least common multiple of j(-7) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - s - 7*s**2 - 81 + 143 - 85 as d*s**2 + y + i*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -2, 0.3 in decreasing order.\nAnswer: 0.3, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -69, 287, 889, 1743, 2855, 4231, 5877, 7799?\n\"Answer: b**3 + 117*b**2 - 2*b - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 13 + 12 - 3*g - 42.\nAnswer: -3*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2751, 3042, 3333?\nAnswer: 3624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*t**6 - 15241*t**4 + 129859*t**2 - t wrt t?\nAnswer: -1200*t**3 - 365784*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 254 + 97. What is the greatest common factor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 22*l - 35. Let v be x(-4). Solve v*w + 28 = 38 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001148015656 rounded to seven decimal places?\nAnswer: 0.0001148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -106 (c) 32 (d) -45 (e) -1 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.727 and 3001231.\nAnswer: 3001234.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43430 is divided by 119.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = -8*b + 7*b - 5 - 4, -4*k = 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - 28 = -3*n, -26 = -3*n + 2*v. Let p = -17 - n. What is the remainder when (-963)\/p + (-2)\/3 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 15) to base 14.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 14 in decreasing order.\nAnswer: 14, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**3 - u**2 - 6*u + 5. Let m be z(4). Let x be 1797\/m - 12\/114. Which is greater: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 16*j + 0*j = j - 60, 3*r + 5 = 3*j + 38 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w + 186 = 3*b + 82*w, 5*w + 10 = -5*b + 9*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1507300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 - 7*c + 60. Let s(t) = -7*t**2 - 6*t + 50. Let p(m) = -5*q(m) + 6*s(m). Let k(y) = y**3 - 4*y**2 + 3*y + 1. Let g be k(3). Calculate p(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 13 = -3*l - 4, 0 = 5*l - 20. Let t = -24 - x. Suppose 4*p + 5*f - t = 0, 5*p - 3*p = -5*f - 5. Solve w + 1 = z, -p*z + 5 = -0*z + 4*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 - 27320*w**2 - 54616*w + 218528 = 0. Calculate w.\nAnswer: -13658, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 7*n = -4*k + 20657, -3*n + 10325 = 2*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2322?\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404441935.\nAnswer: 5, 5087, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109*x**3 - 12447*x - 2648337?\nAnswer: 327*x**2 - 12447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1225 - -921.2. Let f = -304 - p. Which is the third smallest value? (a) f (b) -22 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-10)*(-12485)\/908?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*l - 54 = -6*n, -n = -4*l - 33. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:53 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*(-6)\/144?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10029604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(24\/6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 3. Let x be k(6). Suppose 0 = -x*n - 2*n - 20. Let l be n\/14 - (-30)\/35. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 2. Determine t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 263*a**2 - 1453*a - 78. Calculate v(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 + 0.03. Let t(i) = i + 12. Let j be t(-8). Suppose 0 = 3*m + 12, 0*a - 5*a + j*m + 21 = 0. Are c and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3 - 2*n + 3 - 11 - 9. Let m be g(-7). Find the third derivative of 5*i**2 + m*i**3 + 3*i**2 + 5*i**3 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192294337 + -192294431.000073. Let a = b + 94. Round a to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27210089, -27210088, -27210099, -27210128, -27210181, -27210264?\nAnswer: -27210383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.11 (b) 4 (c) 0.029292 (d) 0.3 (e) -4 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 162061006 (base 7) in base 12?\nAnswer: 3804414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/924*266903\/(-7542) + (-4)\/(-6).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2225*c**4*g**2 - 2*c**4*g - 17*c*g - 10*c - 3*g**2 wrt c.\nAnswer: -26700*c**2*g**2 - 24*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1059, 1092, 1135, 1182, 1227, 1264, 1287, 1290?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110431 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -129 + 173. Let j(s) = 0*s**2 + 2*s**2 - 5*s**2 + 6*s + s**2. Give j(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18510 = 44*p - 77690. List the prime factors of p.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2185*r - 1012. Let j be k(1). What is the greatest common factor of j and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2402 (base 5) to base 8.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/266)\/(2\/(-4)))\/(-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -17*g**2 - 30*g - 20. Let a(d) = -2*d**2 - 3*d - 2. Let l(c) = 10*a(c) - b(c). Let s(x) = 298*x**2. Give s(l(y)).\nAnswer: 2682*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -35. Let b(u) = 8*u**2 + 5*u. Let z(y) = -7*y**2 - 4*y. Give v*z(k) - 4*b(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.008, 1.6635, -1\/12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*d - 423 = 0, d + 425 = 4*r + 6*d. Calculate the highest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppwwpccwjpxqpp. Give prob of sequence cqp.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.55 and -4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75 and 85.\nAnswer: -6375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 5*w - 465. Suppose 5*u - 101 - w = 0. Solve 112*y + 24*y**2 - 324*y**4 - 16 - u*y**2 - 504*y**3 - 41*y**2 = 0 for y.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, d: 13, p: 3}. Give prob of picking 2 d.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/3 - b**3\/3 + 3*b**2\/2 + 432*b. Let q be p(0). Let 2*o**2 - 2*o - 1\/2*o**q + 0 = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*d - 45. Let a be ((-168)\/(-30) - 5)*-5. What is the smallest common multiple of (-20)\/a*180\/50 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.02 + -0.02. Let q = j - -3. Sort q, 0.2, 0.5 in descending order.\nAnswer: q, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Suppose 4*p - 3*b + c = 27, -5*p = 3*b. Let q(m) = -m**3 - 17*m**2 - 41*m + 17. What is the lowest common multiple of q(-14) and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 211639860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/120 and -33\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8710 and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*j - 5*j - 8*j + 23*j)*(-4 + 5 + 3)*(-28 + 28 + 15*j) in the form s*j + r*j**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -793*z**2 - 4057*z**2 - 448*z**2 to y*z + m*z**2 + v and give m.\nAnswer: -5298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*p = 39 + 92, 94 = 2*k - 2*p. Let m be -1 - (k\/(-5) - 28). Solve -34*v = -m*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 smaller than -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 32*o + 3146. Give n(-100).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*p = 4*w + 6, 0 = 3*p - 6. Let s(k) = 2*k - 4. Let c be s(3). Suppose 80 - 12 = 17*a. Solve 4*i - c = -2*h - a, 5*i + 5*h = w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/49 - (2\/6)\/((-49)\/42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3 - 2276*k**2 + 168608*k + 710976 = 0?\nAnswer: -4, 84, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1652.\nAnswer: 495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 63975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -2\/15, 4, 0.11, 0.32, -1348\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - -2 - (6 + 2 + 9 - 18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -2, 5, 4, 268 in descending order.\nAnswer: 268, 17, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.872 + 1.072. Sort -3\/5, p, -0.4, 2\/9.\nAnswer: -3\/5, -0.4, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105352 (base 8) to base 6.\nAnswer: 432350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 453. Let r(c) = 11*c**2 - 1360. Calculate -3*r(d) + 8*w(d).\nAnswer: -d**2 + 456","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 + 165*o**3 - 235*o**2.\nAnswer: 48*o + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + 6 + 1 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:06 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-3) + (-2 - 5) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1062, 2115, 3168?\nAnswer: 4221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -288 - -287.18. Are 1\/5 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + (-94 - -108) + 4 + -5 + 4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from wnmwggnqng.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 72 = b, -3*y + 0*b - 3*b = 72. Find the common denominator of 10\/11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.39. Let z = v + -1.99. Let x = 3 - 6. Which is the closest to -0.1? (a) x (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(2 + (-5)\/5). Let h(g) = -2*g - 9 + 4*g - g. Give h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/10 + (-38)\/4. Does 13 divide (6\/r)\/((-3)\/153)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.05? (a) -2\/3 (b) -2865 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d**3 - 7*d**2 - 7*d + 8. Let h(f) = 2*f**3 - f**2 - 2*f + 1. Let l(v) = 5*h(v) - z(v). Let j be 0 + 2*(-2 + 1). List the prime factors of l(j).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*r + 3*r + 3*r)*(-2 + 7 - 3) + 5 - 5 - 3*r)*(31*r - 6*r**3 - 31*r) in the form p*r**3 + g*r + f*r**2 + j*r**4 + o and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 685, 684, 683, 682?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -23, -14, -1, 16, 37?\n\"Answer: 2*a**2 - a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7617*s**4 + 25*s**3 + 2*s**2 - 66396*s - 3?\nAnswer: 182808*s + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111776 - -111772. Let o = 1 + -4. Put -27, z, -5, o in ascending order.\nAnswer: -27, -5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157349, 314224, 471113, 628022, 784957, 941924, 1098929?\nAnswer: 1255978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1475.001 + 1475. Let p = 3 - -2. What is the second smallest value in -0.3, f, -5, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s\/(((s*s*s\/(s\/s**11)*s)\/s)\/s))\/s)\/s**(1\/21))\/((s\/s**(-2\/23))\/s*s)**(-2\/49))**(-1\/13) assuming s is positive.\nAnswer: s**(33821\/43953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 20*f - 252. Let m be t(51). Calculate the highest common factor of m and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 divided by -3673?\nAnswer: -2288\/3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*z + 19. Let b = -5 + z. Let f be (232500\/b)\/((-2)\/3360). What is f rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46748, 187521, 422144, 750617, 1172940?\nAnswer: 1689113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.16 + -13.6. Round u to 2 decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.6 (b) -44 (c) -42 (d) -0.4 (e) 341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -248744 > 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21013.7047 or 3?\nAnswer: -21013.7047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 45. Let j = -48 - t. What is the third biggest value in 1\/4, 2, -16, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13162 + 636.29.\nAnswer: -12525.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -393*p + 36090. Solve 83*r + p = 93*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 4. Solve 0 = -x + k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000352732522 to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 + 3)*((4 - 4 + 2)*(2*s + 0*s - 3*s) - 2*s + 2*s - s - 1 + 1 + s + 2 - s - 2).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 55, 2\/17?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 442399 (base 12) to base 11\nAnswer: 67a149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -31312?\nAnswer: -31329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 166 + -4122?\nAnswer: -3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -0.2, -43, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290749477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/7, 0.05, 26.07 in descending order.\nAnswer: 26.07, 2\/7, 0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9305900.34 rounded to the nearest ten thousand?\nAnswer: 9310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208602 - -1251611\/6. Let h = 0.8 + -3. Let j = 0.8 - h. Which is the second biggest value? (a) g (b) j (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -27. Sort -1\/4, h, -0.3.\nAnswer: h, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31037*d**3 + 31060*d**3 - 62101*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2148160 and 93659776?\nAnswer: 468298880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lggn when four letters picked without replacement from nxggggnl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u - 6. Suppose 0 = u*b + 1 - 5. Factor -81 + 81 - 4*v**3 - 4*v - 8*v**b.\nAnswer: -4*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5435 + -1099?\nAnswer: -6534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**4\/2 - 5*h**3\/6 - 29*h**2. What is the least common multiple of 9 and s(2)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 4. Let l be n(-4). Let g(v) = v**2 - 8*v. Let u be g(l). Let x(w) = w**3 + w + 13. Is x(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 30*j**2 + 115*j + 41. Is o(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -13. Let t be (-3)\/a + 6239922\/8. Let h be t\/12 - 6\/(-8). What is h rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:35 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14*g**2 + 4. Let s(k) = 15*k**2 + 17*k + 5 + k - 18*k. What is -5*d(a) + 4*s(a)?\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 13. Suppose -4 = -c - 3*c, -q*z = -c - 24. Sort 1, -1\/8, z.\nAnswer: -1\/8, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + 3*z + 1. Let v(f) = -f**2 - f. Let r(h) = g(h) + 4*v(h). Let a(j) = -3*j**2 + j - 8. Let x(w) = a(w) + 4*r(w). Factor x(m).\nAnswer: (m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279?\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide -18 + 5 + 8 + (-7)\/((-7)\/3655)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, -3166, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 71. Let g(i) be the first derivative of -2\/3*i**3 - 2*i + a - 2*i**2. Factor g(t).\nAnswer: -2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 28*c**2 - 2*c + 2. Let w be g(-3). Let x = 154 + -308. Let t = w + x. Calculate the remainder when t is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.33 - -15.3. Let k = 0.76 - 0.43. Let w = s + k. What is the smallest value in -4\/5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1732, -3346, -4958, -6568?\n\"Answer: t**2 - 1617*t - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4. Suppose 0 = 6*h + 48 - 30. Let a(v) = v - 2 - 1 - 2*v. Determine h*m(z) + 4*a(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71397638*n**2*u - 6986*n*u - n - u + 60 wrt n?\nAnswer: -142795276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 27*h + 2. Let g be b(5). Suppose 4*a - 2*a - g = 0. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 75. Let n be (-10)\/g - 28\/(-6). Suppose o - 2*q + 0*q + 1 = 0, n*q + 1 = 3*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 3*d**2 - 2*d**2)*(4 - 4 + 2*d**2) - 3*d**4 + 5*d**4 - 4*d**4 + 2*d**3 + 2*d**4 - 31 + 28 + d**3.\nAnswer: -2*d**4 + 3*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninnniicninc. Give prob of picking 1 c and 1 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1703017720 to the nearest 100000.\nAnswer: -1703000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139943.\nAnswer: 139943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/24 and -25\/6092.\nAnswer: 36552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -22*l - 13*l + 111. Calculate the lowest common multiple of 1955 and l.\nAnswer: 5865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 7*r + 27*r - 18*r. Let k(d) = 27*d. Give j(k(g)).\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 5)*(-z - 6*z - 124*z)*(-z - 1 + 1) to the form m*z + v*z**2 + o and give v.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000810524819 rounded to seven dps?\nAnswer: 0.0008105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164876445.\nAnswer: 3, 5, 31, 39397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -3*s - 5, 22 = -5*s - u. Let x(f) = 4*f**2 + 4*f + 42. What are the prime factors of x(s)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 7 - 1236*z + 4 to j*z + p and give j.\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-2 + sqrt(539) + 0 + sqrt(539) + -3*sqrt(539)*1)*-5)*4)**2*3.\nAnswer: 40320*sqrt(11) + 653712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48\/(-1))\/((-14)\/42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29*q**2. Let o(r) = -15007907*r. Give o(n(d)).\nAnswer: -435229303*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*a**16*a*a*a*a*a)\/a*a)\/a)\/(a**(4\/5)*a)*a*a**(-3\/14)\/a*(a**19*a)\/a assuming a is positive.\nAnswer: a**(2799\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 52*n**3 + 17*n**2 + 3*n - 2. Let j(v) = 53*v**3 + 14*v**2 + 4*v - 2. Calculate -5*j(r) + 4*o(r).\nAnswer: -57*r**3 - 2*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxzdxzuxfdxxzzzzz. Give prob of picking 2 d and 1 z.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937342 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1797 - -613. List the prime factors of z.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -4*l**3\/3 + 13*l**2\/2 + 291*l - 227. Find the first derivative of k(o) wrt o.\nAnswer: -8*o + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 0*z + 0*z + 2*z**2 + 4*z**2 - 13. Let s(k) = -25*k**2 + 6*k - 24. Let f(a) = -104*a**2 + 25*a - 100. Let u(t) = 6*f(t) - 25*s(t). Calculate u(b(x)).\nAnswer: 36*x**4 - 156*x**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2))\/(p\/(p*(p**3*p)\/p))*(p**(-1\/2))**(-46) assuming p is positive.\nAnswer: p**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 + 16 = 0. Solve 2*c - d = -3*b, -4*b - 5*c + 3 = -2*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = 0. Let m(d) = d**2 + 6*d - 14. Let u be m(5). Suppose 2*t - u - 27 = k. What is the remainder when t is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2 - -6)\/(-2). Suppose 0 = 4*c + 4*b - 4, u*c + 2*b = -3*c + 2. Suppose 4*r - 4 = 4*q, 0 + 1 = 3*q - 4*r. What is the closest to -0.1 in c, q, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-54)*4\/(-6)*5\/(-350)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-2)*(-79)\/((-13509)\/570).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-68 - -103) - -10.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -45*q**2 - 115*q - 50 = 0.\nAnswer: -2, -5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14*l**2 + 8*l + 25. Let k(v) = 29 - 3*v + 10*v - 15*v**2 + 14 - 19. Let c(s) = -5*g(s) + 6*k(s). What is the derivative of c(y) wrt y?\nAnswer: -40*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 20*n = 0. Suppose 569 = 4*y + 5*w, n = w + 5 - 2. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152766573 to the nearest integer?\nAnswer: 12360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 4*a - 38. Let l(r) = -2*r**2 + r - 2. Give -i(y) - 4*l(y).\nAnswer: 3*y**2 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27351 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*f**3 - 17846*f**2 + 17846*f**2 - 97*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 4*x + 3*x - 1. Does 2 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(-95 - 93 - 5*c**2 + 182) to g*c + m + r*c**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 55.\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 358 + 10*t - 11*t - 19*t**2 - 358. Suppose 5*s = 4 + 6, 4*x = -3*s + 10. Give b(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c + c**2)*(-367*c - 12 - 379*c + 18 + 733*c + 40) to l + b*c**2 + v*c + o*c**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {x: 8, f: 1, r: 1, m: 2, v: 5}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2 + 3*u - 2 - 2*u - 2. Give s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 10*i + 26. Let p be a(7). Let b(w) be the second derivative of -w**3\/3 + 2*w**2 - w. Determine b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1690 = 2*l - 829, 5*l = g + 6305. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 2*s - 4. Let z be j(4). Solve z*d - 22 = -3*r, -6 = -4*r + r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:05 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Let i be (r\/5)\/(6\/15). Suppose -i*b = 9 - 33. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31.9999986 + 32. Round z to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*(sqrt(300) + 1 + sqrt(300)) - sqrt(300))**2 - (sqrt(300) - (-2 + (sqrt(300)*-1 - sqrt(300)) + sqrt(300))**2)) + 3.\nAnswer: 50*sqrt(3) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1240314250 and 1750?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001011 + 12212?\nAnswer: -1211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37012*n**6 - 56*n**4 + n**2 + 206*n + 19545?\nAnswer: 4441440*n**3 - 1344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138988.\nAnswer: 2, 34747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 13*o**2 + 12*o + 31. Let l be z(14). What is the second biggest value in -19, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8625737164?\nAnswer: 2, 11, 1620161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/2)\/((-9)\/(-12)). Let v be 38\/(-14) - (-4)\/g. Suppose -2 = 2*o - 3*o. Put -0.1, o, v in decreasing order.\nAnswer: o, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-7))\/v*v**(3\/2))\/(v*v**2*(v*v*(v\/(v*v*v\/(v\/(v\/v**(1\/8)))))\/v)\/v))\/(v**(-7)*v*v**5)**(1\/82) assuming v is positive.\nAnswer: v**(2751\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -1 - 0\/(-3). Let x = h + -6. Let g(p) = p**3 - 4*p**2 - 2*p + 5. Let q be g(4). Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151683 = -5*x + 3*j, -2*j + 66041 = 3*x - 24946. What is x rounded to the nearest 100?\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c + 11*c - 3*c as w + j*c and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 3, d: 3, w: 2, p: 1}. Give prob of picking 1 w, 1 s, and 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/(1*1\/8). Let n(y) be the first derivative of 3 + 0*y + 5\/2*y**h. Let g(j) = j**2. Determine n(g(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j**4\/3 + 76820*j**3\/3 + 2847967*j**2\/6 - 726395*j\/3 + 60933\/2 = 0. What is j?\nAnswer: -19, 1\/4, 9621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 - 319. Let x = 0.4 + -0.3. Put x, d, 1\/2 in decreasing order.\nAnswer: d, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6226 and 1216900.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1585 - 71. Suppose -4*m + 3516 = 4*f, 3*m - 2*f - 2637 = -f. Let s = c - m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l*l**(3\/8)))**4*(l*l**(-1\/3)*l\/l**6)**30 assuming l is positive.\nAnswer: l**(-319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.54 + -54.94. Round w to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, 5, -0.2, 0.3, -4, 17\/5 in descending order.\nAnswer: 5, 17\/5, 0.3, 0.25, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001386 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1409 = -191*r + 33*r - 276, 2*j + 18 = -0*j for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 11*d - 3*d + 0*d as k*d + l and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -3*(-4)\/2. Let s(u) be the third derivative of u**5\/20 - u**4\/8 - u**3\/6 - u**2. Is s(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, -42\/13, -0.5.\nAnswer: -4, -42\/13, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21871346 to 3 dps.\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8566d - 4?\nAnswer: 85669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61380 and 187209?\nAnswer: 3744180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227825 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -28*l**2 - 2662*l - 278. What is k(-95)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1456\/10 + 82\/205. Suppose h = 4*u - 414. What is the greatest common factor of 56 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51844389 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10816*j**4*y**2 + 3*j**2*y**3 - j*y**2 + 3*j*y - 4*j + 531*y**3 + 1 wrt j?\nAnswer: -129792*j**2*y**2 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 9. Let p(a) = 3*a**2 + 3*a + 66. Let i(o) = 6*g(o) - p(o). Suppose -2*v - 15 = -3*d - v, v + 10 = 2*d. Does 12 divide i(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -714 + 3572\/5. Let a(b) be the first derivative of x*b**3 + 2\/5*b**2 + 0*b - 4 + 1\/10*b**4. Factor a(g).\nAnswer: 2*g*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.25, 2\/69, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r - 5*r**2 - 5*r**2 + 17*r**2 - 5*r**2.\nAnswer: 2*r**2 - 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknpepepepeknkn. Give prob of sequence ppk.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 p, and 1 c when four letters picked without replacement from cttttcttttctpcctcc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 385800387.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 0*u**2 + 76\/5*u**5 + 0*u**4 - 97*u + 0*u**3 - 165. Differentiate q(k) wrt k.\nAnswer: 304*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3763741627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t + 10. Let b(v) = v + 1. Calculate -6*b(l) - z(l).\nAnswer: l - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*c - 78, -c = -0*a + 4*a + 22. Let g(k) = 6*k - 10. Let x be g(4). Let b = c + x. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77781924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -282, -1249, -2864, -5127, -8038?\n\"Answer: -324*n**2 + 5*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 1488?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {q: 9, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -465*m + 4195. Let l be k(9). Calculate the greatest common factor of 118 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n + 94*n - 25*n - 16*n**2 - 26*n.\nAnswer: -16*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5738583361.\nAnswer: 7, 43, 19065061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.6 (b) 2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 55*v**2 + 1160*v - 1100.\nAnswer: -5*(v - 10)*(v - 1)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -20, 3*n + 3*m - 6 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 137 = -83. Let j be -2*39\/108 - (-6)\/z. Let l = 196 + -2938\/15. Which is the nearest to 2\/5? (a) l (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531991 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*r + 0*r + 18 = 0, -5*l = -5*r + 15. Suppose 0 = -c + 2*c - 3. Let s = c + l. Calculate the remainder when 9 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252.2587m to nanometers.\nAnswer: 252258700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + ((1*sqrt(420))\/sqrt(12) + sqrt(35))\/((sqrt(320) + sqrt(5))*-4))**2.\nAnswer: -4*sqrt(7)\/9 + 6487\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4909 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 4*z - z + 3*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c2 (base 14) to base 16.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 193*v**2 + 105*v + 864. Calculate g(-96).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7112 and 531368.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**4 - 1\/120*c**6 + 237*c + 0 + 0*c**2 - 1\/16*c**5 + 0*c**3. Let w(s) = 0. Calculate s.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88424 is divided by 218.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133558056 divided by -12.\nAnswer: -11129838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -2, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.332 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, -6, 1\/14, 0.03 in descending order.\nAnswer: 1\/14, 0.03, -2\/23, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, r: 2, b: 7}. What is prob of sequence rbbm?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, 1, -0.2, 22, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9109.002l?\nAnswer: 9109002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23140)\/104*(0 + 0 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2 = -3*w, 6*w + z - 6 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181 minus -0.2?\nAnswer: 3181.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/344 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 597, 1146, 1695?\nAnswer: 2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, -113, -239, -415, -641, -917?\n\"Answer: -25*u**2 - u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p + 30. Let s be t(12). Let y = -88 - s. Solve -l + 5*v = 8, 5*l + 5*v - y = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1224870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 85*h + 65. Let p(b) = -42*b - 33. Let k(s) = -6*n(s) - 13*p(s). Let u be k(-11). What is the common denominator of 5\/6 and ((-7)\/u)\/((-4)\/(-282))?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 0.031, 0.04, -1\/3 in descending order.\nAnswer: 0.1, 0.04, 0.031, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 148 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3332 at most as big as -3333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2154\/(-10770) - 27\/(-160).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2190 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31\/6 - -23\/6. Which is the smallest value? (a) 1.7 (b) -4 (c) r (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8400*v**2 - 128666 wrt v.\nAnswer: 16800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, u: 1, w: 1, s: 2, p: 1, y: 2}. Give prob of sequence sbpw.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 2.08. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 1. Let g be s(-1). Suppose 0 = g*q - 39 + 1. Calculate the remainder when 37 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -163256 + -2?\nAnswer: -163258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.4 + -70. Let z = -80.28 + 80. Let l = z - -0.18. What is the second biggest value in l, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 30*t**3 + 10*t**2. Let h(m) = m**2 + 3*m**2 - 5*m**2. Let d(g) = 2*h(g) + q(g). Find the third derivative of d(f) wrt f.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((3\/(-9))\/(1\/(-3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 25*t**2 - 32*t - 57. Let a be f(-24). What is the highest common divisor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 10*c + 3. Let k be p(-5). Let l be (15\/k)\/(-4 + 5 - 2). Let w(f) = f**3 + 4*f**2 - 7*f - 5. Calculate w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-112)\/(-36))\/(70\/126)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**6\/135 + 7*o**5\/45 - 29*o**4\/54 - 104*o**3\/27 - 20*o**2\/3 - 1508*o. Let w(h) = 0. Calculate h.\nAnswer: -1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -27*d**2 + 301*d - 554. Let y(n) = 24*n**2 - 297*n + 552. Let v(t) = 9*x(t) + 10*y(t). Factor v(f).\nAnswer: -3*(f - 2)*(f + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3602526t to nanograms.\nAnswer: 360252600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 3, y: 4, g: 1, v: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10100?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x + 1. Let z(a) = a + 10. Determine p(f) + z(f).\nAnswer: 5*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 19) + (3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -44, -0.02, -5, -1\/4, -2\/9?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32085960 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/18 - 13*v**3\/6 - 26*v**2. Let h(r) be the first derivative of n(r). Let q(w) = 4*w**2. What is h(q(m))?\nAnswer: 320*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22330043 (base 7) to base 15.\nAnswer: -284c5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 1\/6, -0.3, 0.99.\nAnswer: -0.3, 1\/6, 0.99, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 37 = s, i + i + 167 = 5*s. Let t = 34 + s. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.29 times 4.2?\nAnswer: -39.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/11, -2\/7, 4\/7, -0.1 in increasing order.\nAnswer: -2\/7, -3\/11, -0.1, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 1\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/1260)\/(58\/(-203)*4\/(80\/(-12)))?\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142030*j + 141986*j + 10 - 462*j**3 + 930*j**3 + 3527*j**3 wrt j?\nAnswer: 23970*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/20 + 3*c**2\/2 - 318*c. Let s(k) = -k**3 - 1. Suppose -1 = 3*u - 4. Suppose -13 = 4*t - u. Give t*s(j) - x(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -103.79798?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-30) - 3\/15. Let v = 9 - 7. Suppose v*o + 3 = -1. Sort k, -13, o.\nAnswer: -13, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + 1 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**3 + 7*l - 30. Let b(r) = -2 + 0 + 5 - r - 4 - r**3. Let v(a) = -2*b(a) - g(a). Differentiate v(i) with respect to i.\nAnswer: 33*i**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 161*p**2 - 6*p - 7. Let u(c) = 10*c. Calculate u(q(l)).\nAnswer: 1610*l**2 - 60*l - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 59, 94, 145, 212, 295?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + 1 + sqrt(8) - sqrt(40)\/(sqrt(10)\/sqrt(2)))**2.\nAnswer: 48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (56 - 18) + -49?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 1\/20*d**5 + 33 + d**2 + 33*d + 5\/6*d**3 - 5\/12*d**4. Let q(j) be the first derivative of o(j). Determine q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d*d**1)**(-21))**(-13\/4))**(4\/13) assuming d is positive.\nAnswer: d**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8997.\nAnswer: 3, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 2) + 12 + 5. Suppose -4*k - v = 0, k + 4 = 2*s - 21. Suppose s + 14 = c. What is the remainder when 94 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + 23*o**2 + 4*o + 129. Let x(a) = -5*a**3 + 24*a**2 + 134. Let s(n) = 4*p(n) - 3*x(n). Determine s(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - 3*d**3 - 5*d**3)*(-1 + 1 + 2*d)*(114 - 31 + 35) as z*d**2 + w*d**4 + i + j*d**3 + x*d and give w.\nAnswer: -1652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/(-15)*10\/(-2). Suppose -120 = -2*k + p. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((2 - 1) + -1) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 242661 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0*y**3 - 2*y + 5*y**2 + 0*y**4 + 0 + 0*y**5 + 19\/30*y**6. What is the derivative of h(m) wrt m?\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 742 - 727. What is the lowest common multiple of 36 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - 1. Let o = w + 14. Let k(i) = 24*i + 7. Is k(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:06 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6763 times -0.17?\nAnswer: 1149.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:28 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 5*v. Let p(f) = -2*f - 1. Let u be p(-3). Let o(c) = c**2 + 2*c. Let q(h) = u*o(h) + 2*g(h). Let d(y) = 3*y + 0*y + 0*y. Determine q(d(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10749746507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wki when three letters picked without replacement from {w: 1, i: 5, k: 5}.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 7*r + 37*r)*((0 + 4 - 2)*(2 - 2 - r) - 4*r + 3 - 3)*(6*r - r - 2*r).\nAnswer: -522*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -4*y**3\/3 + 186*y**2\/5 + 152*y\/5 + 230. Factor d(m).\nAnswer: -4*(m - 19)*(5*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42383 < -42383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(2\/(6\/(-9))). Suppose -b + 156 = -0*p + 3*p, -104 = -a*p - 2*b. Calculate the remainder when 256 is divided by p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1828, 6589, 14518, 25615, 39880, 57313, 77914?\nAnswer: 101683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -44. Suppose 0*g = -5*g + o. Let i be 3*g\/((-14)\/(-12)). Solve 0 = 4*c - 4*l - 20, -i = 2*c + 2*l + 3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**2\/2 - 1. Suppose 10*h = 588 + 7802. Let k = h + -838. What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -3 (c) 7122 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Suppose -i - 2 = -b. Solve -2*l - 15 = -3*r, -l - 10 = -i*r + 4*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9096341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04200027 + -0.042. What is l rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 10*s + 4. What is the remainder when m(4) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 3781894525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8*3*680\/(-102). Solve m - k = -3*d, -3*d + 47*m + 2 = 52*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -3054 (b) 11 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*k - 62*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 298*k**2 + 4372*k - 1242. What is o(312)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*q = -q + 22, 0 = -5*o - 5*q + 30. Suppose -o*d + r + 18 = 0, 2 = -3*r - 10. Calculate the remainder when 11 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 427*n**2 + 0*n - 40 + 44 + 45 - 50 as u + b*n + w*n**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5 + 1. Suppose -a - 14 = -4*d + u*a, 2 = 2*d + a. Let g = d - -1. Solve 2 = g*l + 2*y, -3 = -2*y - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2 and 33\/262.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/35)\/((-10)\/(-25)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p - 39 = -72*p. Suppose -604 = -8*d + 5*f, -2*d + 5*f + 123 = -p. Calculate the highest common factor of 390 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*j + 16*j + 44*j + 372*j.\nAnswer: 528*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 7. Let l be v(-5). Let a(z) = -z**2 - 3*z**3 + 0*z**3 - 4*z**l + 0*z**2. Suppose -2*s = -2*m + s + 4, -2*m - s = 4. Calculate a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = k - 3*k + 18, 11 = k - 1709*n + 1710*n + 2 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (1 + 0) - (54 - (43 + 1))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26 - (2 + -1)) + -3. Let t = -4 + o. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523718863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.932 - -0.068. Which is the second biggest value? (a) 0 (b) 1\/6 (c) g (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 68*q**2 - 6*q + 410. Let v be r(68). Which is the closest to 0.3? (a) -0.5 (b) -2\/11 (c) v (d) 0.81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = 5*f - 922, -2*f = q - 229. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from cczcczczccczzzczczzc?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13202 + 11001210?\nAnswer: 11021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5930.042 years in months?\nAnswer: 71160.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 316 + 306 = 2*w, 5*w = -3*k - 47 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**3 - k**2 - 64638*k - 1 + 1 + 13*k**3.\nAnswer: 18*k**3 - k**2 - 64638*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 3. Let x be ((-12)\/10)\/(5\/(-50)). Suppose -4*w + 8 = -x. Calculate the remainder when v(-5) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8161*v + 171387. What is y(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -124, 51, -1, 4 in decreasing order.\nAnswer: 51, 6, 4, 1, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0577860028 to 6 dps.\nAnswer: 0.057786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 4. Suppose -11 = 3*m - 2. Let y be -7 + 0\/m - -3. Give k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183182 is divided by 1510.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/7*5\/(-30)*21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 16. Let b be n(-9). Let l = 6 - b. Sort 0, l, -1.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 2)*(12 - 8 - 8 + 328*j + 4) to the form s*j + o and give s.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, 58 in ascending order.\nAnswer: -2, 0, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(380)\/(sqrt(20)\/sqrt(2)))\/sqrt(450).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 + 0.8. Let j = 4.04 - q. Let w = 0.04014 - j. Round w to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/7 - 408*q**3\/7 - 17058*q**2\/7 - 216648*q\/7 - 845883\/7 = 0. What is q?\nAnswer: -59, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 801631323 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 + 215. Let w = v + -34. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-64)*24\/45.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -143.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19950, 40120, 60280, 80424, 100546, 120640, 140700?\n\"Answer: -x**3 + x**2 + 20174*x - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118213?\nAnswer: 118213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.475 or -2\/753?\nAnswer: -2\/753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 69 = f - 67, -39*f + 9*u = -35*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x + 3*d + 823 = 0, -2*x + 1737*d - 1740*d = -32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2097*h + 2097*h - 13*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5757, -6191, -6625, -7059, -7493, -7927?\n\"Answer: -434*v - 5323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + -201 + 229 + -15?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -6.8766159.\nAnswer: 15.1233841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2*((-400632)\/(-112) - (93\/(-21) + 5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 11*t**2 + 2*t + 27. Let f be l(-11). Find the third derivative of 11*y**4 + 6*y**5 - 21*y**f - 5*y**6 - 11*y**4 + 87*y**2 + 3*y**6 wrt y.\nAnswer: -240*y**3 - 900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -3*b = 3 - 9. Let a be 7\/z + b\/(-6). Solve -u + 5*w - 18 + 5 = 0, a*u - 2*w = -10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4, 1 in descending order.\nAnswer: 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -28. What is the nearest to 1 in 0.3, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 175. Let w = 21 - 19. Suppose 2*o + l = 56, 3*l - 10 = -w*l. Calculate the remainder when o is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3120 = -3*l + 7*l. Let r = -17930\/23 - l. Which is the smallest value? (a) r (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rre when three letters picked without replacement from {e: 5, r: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 4335?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 495*f - 490*f - 14635. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484372544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16377 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-12)*55*4. Suppose -5*q - 4*i = -3*i - s, 5*i + 165 = 5*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1703909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 538, 348, 158?\n\"Answer: -190*k + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/10*82\/(-3). Let n = -84 + z. What is the second derivative of -9*y + 2*y + y**4 + 39 - n wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26214?\nAnswer: 2, 3, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2190310 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 51 = -3*l + 2*l, -78 = -3*v - 2*l. Suppose -1 = -4*n - 17, s = n + v. Suppose 36 + s = 4*o. What is the remainder when 68 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + w**2 + w + 3. Let h be r(0). Solve 3*i = 3*t + 7 + 17, h*t + 29 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001207041013 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -d - 5*m, 0 = -d - 71*m + 68*m + 473. What is the remainder when d is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 46 = -4*o, -3*o - 26 = 3*d - 98. Let i(p) = p**2 - 33*p. Let b be i(29). Let h = -113 - b. Solve 2*q + d = -h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 9*y = -7*y. Factor 0*p + y - 2\/9*p**2.\nAnswer: -2*p**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15))**(-13)*(c\/(c\/(c\/(c\/(c*c**(1\/4))))))**(-2\/77) assuming c is positive.\nAnswer: c**(-4079\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -125913 * 678\nAnswer: -85369014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12190 + 12114 - (-18 - -1)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(98) + (sqrt(98) - (sqrt(98) - sqrt(98)*-1))**2 + sqrt(98) - (sqrt(2) + sqrt(2) + 1)*-5) + sqrt(16)\/(2*(sqrt(8) - sqrt(128))) + -3.\nAnswer: 143*sqrt(2)\/6 + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2134, 4255, 6318, 8281, 10102, 11739, 13150, 14293?\nAnswer: 15126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 9*l**2 - 2*l + 14. Determine h(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16758 + 143855. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(765\/1200) + 35 + (-1 - -11).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + 9 + (-32 - (-10 - 8)) + -48.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:40 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2. Let l = -9 + 11. Let b(p) = 7*p + l*p - 7*p. Determine b(j(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12538 - 12533. Let l(n) = -17*n + 90. Calculate l(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3469.\nAnswer: 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -2\/5, -136587?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 4:13 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -9, 4, 2, 5, 28, -2 in ascending order.\nAnswer: -16, -9, -2, 2, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3735703 - -5?\nAnswer: -3735676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-36) - (-26)\/6. Suppose -w*g + 10 = -5. Let l = 12 + -11. Which is the third smallest value? (a) -0.4 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159116.\nAnswer: 2, 39779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28626, -29557, -31110, -33285, -36082?\n\"Answer: -311*p**2 + 2*p - 28317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(192) + (sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192)*2)*4))\/(sqrt(44)\/(sqrt(99)*-1 + sqrt(11))))**2.\nAnswer: 3048192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Find the second derivative of 0*s + s**4 + 2*s - 5*s**h wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6915506 less than 549503?\nAnswer: -6366003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1862 or 1860?\nAnswer: 1862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*((f\/(f\/((f*(f\/(f\/(f\/(f\/f**0))))\/f*f)\/f)))\/f)\/f*f)\/f)\/f*(f\/((f\/((f**24*f)\/f*f*f))\/f))\/f)\/(f**(-31)*f)**(-27))**3 assuming f is positive.\nAnswer: f**(-2355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 1. Let y be g(2). Let m be (y\/(3\/51))\/1. Suppose 4*i - 36 = -2*r, 3*i = 3*r - m - 55. Calculate the smallest common multiple of r and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2\/8 - 93993*s\/8 + 93999\/4 = 0?\nAnswer: -31333, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -32*r + 31*r - n, 4*r + n - 68 = 0. Solve 5*t + 45 - 25 = 0, 5*l + 2*t - r = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 8124*p**2 - 40713*p - 48834.\nAnswer: 3*(p - 6)*(p + 1)*(p + 2713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.5. Let n = -1244 - -18668\/15. Let i = n + -14\/15. Put i, 2\/11, l in ascending order.\nAnswer: l, i, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 6:19 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 14. Let x = -30 + w. Which is the closest to x? (a) 1\/5 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32786 and 7564351?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + z = -199, f = -4*z + 7*z + 207. Let q = f - 195. Factor 0 + 1\/9*m + q*m**4 - 2\/9*m**3 + 1\/9*m**5 + 0*m**2.\nAnswer: m*(m - 1)**2*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 102.\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 3, 1\/65, 1\/4, -0.07, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-3)*(-11 + -12 + (-105)\/(-6) + 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3*f + 0*f)*(2 + 3 - 4) - 4*f + f + 4*f + 2*f + 5*f + 31*f to r*f + h and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 2. Let y be c(3). Suppose y = -f + 3*w, w + 0*w = -f. Calculate the remainder when 17 is divided by f\/(-2) + 1 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194367, -388747, -583141, -777549, -971971, -1166407?\nAnswer: -1360857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -472708\/21 - -22520. Is -2 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3 + 11*x + 19*x - 11*x**2 - 33*x. Let y(c) = 76*c**2 + 20*c - 20. Determine -3*y(o) - 20*z(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 2, -3*q - 5*l = 2. Let s be 4\/(-14) + (-30)\/42. Do s and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m**2 - 44*m + 14. Let p(g) = -7*g**2 - 39*g + 13. Determine -5*d(c) + 6*p(c).\nAnswer: -2*c**2 - 14*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 110?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 97 = 2*i, 2*r = -2*i + 5*i - 113. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d - b = 341, -2*b = -2. Let t = -21 - d. List the prime factors of t.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 + 26*l**3 - 32*l**2 - 24*l + 32 = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6627 = 25*z - 90827. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Let y = -38 - -44. Solve 0 = -l + k*l + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98.1 - 98. Which is the closest to -1\/4? (a) 13 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -30*t - 6*t**2 + 59*t - 25*t + 4. Let r(f) = f**2 - f - 1. Let v(y) = d(y) + 4*r(y). Let i(b) be the first derivative of 44*b**3\/3 + 2. Give i(v(p)).\nAnswer: 176*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - 8 - -5 - 8. What is the units digit of 288*8*-4*a\/60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4294328, 4294351, 4294372, 4294391, 4294408, 4294423?\nAnswer: 4294436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.002 and -4.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 4*l - 3. Let y(o) = -o**2 - 3*o - 2. What is 4*j(s) - 6*y(s)?\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 46268340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514597322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/28 + 495\/132 + 10598\/2?\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 55959805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 30 = -m. Suppose 2*g - v - m = -3*g, -4*v - 16 = -4*g. Suppose 1740 = -g*n - 3908. What is n rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70831 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 128381, 128261, 128061, 127781, 127421?\n\"Answer: -40*m**2 + 128421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/5 + 759*n**2\/10 - 774*n - 2003. Solve k(a) = 0.\nAnswer: -258, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 4 - 37*a**3 + 3*a**2 + 34*a**3 + 40*a**3 + a**2 as y*a**2 + z + q*a**3 + k*a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 8*g**2 + 13*g - 12. Let y(o) = o + 4. Let s be y(-2). Let w be 9\/2*s\/1. What is the units digit of x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 + 34. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2409*u**5\/5 + 1939*u**3\/3 - 4091. What is the third derivative of j(f) wrt f?\nAnswer: -57816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faxxxxfffxcffcxfcxfc. What is prob of picking 1 f and 1 a?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 1150, 1818, 2540, 3334, 4218, 5210?\nAnswer: 6328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 426 + 524 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let x = 80 - 76. Let w(q) = -q**2 + 12*q - 12. Let r be w(x). Suppose 0*c + 5*c + r = -5*s, 0 = 4*c + 20. What is the highest common factor of s and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175373 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518 (base 12) to base 11.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6310.377 + -5941.4. Let f = -375 + y. Let i = f - -6. Round i to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 30*t**3 + t**2 - 300*t + 389. Differentiate d(h) with respect to h.\nAnswer: 180*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drbr when four letters picked without replacement from brbrdd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let p(c) = 2541*c. Calculate d(p(u)).\nAnswer: 2541*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2581\nAnswer: -3\/2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -320?\nAnswer: -157\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*(-67 + 70)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10377, 10386, 10399, 10416, 10437?\n\"Answer: 2*h**2 + 3*h + 10372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*b + 225*b = 2*x - 8760, -4*x = -5*b - 17580. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5*n**2 - 4. Suppose 0*p = -3*p - 9. Suppose 15 - 131 = 29*w. Let y(q) = -q**3 + 4*q**2 + 4. Give p*x(d) + w*y(d).\nAnswer: d**3 - d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 128 = -4*s, 5*s + 36 + 46 = -3*c. What is the remainder when 2 + 2869\/6 - (-4)\/c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glggggllglg. Give prob of picking 1 l and 1 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, 4, 23, 50?\n\"Answer: 4*c**2 - c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**6*u*u\/((u\/u**(-6))\/u)*(u**(2\/9)\/u*u)\/((u\/(((u\/((u*u**(-2\/7)\/u)\/u))\/u)\/u))\/u*u) assuming u is positive.\nAnswer: u**(95\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -u - 2*u - 7, -u + 11 = 2*x. Suppose j + x*j = 15. Solve 0 = p + j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-1)*-1*(22 + 525)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3)*b*b)**(-20)\/((b**(-3\/5)*b)\/(b\/(b\/(b*b*b\/(b\/b**(-2))*b)))) assuming b is positive.\nAnswer: b**(-791\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -807 + 301. Let z = 516 + y. Put 1.7, z, -4 in descending order.\nAnswer: z, 1.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0, 1, 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003087 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1264245 + -563?\nAnswer: -1265030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29810952?\nAnswer: 2, 3, 233, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5760 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -36\/383?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -20. Let t(s) = 5*s - 6. Let z(n) = n - 1. Let w(d) = j*t(d) + 6*z(d). Let g(b) = b. Give w(g(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a meter in centimeters?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((-1*1*sqrt(76))\/((sqrt(4) - (sqrt(4) + sqrt(4)*-3 + sqrt(4) + sqrt(4)))*5)*5)**2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from {g: 1, l: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 5*u**3 + 0*u**3 - u**3 - 2*u**3 + 4*u**3 + (-2 + 1 + 2)*(u**3 - 2*u**3 + 3*u**3).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 9:33 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y + 0*y - 3 + 4 - 3*y**2. Let u(t) = -t**2 - t - 3. Let z be u(0). Calculate a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 + -0.4. Let i = 1.2 - t. Let q = -0.03 + -0.27. What is the third smallest value in i, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ed (base 15) to base 9\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21599 - 33521651\/1552. What is the common denominator of -13\/96 and a?\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -0.118 (b) -0.4 (c) 5 (d) -87\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 31 - 34) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(4\/9))\/w*w**9*w**6*(w*(w\/w**(2\/43))\/w*w)\/w assuming w is positive.\nAnswer: w**(6002\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4478 - 6?\nAnswer: 4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 65*j + 2 + 29*j**2 - 26*j**2 in the form b*j + q + z*j**2 and give b.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - 4*(sqrt(3) + -1))*5)**2.\nAnswer: -600*sqrt(3) + 1075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 17 = -2*f, 0 = 5*m - 0*f - 2*f - 7. Suppose 0*q - m*q - 345 = 0. Let x = q + 210. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1632.6 - 1632. What is the closest to -2 in s, -1\/4, 12\/19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 3. Let d(k) be the third derivative of -5*k**4\/24 - k**3\/3 - 11*k**2. Calculate -4*d(p) - 3*j(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 15*y**5 - 309*y**4 - 6*y**3 + 13188*y**2 - 7704*y - 5184 = 0.\nAnswer: -6, -2\/5, 1, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.3. Let q = -13.87 - -14. Let s = 0.23 - q. Which is greater: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 1, f: 2, b: 8, x: 2}. What is prob of sequence kfbx?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*24\/32 - 27\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 6*r + 4 = 0. Suppose p = x - 1 + 5, -2*p = -5*x - 20. Sort p, r, -1 in increasing order.\nAnswer: -1, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 12*j. Let f be y(-14). Suppose -8*q - f = -22*q. Differentiate -l**q - 3*l**2 - 10*l**2 + 4 - 26 with respect to l.\nAnswer: -28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-4)\/180*-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 88*d**2 + 464*d + 86. Calculate p(93).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -8.7. Let p = 25.69999586 - v. What is p rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2110, 5, -1, 1 in increasing order.\nAnswer: -7, -1, 1, 5, 2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((8 - 2) + -22)\/(-3 + 1). Suppose -4*h - 4*z = -8, -4*h + 5*z - z = -v. Solve 1 = -3*j + h*c, -3*c + c + 6 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l**2 + 9. Let a(f) = 7*f**2 - 2. Suppose 46*i + 36 = 42*i. What is i*a(y) - 2*b(y)?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -12. Find the second derivative of -y**2 + 2 - y - 3 + t wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 6*y - 1. Let l be r(-5). Suppose 0 = -3*a + l + 5. Let k be 5 + (3 + 0)\/a. Solve -k*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113034675.\nAnswer: 3, 5, 13, 115933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 25 = 7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*c**2*y + 214*c**2 wrt y.\nAnswer: 131*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lulddlddulddduud. What is prob of picking 2 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Suppose k - 18 = 3*k. Let r(c) = c**2 + 6*c - 13. What is the remainder when r(k) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let w(f) be the third derivative of -f**6\/120 - f**5\/60 + f**4\/12 + f**3\/6 + 2*f**2. Is 13 a factor of w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261194.\nAnswer: 2, 73, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/(y**(-2)\/y))**(-35)*(y**2\/(y\/((y*y**(-3)\/y)\/y)))**(2\/159) assuming y is positive.\nAnswer: y**(18548\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o - 54. Give u(1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -57*n + 54*n - 20, 6*n - 5*a + 53 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2 + sqrt(121))*6 + (sqrt(121) - (sqrt(121) - 5*(sqrt(121) - (sqrt(121) + sqrt(121) + sqrt(121)*2)))))\/(sqrt(1584)*3).\nAnswer: -7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 452*q - 3171. Let f be p(7). Let o(g) = 6*g**2 + 5*g + 1. Let i(t) = -2*t**2 - 2*t. Determine f*i(u) - 2*o(u).\nAnswer: 2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 - 11*r + 31. Calculate l(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -124 and 0.119?\nAnswer: 124.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65814 and 1680.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168210 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 6, r: 4, v: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = -37*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26166 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(174\/(-24) - -7). Let w be (1\/2)\/(6\/4). What is the fourth biggest value in w, -3\/4, p, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.158 + 309.158. Let s = l - 309.2. Let a = 19727\/252 - 313\/4. Is s < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604524 = 51*c - 585000. What are the prime factors of c?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -12*t**2 + 2 + 8*t**2 + 2*t + 2*t**2 + t**3. Let n(l) = 15*l + 106. Let g be n(-7). Let b be 304\/(-532)*((-5)\/2 - g). Calculate r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, 0.5, -0.3, -1 in ascending order.\nAnswer: -20, -3, -1, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 546961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 53*s**3 + s**2 + 2*s - 2. Let m be w(1). What is the common denominator of -65\/6 and (-3)\/9 - (-423)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*w + 1393, -3*w = -16*b + 14*b - 1042. Calculate the remainder when w is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*c - 27 = -2*b, 3*c + 34 = 4*b. Let s be (5\/b)\/(1\/7). Solve -3*f - 20 = s*t, -5*t - 5*f = 25 + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - c - 3, 0 = p + 2*c + 3. Let l = 4.978 - 0.978. What is the biggest value in l, 2, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31875 >= -31867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 11*l**2 - 59*l + 22. Let s be u(-15). Let p(t) = -t + 3*t**2 - s*t - 7*t + 6 - t**3 - 3*t + 23*t. Give p(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:39 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 181*w**4\/24 + 113*w**3\/3 - 57*w**2. Find the first derivative of x(c) wrt c.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.05 - 3.05. Put 2\/19, -0.2, s in decreasing order.\nAnswer: 2\/19, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -721\/6 (b) -1 (c) -4 (d) 3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(2 + (2 - 2)). Let h(u) = -u**2 - 9*u + 16. Let k be h(-9). Suppose 20*i - 24*i = -k. Solve 0 = -2*x - 2*m + r, -3*x = -i*m - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 + -143. Let m be (-1)\/1*j\/(-12)*-52. Let n = 312 + m. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 11, x: 1}. What is prob of picking 1 o and 1 q?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1 + 2 + 4 - 2. Let t(a) = a**2 + 4. Suppose 2*o = -3*o - 20. Calculate o*m(w) + 3*t(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(63)) + 1 + 0.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*w + 8 = 0, 6 = -w + 2. Let i(x) = x + 1. Let z be i(-6). Sort 1, z, s in increasing order.\nAnswer: z, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1028db (base 14) to base 12.\nAnswer: 223529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {l: 1, y: 2, a: 2, g: 1, i: 2, f: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913186.\nAnswer: 2, 563, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1425364123?\nAnswer: 1425364116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249067 is divided by 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 679, 681, 683, 685, 687, 689?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxajttatttttttttaa. What is prob of picking 2 t and 1 a?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1322 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -17 - (-20 - -23)) + -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.4. Let p be (-1)\/4 - (-74)\/8. Let q be (0 + 1)\/(3\/p). Which is the second smallest value? (a) 0.1 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 7. What is x(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 3.9. Let q = -14.67 + 0.07. Let z = q - -15. What is the nearest to 0.6 in f, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.75 + 0.32. Let n = m + -0.07. Which is the nearest to -0.1? (a) 5 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46806\/(-807) + (-3724)\/(-63).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/5))**(2\/13))**(3\/49) assuming k is positive.\nAnswer: k**(24\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 158.303. Let b = 4.697 - z. Sort b, 0.26, 1\/2 in descending order.\nAnswer: b, 1\/2, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.0054?\nAnswer: 3.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from pppppdplpplllldp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x. Let v(n) be the second derivative of -7*n**4\/6 - 7*n. Give v(m(k)).\nAnswer: -350*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23137193459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/823460 and -27\/123125.\nAnswer: 102932500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01874984 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 43. Let a be 0\/(0\/u + -3). Suppose 5*x + x = a. Solve -5*m - 4*h - 2 + 9 = 0, x = 5*h + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001433 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 310?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - w + 186 = -0*w, 4*w = -5*z + 303. Suppose 7*o - 226 = -79. What is the highest common factor of z and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:41 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/x**(-5)))\/(x\/x**(-2\/11)))\/(x\/x**(-1))**(22\/9))**(10\/7) assuming x is positive.\nAnswer: x**(-11950\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 27*a + 28*a - 7439 = 0, -4*b + 5947 = 5*a. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 318973749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 0*d + d + 7, 0 = 2*l - 3*d + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -126, -467, -1016, -1773, -2738, -3911, -5292?\n\"Answer: -104*a**2 - 29*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5607 and 2520.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 3.4 (c) 1 (d) -933 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357317 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:42 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 take away -479734132.208?\nAnswer: 479733728.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 38 + 26 = 0. Factor -8*f**4 + 14*f**w + 6*f - 4*f**2 - 2 - 4*f**3 + 0*f**2 - 2*f**5.\nAnswer: -2*(f - 1)**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 18*v - 190. Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80 + 29 + 53)*5\/14.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffjfjf. Give prob of sequence fjjf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 22*g - 17. Let d(z) = -2*z**2 + 52*z - 30. Let c be d(25). Let x be w(c). Suppose -5*s + x*s - 342 = 0. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6823 - -3053. What is i rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182990845504 + -1148\nAnswer: -182990846652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/2 - 1635*i**3\/2 - 165726*i**2 - 14830152*i - 494768928.\nAnswer: -3*(i + 124)**3*(i + 173)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -98*y. Let c(u) = 465*u**2. Determine h(c(n)).\nAnswer: -45570*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yvvvvvyvvyyvy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -55, -83?\n\"Answer: -28*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -28. Let n be 17\/5 + (-8)\/p. Suppose -n*c - 2*c = -15. Solve -x = 2*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82071537 + 17971537. Round a to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41129 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 + 25 = 0. Let m = -5 - i. Let a = 0.03 + 0.07. What is the second smallest value in m, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2581.456 - -2531.45554. Let w = 3.8 + 46.2. Let t = a + w. What is t rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-36))\/(-1*4\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 - 10*n + 23*n - 13*n.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53729, 53737, 53745?\n\"Answer: 8*w + 53721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-10) + -3)*5. What is the smallest common multiple of (-5 - s)\/(57\/18 + -3) and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a minute in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 53*i**2 - 24*i - 105. What is k(-4)?\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.3596 micrograms to milligrams.\nAnswer: 0.6523596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - q + 207 - 28 = 0, -173 = -4*k + q. Let a = k + -32. Solve d + 2*d - a = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 207*r - 112*r - 128 - 99*r.\nAnswer: -4*r - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-17325)\/440 - (-6)\/16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/(2\/12). Let l be (8\/(-2))\/t*-8. Let a(h) = -h + 15. Let k be a(11). Solve -4*n = -4*o, -l*n + 3*n = k*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -11, -14, -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - 12 = 4*q, 2*r = -q - 8. Which is the closest to 13\/7? (a) -4 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 divided by -1348?\nAnswer: 293\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1075 = v, n - 365 = v - 3*v. What is the highest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:11 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 462397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. What is the highest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04865 + 15\nAnswer: 15.04865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.2 (b) 2\/5 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4 - 37*u**3 + 6*u**2 + 1512*u = 0.\nAnswer: -36, -7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -58, -77, -102, -133?\n\"Answer: -3*o**2 - 4*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364112 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:25 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6751 + 16*g**3 + 0*g**2 - 6752 + 0*g**2. Calculate m(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 8*c**2 + 3*c**2 + (5*c**2 - 5*c**2 - 4*c**2)*(3 - 2 + 2) to s + y*c**2 + d*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, 1\/11, 0.1, -16, 48?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -429 - -432. Solve q - 12 = -f*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -19. Let g = f - 16. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lclc when four letters picked without replacement from llclcll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44120.3 tonnes in nanograms?\nAnswer: 44120300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - -22 - ((-16)\/4)\/4. Solve -w = -26*q - 26 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44943 minus 124.7?\nAnswer: -45067.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus -235.158326863?\nAnswer: 235.238326863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 108, 14 in decreasing order.\nAnswer: 108, 14, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 - 89*f - 3. Let w(b) = -6*b**2 + 91*b + 4. Calculate -3*w(d) - 4*x(d).\nAnswer: -2*d**2 + 83*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 264*o**2 - o - 3. Let d(x) = -x**3 + 5*x**2 + x - 1. Give 3*d(t) - n(t).\nAnswer: -t**3 - 249*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v - 6. Let x be c(5). Suppose -t - 5*j = 9, -2*t + x = 2*t - 5*j. Let p be (600\/(-81))\/4 - (-8 + t). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24525 * -1.91.\nAnswer: -46842.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67342 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + 6. Let y = 15 - 8. Let v = y - s. Which is the closest to 0? (a) -5 (b) v (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12*-6)\/(9\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o - 63*o + 7*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 3*o - 45, -2*x - 542*o = -545*o + 45 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*r - 11 = 0, -r = 5*i - 5*r - 19. Suppose 0 = -4*c - 4*j - 40, -c + i*j + 2 = -2*j. Let p be (-46)\/(-14) + c\/28. Sort p, -5, 5.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-627 - 22*r + 627)*(8*r - r - 6*r + 59*r**3).\nAnswer: -1298*r**4 - 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-3)\/2)*(-12 - -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -144.888.\nAnswer: -144.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 24. Let u be 92\/o - (-2)\/(-8). What are the prime factors of u\/4*(-400)\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*l - 275*l + 1 + 10 - 11 + 611*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 12*y - 12. Let j be b(10). Suppose 3*g - j*g = -5. Is -3 - 52\/(-39)*(610 - g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27806*m**3 + 49*m**2 - 172 wrt m.\nAnswer: 166836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512903678 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**3 + 17*y**2 + 9*y + 28. What is the units digit of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3 + 62160*t**2 + 435348*t - 497504 = 0. What is t?\nAnswer: -8, 1, 15547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113404?\nAnswer: 2, 37, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2870 and 39363?\nAnswer: -112971810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2112 and 1023.\nAnswer: 65472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*d = 0, -d - 105656 = -v - 105642 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -21. Let s = -79 + 88. Suppose 4*p - 40 = -4*y, 3*p - 29 = -y - s. Solve 4*h - 10 = -a*o, -4*h + p*o = -2*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 604\/30 + (-6)\/45. Suppose -4*a + b = -w - w, 5*a + w - 32 = 0. Solve a*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22153758 divided by -11076879\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9522901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1463*t - 41. What is the units digit of m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2676\/4014)\/((-97)\/3)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, c: 1, m: 3, i: 4, g: 1, j: 2}. What is prob of sequence imgd?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 + k**2 + k. Let i(f) = 11*f**3 + 32*f**2 + 34*f + 26. Let v(r) = i(r) - 3*j(r). What is the remainder when v(30) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(13\/(-26))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2 - 4451*g - 294 wrt g?\nAnswer: 2*g - 4451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 502, 473, 422, 343, 230, 77?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 673507275*k**3 - 1137*k**2 + 3974.\nAnswer: 4041043650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05908862 - 19175?\nAnswer: -19175.05908862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2293*w + 581003 = 2215*w + 2994*w - 146691 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/(j*j**(-2\/25)*j)))*j\/(j*j**(-7)*j)*(j**(-2))**34)\/(j\/j**(-8)*j**7*(j**(2\/7))**(-5\/7)) assuming j is positive.\nAnswer: j**(-95202\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*w - 0*w - 23348. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o**5\/5 - 218*o**4 - 3326*o - 295. Differentiate g(n) wrt n.\nAnswer: -8*n**3 - 2616*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648400 divided by -2.\nAnswer: 324200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o - 40. Let i be p(-6). Let y(x) = x + 8. Is y(i) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 4. Let p = 143 + -137. Let w(n) = 14*n + 11. What is p*w(h) - 17*g(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5249)\/957 + ((-4)\/55)\/(10\/25). What is the third biggest value in 0.2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 19*n + 20. Let y be g(18). Let v be (-4)\/(-2 + y + 2). What is the third smallest value in -0.5, 0.5, 2, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j - 36. Let c be s(-11). Let t be ((-83)\/3 + -1)*-3. Is c >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-15 - (10 + -9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 27*t**2 + 28*t - 4. Let w be y(28). Let z be w\/22 - (-3330)\/407. What is the highest common divisor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 18 - 18 + (-2 + 2 + 2*a)*(-1 - 2 + 2) + 4*a + 0*a + 0*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tvt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - i - 2*i + (5*i - 3*i + 3*i)*(3 - 1 + 3) in the form k*i + x and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*y + 33 = 0, 0 = v - 2*v - 3*y + 19. Suppose v*s - s = q - 385, 2*q - 3*s - 785 = 0. Suppose 12*m - 17*m = -q. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6797, -13603, -20413, -27227?\nAnswer: -34045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 - 19*u**2 - 10*u - 15. Give i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 - 5*d**3\/3 + 5*d**2\/2 + 3*d - 1. Let n(w) = 2*w**2 - 16*w - 14. Let r be n(9). Calculate s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 8*g - 399. Let p = g - 92. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (0 + 4)*130148. Suppose -q = -4*k - k. Suppose -2*u = -k + 1684119. Round u to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-24))\/(11\/(-352)*6))\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11615 minus -0.2?\nAnswer: -11614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 12 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let l be (-4*1 - -2)\/k. Differentiate 7 - s**4 - l - 8 wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, j: 3, w: 3, z: 2}. Give prob of picking 1 l and 1 j.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 2. Let f(p) = 41 - 42 + 62*p - 61*p. Give f(c) + z(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/7 - 2850*d**2\/7 - 949791*d\/7 + 272994 = 0. What is d?\nAnswer: -263, 2, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 3*x + 2*x - 4*x + 293 - 147.\nAnswer: x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = -1296. Suppose -2*i = -u + 102, -3*u + 0*u - 3*i + v = 0. Is 17 a factor of (-4 + u)\/((-6)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 + -125. Suppose -4*z - 8 = -2*g - 34, l = 3*z - 4*g. Solve 4*q - z = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252907 divided by 34.\nAnswer: 252907\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(5) + sqrt(50)\/sqrt(1000) + sqrt(5)).\nAnswer: 10*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1981b + 68?\nAnswer: 19885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v**(-1\/12)*v*v**(-1\/3))\/(v*((v*v\/(v\/v**0))\/v)\/v)**(-22))**(-2\/37))**(5\/8) assuming v is positive.\nAnswer: v**(-215\/1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610 divided by 10.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 23.2855?\nAnswer: 23.2855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*q - 93779 = -147*q - 145*q. What are the prime factors of q?\nAnswer: 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1947 - -19491\/10. Let o = p + -149\/90. Let y = -5689\/685 - 13\/137. Find the common denominator of y and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4687 * -0.59\nAnswer: 0.276533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (14 - (-176)\/(-16)))*(-119)\/(-21)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 260*j + 1 - 521*j + 251*j. Let x(g) = -g. Give 2*x(i) - y(i).\nAnswer: 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-15)\/q*q\/(q*q**(-6)) assuming q is positive.\nAnswer: q**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**0\/w))**(-46)\/(w*w*w**(-1\/2)*w)**(6\/19))**(1\/53) assuming w is positive.\nAnswer: w**(-1763\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7 - 0) + (0 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18615447.7219476 - 18615453. Let r = m - -5.97805. Let o = r - 0.7. Round o to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*l - 47 = 0, 0 = a + 5*l + 4 + 10. Let x be 482\/4 - 1\/(-2). Calculate the greatest common factor of x and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/(j\/(j*((j\/(j*j\/j**(-1)*j))\/j)\/j*j*j)) assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 42 - 71*a as m*a + i and give m.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121708 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.37 - 2.412. Let y = j - 2.33. What is y rounded to 2 decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (424\/371)\/((-398)\/34825)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109203875, 218407751, 327611627, 436815503, 546019379?\n\"Answer: 109203876*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffgnfnffgfn. Give prob of sequence gfnf.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000011010111100100 + 101?\nAnswer: 110000011010111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15c - ab7d3?\nAnswer: -ab92f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/78)\/((-15)\/60). Let l = v - -6\/13. Let p = 2 - -3. What is the third smallest value in l, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let w = -40 - -90. Let a be ((-6)\/15)\/((-2)\/w). Let p(k) = 3*k**2 + 0*k**2 + a*k**2. What is i(p(y))?\nAnswer: 338*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 203 - 197 = -295 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 2*l - 4*l**2 + l - 2*l**2 in the form n + u*l**2 + p*l and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -1\/7 (c) 14.555438\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 102231 (base 4) to base 16\nAnswer: 4ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-14))\/o)\/(o\/(o\/o**(-2\/33)))*o\/((o\/(o*o*o\/((o\/(o\/(o**(-4\/11)*o)*o)*o)\/o)*o*o)*o)\/o)*o*o**(-4) assuming o is positive.\nAnswer: o**(-382\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 70.99999899. Round m to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 41, 99, 211, 395, 669?\n\"Answer: 3*f**3 + f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.9 + -32.9. Let k = 8.3 + -8. Sort -0.5, k, y in ascending order.\nAnswer: -0.5, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + -3 + 4 + ((sqrt(147) - (sqrt(147) + -1*sqrt(147))) + -5 - ((1*sqrt(147) - sqrt(147))*-1 + sqrt(147))) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - b + 105 = -0*b, 2*b = 0. What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2863\/15 + 191. Let u = -2.7 + -2.3. Let z = 0.2 - -0.2. Which is the closest to 1? (a) z (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 277 + 269 - t - 489 + t - 6*t. Calculate p(18).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -5. Let l be (-5)\/(r\/4)*25. Solve -l = -x + 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b + 3. Let k be q(2). Calculate the greatest common divisor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21478*c**3 + 11*c**2*h*n - c**2*h + c*h*n - 2127*c - 20*h wrt c?\nAnswer: -128868*c + 22*h*n - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*z - 29*d**3*z**3 - d**3*z + 74*d**2*z**3 - 2*d**2*z wrt d.\nAnswer: -48*d*z - 174*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3837.82 + 3890. Let k = v - 4.6. Let c = -47 + k. Round c to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17887 divided by -4?\nAnswer: -17887\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-15)*f**(-1\/4)\/f*(f**(6\/5)*f)**(3\/10) assuming f is positive.\nAnswer: f**(-1559\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10275*c**2. Let r(u) = -2*u. What is j(r(w))?\nAnswer: 41100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 17*n - 30. Let p be t(15). Let g(f) = 10*f - 41 + 91 + p*f. Let m be g(-11). What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2789 - -2.7211. What is the second smallest value in b, 4\/7, -3, -1015?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1199493 millilitres?\nAnswer: 0.0001199493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-3))\/(0 - -1). Let p be 3\/4*4*-1. Put y, p, 3 in decreasing order.\nAnswer: 3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*v - 3*y, 56359*y - 56358*y = v + v + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9181 - -9197. Let a(c) = -c**2 + 13*c - 34. Determine a(p).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - 14\/8 - -2) + 145750\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3302)\/130*(-560)\/112.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*i + 926961 = -1147807. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from eeejjeeljjeee.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2*m**(-1\/2)*m**(-5)\/(m\/(m\/m**4*m)) assuming m is positive.\nAnswer: m**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 20. Let p = b - 19. Let a = 2 + 1. What is the remainder when a is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3*o - 110*j**3 + 118*j**2*o + 23*j**2 + 3*j*o wrt o?\nAnswer: 8*j**3 + 118*j**2 + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (0 - -1) - (237 - 252)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*1*7\/21. Let z(a) be the first derivative of 0*a - g + a**2 - 1\/3*a**3. Factor z(j).\nAnswer: -j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455278 divided by 7?\nAnswer: 350754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 20.752552832225.\nAnswer: -23.752552832225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 3, z: 1, v: 3, o: 2, u: 3}. What is prob of sequence vukz?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 126*b - 472.\nAnswer: -2*(b + 4)*(b + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/5)*w*w*w**(1\/8)*w)\/(((w\/(w**2*w*w)*w)\/w)\/(w**(-1)\/w)) assuming w is positive.\nAnswer: w**(221\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-6*sqrt(100)).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112587, 112669, 112751, 112833?\nAnswer: 112915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 554 + -700. Let g = x + 141. What is the third smallest value in 3, -3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006731654 to the nearest integer?\nAnswer: 44797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 24 = -42*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24862 - 1077 + 28209 = 2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1461 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8777576 centimeters in kilometers?\nAnswer: 0.000008777576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7554 (base 8) in base 2?\nAnswer: 111101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1235 and 13\/449673.\nAnswer: 29228745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 277, 718, 1355, 2200, 3265, 4562, 6103?\n\"Answer: 2*a**3 + 80*a**2 + 3*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 6:54 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 39556368?\nAnswer: 435120048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -59. Let x = -17 + d. Differentiate -6*o + x*o - 2*o**4 - 1 wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3*d - 12. Let j be w(-6). Let o be 3 - ((-7)\/21 - 18292\/j). Suppose -3087 = -7*f + o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 6*z + 4. Let x = 182 - 143. Let g = 32 - x. Give w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.3 + 9.4. Which is the closest to x? (a) -2 (b) 2 (c) -1 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 10, q: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let v be (1868\/(-12) - 0) + 0. Let g = -154 - v. Sort g, -0.5, a in decreasing order.\nAnswer: a, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onmn when four letters picked without replacement from {m: 4, z: 1, n: 4, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4036357408 - 2556528720 - 15528*g**2 - 2344903267 - 5*g**3 - 5652593550 - 30630615*g - 5907*g**2 = 0. What is g?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1319309356 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 44*a + 83398. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:36 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28661520*3\nAnswer: 85984560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 39\/(-9))\/(-4). Let k = -4.214 - -4.014. Which is the third smallest value? (a) -5 (b) -3\/7 (c) z (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 40903206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18 - (0\/(-14))\/14\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -94601, -380149, -856059, -1522331?\n\"Answer: -95181*w**2 - 5*w + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 26 = -0*v - v, -2*q = 4*v - 14. Let x be (6\/(-4))\/(v\/(-304)). Suppose -4*t - 2029 = -2105. What is the highest common factor of x and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 + 4 - (88 - 90) - 14\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 2*c**2 + 2*c**2 + (-3*c + 3*c + c)*(-3 + 3 - 6*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 40. Let m be (5\/24)\/(6\/b + -1). Let r be (-14)\/18 + 6\/(-27). Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*t + 176*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 + 26*c**4 - 7*c**2 + (c**3 + c**2 - c**2)*(-2*c + c - 3*c).\nAnswer: 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, h: 3}. What is prob of picking 1 h and 3 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a**4 - 5*a**4 + 45*a**2 + 2*a**3 + 1 - 28*a**2 - 7*a**4 - 3*a**3 in the form o*a + s*a**4 + u*a**3 + t*a**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10537 + 10536.6. Sort -39\/5, 30, x, 2\/7 in decreasing order.\nAnswer: 30, 2\/7, x, -39\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 + 2. Let b be s(3). Suppose -82 = -4*a + b. Suppose 0 = 5*m - a - 56. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34148344 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*r + 3*g - 9, -3*r + 2*g = -5. Let w(o) = o**3 - o**2 + 5*o - 2. What is the tens digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6168, 6154, 6128, 6084, 6016, 5918, 5784, 5608?\nAnswer: 5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -208215 divided by -5\nAnswer: 41643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -55*f + 51*f. Suppose 29870 = 6*v - f*v + 2*d, 5*v + 3*d + 74715 = 0. What is v rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 17943*z - 107655. What is h(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 + 13 + 6 - 58187*d + 58187*d to v*d**2 + z*d + a and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 14*k + 95698 + 55189 = 0. Calculate the greatest common divisor of k and 726.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/3 + -1 + 0. Suppose -n = -5*g - 2. Suppose -g*u + r = -58 - 62, -u + r = -60. What is the greatest common divisor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-48) + -2*(-1)\/(-12). What is the closest to 0.8 in 5, z, 2, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 1. Let l(j) = j - 4651 - 4646 + 9297. Give -c(q) + 4*l(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 1:44 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 94, -239, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-10) + 434\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*((0 + 0 - 1)*(6 - 2 - 3) + 3 + 4 + 0)*(6*p - 4*p + 0*p).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 0.3 (b) 11 (c) -14\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = 2*q - 72, q = -8*q + 8*q - 5*x + 34 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137100043 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -16 + (-15 - (-25 + 43))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + a - 1. Suppose 61*i = -21 - 59 + 19. Let z(x) = -x**3 - 36*x**2 - 2*x + 2. Determine i*z(b) - 2*d(b).\nAnswer: -b**3 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13364263 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/8360 and -15\/77.\nAnswer: 58520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 3*b. Let d be m(-2). Suppose 3*h = d*h - 6. Let w = 3 - 0. Solve 5*i + h = -w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402630.\nAnswer: 2, 3, 5, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32123 (base 4) to base 14.\nAnswer: -49d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51.7 * -2.95\nAnswer: -152.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87\/44 - 8\/11. What is the common denominator of (2 + 6)*6\/(-44) and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5546, 6792, 8768, 11474, 14910, 19076?\nAnswer: 23972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -855431, -855435, -855441, -855449, -855459?\n\"Answer: -c**2 - c - 855429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -c - 4, 0*s + 2 = -c + 2*s. Suppose 5*y + c*y - 4305 = 0. Suppose 5*m = 296 - y. Round m to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -14*h + 6. Let m(f) = -f**2 - 2*f + 26. Let k be m(0). Let b = -23 + k. Let q(c) = 5*c - 2. What is b*g(s) + 8*q(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + 69*c**2 - 198*c + 2. Calculate f(3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/884 and 79\/520?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 18, 42, 76, 120?\n\"Answer: 5*n**2 - n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3 - 232525*g**2 - 48059285*g - 2477784995 = 0.\nAnswer: -103, 46711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 28, 40, 56, 76, 100, 128?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*i**2 - 5828*d**2*i*u + 42*d**2*u - 2*d**2 - 4*d*i*u - 39763*d - 26*i**2 wrt d?\nAnswer: 4*i**2 - 11656*i*u + 84*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (51 - -4) + -75 - (-1 - -14)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6 times 42?\nAnswer: -277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w*y**3 - 15795267*w*y**2 - w*y + 2*w - 35059*y - 82 wrt y.\nAnswer: 6*w*y - 31590534*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 - 71 = 9*t. Which is bigger: t or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35991098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 16) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-6) - (-10)\/(-15). Suppose 3 = -2*i + o. Let a = 6 + i. Solve -2*c - 3*f - 1 = 0, 0 = -a*c + 4*c - f - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1231*t**3 - t**2 - t + 1. Let w be b(1). Suppose -3*a = -8*a + w. Let z = a + -67. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-508)\/2032*((-46)\/4*3)\/(3\/8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:30 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/18)\/(2\/12). Solve -z - 3 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(14)\/sqrt(2))**2 - sqrt(7)))*-6.\nAnswer: -66 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 3*z - 3*z**2 + (3 - 3 + 16*z)*(7 - 7 - 15*z + 1 + z - 1 + (0*z + 0*z - 2*z)*(3 - 4 + 3) - z + 0 + 0) in the form x*z**2 + i + c*z and give x.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7244940, 7244938, 7244936?\nAnswer: 7244934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 23\/7 - (-614)\/7. Suppose 2*q - b + 20 = p, q - 2*b - 28 = 0. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p + 5. Find the third derivative of -5*z**5 + 3*z**p + 2*z**5 - 2*z**2 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 < -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:48 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9816\/24565 + -2\/4913. Let d = -0.5 - -3.5. Let u = -3.2 + 3. Put j, -3, d, u in ascending order.\nAnswer: -3, j, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1344 divided by 24\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9409*m**2 + 388*m + 4.\nAnswer: (97*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -135, -136, -139, -144, -151, -160, -171?\n\"Answer: -x**2 + 2*x - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -74, 6 in ascending order.\nAnswer: -74, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 4*q**2 + 0*q - 1\/20*q**5 + 0*q**4 + 2\/3*q**3 + 0. Differentiate n(c) with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 609*t**2. Let u(a) = -7*a. Determine c(u(n)).\nAnswer: 29841*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.75\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 92975*b - 16139620.\nAnswer: 5*(b - 172)*(b + 18767)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Is 18 a factor of 32\/y + (-10)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 20 = -5*z - 98, u = 3*z + 50 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 33*w - 27. Let z be d(12). Let q = z + -727\/9. Which is the closest to -0.1? (a) 0 (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8745120 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373931 divided by -17?\nAnswer: -139643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 - 2*f + 2. Suppose 19*z - 9*z - 10 = 0. Let k be h(z). Put k, -7, -4 in ascending order.\nAnswer: -7, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b81 (base 14) to base 7.\nAnswer: 130421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 8*y**4 + 182*y**3 - 420*y**2 - 594*y = 0?\nAnswer: -99\/4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + d - 7 + 6*d - 3*d.\nAnswer: 4*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 82, 87, 92, 97, 102?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 275.1568ml?\nAnswer: 0.2751568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 3a8066?\nAnswer: -3a807b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 14. Let g be c(-12). Let n be 0 + 1\/((-5)\/g). Factor 0*j + 2\/5*j**2 - n.\nAnswer: 2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 3. Let f(n) = -5*n**2 + 22*n - 1. Calculate i(f(w)).\nAnswer: 5*w**2 - 22*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-two sevenths of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-8) - (4 + (-354)\/48). Let u be (15\/35)\/(a\/84). What is the greatest common factor of 88 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23739 (base 14) to base 11\nAnswer: -59a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -67, -96, -123?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 43*o**2 + 1280*o - 7526. Give g(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 2, -3.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -94\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 54*m - 144*m + 46*m + 36*m.\nAnswer: -8*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 10*k**2 + 24*k - 22. Determine w(9).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.8130196.\nAnswer: 1.0130196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4060*a + 4664. Is v(10) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -3, 4\/9, 2\/123, -1\/869?\nAnswer: -1\/869","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (9 - (-4 + 10 - -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 283 = 1088. Let q = 1125\/7 - j. Which is the biggest value? (a) -6 (b) -3\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6840 + -5*24\/20. Let a = -4105 - m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*s - 3*a - 21, -9 = 3*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.021, 0.3, 4, -3\/22, -2, 1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1 + 7 + y**2 + 10*y - 5*y. What is o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230758 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -7\/7075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - 198 + 198 + 12*j**3.\nAnswer: 12*j**3 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*u - 5*u + 1939 = 0, 0 = 5*v - 5*u + 3225. Let x = -384 - v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 8, h: 2, c: 1, a: 2, l: 1}. Give prob of picking 1 u and 1 a.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5876949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 8:07 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 - 335. Let d(p) be the second derivative of 0 + 0*p**2 + 1\/14*p**7 - 1\/4*p**4 - 8*p + 9\/20*p**5 - 3\/10*p**6 + v*p**3. Let d(j) = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2179.749 - 2182. Let h = 2.25098182 + c. Round h to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23068?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7212*m = 3602*m + 3780*m - 12750 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89884 to 2 dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110310 (base 4) in base 10?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12204919 greater than 12204919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/22 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284.09 + 283.9. Let m = -0.4 + 0.3. Put 5, m, v, -0.4 in descending order.\nAnswer: 5, m, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:32 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*j + 431 = -369*j + 95 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3637486, -7274979, -10912476, -14549977, -18187482, -21824991?\nAnswer: -25462504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -13. Let c = -1759 + 1783. What is the closest to c in 4, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 4987108*i - 4987103*i - 18, -38 = 12*g + 5*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7061.399 kilometers to centimeters.\nAnswer: 706139900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (117 - 59)) + 76.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 22*v - 12. Let h be p(-2). Is -54 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542061233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -805712?\nAnswer: 805708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 + 1354 = 15*a. Let l be a\/(-21) + (-6)\/(-42). What is the closest to 0.1 in l, 2, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122.127 + 122. Let u = j + -55.873. Let d = -59.3 - u. What is d rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from ooloooooloololoolol?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/3)\/s)\/(s**(-1)*s)*(s*s*s**(-2))**40)**15)**12 assuming s is positive.\nAnswer: s**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 12}. What is prob of picking 2 i?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from {j: 1, d: 3, z: 2, s: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 378 - 382 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 707 + -273. Let t = k - 441. Let c(l) = -2*l - 16. Determine c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*w = -18, 20*x + 89 = 785*w - 788*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*p - 708, -2*l - 2*p + 354 = 2*p. Let b = l + 46. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1.15454?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 49539323\nAnswer: -2\/49539323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-2 - (0 - 1)). Let i = f + 0. Let u = 11 + -7. Which is the closest to -2? (a) i (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -28*o**3 + 5*o**2 + 5*o - 5. Let w(u) = 154*u**3 - 28*u**2 - 28*u + 28. Give 5*w(d) + 28*z(d).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, l: 3, q: 1, y: 1, m: 4}. Give prob of sequence mlq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 24. Let v(w) = -3*w + 36. Let u(r) = -8*k(r) + 5*v(r). Let d be u(8). Sort -3, 4, d in increasing order.\nAnswer: d, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 13}. Give prob of picking 2 k.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*z - 716, -129*z = -127*z + 3*f - 701. Let s = 415 - z. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, 0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 139*f - 2023. Calculate g(15).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w + 23. Let r be h(6). Suppose 7*j = r + 728. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -9 in increasing order.\nAnswer: -9, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17243 smaller than 86211\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -97*b + 6212. Let y be a(64). Suppose h = 6*h. Suppose 2*l - 6 = -0*l. Solve -s + 12 = -y*f, 4*f = -h*s - l*s - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1260)\/78 + 6\/39. Let s be 4\/(3\/((-12)\/j)). Let y be (1\/3)\/((-2)\/6). Put -2, y, s in ascending order.\nAnswer: -2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 582 - 292 + 2*m - 270. Let w be r(-8). Solve g = -w - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 908 = -4*g, 4*g = -0*g - q + 917. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3087035, -3087045, -3087055?\n\"Answer: -10*r - 3087025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403.2 - 77974290?\nAnswer: -77971886.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q + 28. Suppose -2*g = 3*m - 14, -2 + 28 = 5*g + 3*m. What are the prime factors of (0 + q)*(-5 + g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -349 + 249. Let j = a - -126. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w - 10 + 10 to c*w + h and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 736147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002484 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6947.43 minus -115278647?\nAnswer: 115271699.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(60)\/(sqrt(1452)*-1).\nAnswer: -6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + 4*o)*((1 + 0 + 2)*(-o + 2 - 2) - 1441 - 8*o + 426*o + 1443).\nAnswer: -415*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/((a**(-2\/7)\/a)\/a*a))\/a**10)\/(a**(-3\/7)*a*a**(-2)\/a))**(-2\/3))**(32\/7) assuming a is positive.\nAnswer: a**(640\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n - 20. Give u(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 305\/30)*3*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 717233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from wiiiiwiiii.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119509 divided by -4121.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 37*n - 10. Let s(p) = 306*p - 81. Let l(d) = -4*s(d) + 33*x(d). Let z be ((-2 + -5)\/7)\/(3\/(-21)). Calculate l(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/14889168 and 65\/18.\nAnswer: 14889168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-34 - -8). Suppose -d + 7 = -z. Suppose -100 = 2*b - z*p + p, -b - 5*p - 80 = 0. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 96, -9, -174, -411, -732?\n\"Answer: -2*u**3 - 18*u**2 - 37*u + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*y + 20 = 2*y, 3*p - 4*y + 5 = 0. Suppose 10 = -p*m + 4*x, 0 = 4*m + x - 17 + 4. What is the smallest common multiple of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*q = -15 + 1, 15 = 3*j - 3*q. Let y = -22 + 57. Suppose j*g - y = -1. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -2\/11, 1\/2, -3\/4, 57386?\nAnswer: 57386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 - 4*w - 25 - 28)*(-3 - 2 + 2)*(-2*w + w + 3*w) to q + i*w**2 + o*w and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -115, -110, -105?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/5))**(-24)\/(a**(3\/5)\/a**(-1\/5)))\/(a**5\/((a\/(a**(-3)\/a)*a)\/a))**(5\/6) assuming a is positive.\nAnswer: a**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.28, -3.778, -24, 0?\nAnswer: -3.778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ialilaaina. What is prob of sequence ia?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95612*t + 31881*t + 31878*t + 31854*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - sqrt(70)*-3 - sqrt(70) - sqrt(70)))\/sqrt(10) + sqrt(7) - (sqrt(7) - sqrt(28)\/(sqrt(4) - sqrt(144))).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 + 7*a**5\/12 - 7*a**4\/3 - 9*a**3\/2 - 50*a**2. What are the prime factors of n(33)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aafffuugfryfa. What is prob of picking 2 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 9*h + 4. Let y be g(4). Sort 0, 5, -1, y in decreasing order.\nAnswer: y, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -57. Let y = 40.169 + 0.031. Let u = y - m. What is the nearest to 1 in u, 4, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 10 - 5*a + (1 - 4 + 2)*(a + 3*a - 2*a) + 5*a + 0*a - a + (-3 + 4 + 0)*(37*a - 563*a - 35*a) to n*a + f and give n.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2028 and 8\/1393743?\nAnswer: 5574972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000201001201 (base 3) to base 6.\nAnswer: 344552501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - b**3 + 7*b - b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 5, o: 5, q: 1, r: 2}. Give prob of picking 1 r, 1 o, and 1 d.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 4)*(2 + 199). Let y = 12037\/10 - k. Calculate the common denominator of y and -13\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 324\/540 + 6\/(-10). Let s(m) be the first derivative of 23 + l*m**2 - 21\/5*m**5 + 0*m**3 + 0*m**4 - 23*m. What is the derivative of s(q) wrt q?\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 10) to base 15\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - -1100011011010100?\nAnswer: 1100011100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3756304 to the nearest integer?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.131, -7, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 459 + -753. Let z = -149 - s. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0*w**2 + 0 + 0*w**3 + 7\/6*w**4 + 19*w + 7\/10*w**5. What is the third derivative of p(d) wrt d?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(99) - (sqrt(99) - sqrt(99)*2)*4))**2*3.\nAnswer: 1800*sqrt(11) + 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20 - (-7 - (2 - 6))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1144 - 1144. Let x(n) be the second derivative of 0*n**5 - 10*n + 0 + 0*n**2 + a*n**3 + 2\/15*n**6 - 1\/3*n**4. Find the third derivative of x(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*w + 7*u - 475, -575 = -4*w + 5*u. Let p(q) = 3*q**3 - q**2 + 5*q - 6. Calculate the smallest common multiple of w\/22 - (-2)\/11 and p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3072 + 3369. Solve 12 = -c*a + 291*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -9*m**2 + 7*m**2 - 15*m + 5*m - 3. Differentiate u(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 39\/(-3)) + -4. Solve -3*h + d = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 1\/3*p**3 + 1\/12*p**5 + 0 - 1\/4*p**4 - 1\/120*p**6 - 6*p**2 + 0*p. Calculate c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 56232\nAnswer: -1\/56232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 404805008304 and -0.3?\nAnswer: 404805008304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7869045 - 1646918.\nAnswer: 6222127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*(-468)\/(-64896))\/((-9)\/(-2))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0)*-2 - (5 + 1 + sqrt(2))) + -3.\nAnswer: -9 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10477350.8 or 1?\nAnswer: -10477350.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -0.5. Let z = -57 - -61. Suppose -3*b - 2*f + 4*f = -8, 4*f = z*b - 16. What is the closest to -1\/2 in 3\/4, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 26\/6. Suppose 0 = -m*v + 18 - 3. Solve -2*w + 2 = -5*g, -w = -v*g + 4*g - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2. Let h(k) = 10*k - 14. What is h(u(x))?\nAnswer: 20*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2*9\/12). Let o = 2429 + -16999\/7. What is the closest to s in -4, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4435)\/14192)\/((-5)\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/2111 + -6401\/71774. Let l = -10\/17 - s. Let r = -0.06 + 0.36. What is the third biggest value in -4, r, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g + 21 = -44*g - 5*k, -2*g - 29 = 5*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w. Let p(v) = 119*v. Let q(h) = -42*l(h) - 5*p(h). Let z(x) = 7*x**2. What is z(q(g))?\nAnswer: 343*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12274*k**3 - 16948*k**2 - 6720*k - 576.\nAnswer: -2*(17*k + 2)*(19*k + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**3 + 7*l**3 + l**3)*(-3*l + 2*l - 2*l) as w + c*l + t*l**4 + p*l**2 + x*l**3 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11\/4)\/(u*u*u\/u**(-2\/17)*u*u) assuming u is positive.\nAnswer: u**(-535\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 11, x: 2, b: 2}. What is prob of sequence mb?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -195.32655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -914*x + 961*x - 1504 = 0. What is the highest common divisor of x and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -40*y. Let p(s) = -8*s**2 - 9*s**2 + 32 - 64 + 32. What is p(t(z))?\nAnswer: -27200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1539)*2*-5 + -4)**2 + 3.\nAnswer: 720*sqrt(19) + 153923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40380385?\nAnswer: 5, 8076077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 80625 and -663890696.\nAnswer: -663810071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 12, 3*c - 12 = -1185*y + 1184*y. Solve -a - c = -5*z, 3*z = 5*a - 0*z + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 51255*i + 102504. Determine t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000262 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1820*x + 2335*x = -5665 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -580427 times -0.2\nAnswer: 116085.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/479, 0.3, 5, 0.5, 0.4?\nAnswer: -3\/479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*m + 61*m - 8*m + 1460 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12455237 to the power of 1\/2, to the nearest integer?\nAnswer: 3529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43\/5 + (-6)\/(-15). Let a be 15\/(-10)*(-66)\/c. Suppose 3*p - a + 5 = 0. Solve -u - u = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22600789*l**2*w**3*x**2 - 3*l**2*x**2 - 57*l*w*x**2 + 9062*w**2 wrt w?\nAnswer: -135604734*l**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6520 = 4*y + 3*n, 0 = -y - 4*n + 1647. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7686641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67093264 divided by 17882.\nAnswer: -3752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 601*f**3 - 8*f - 6. Determine h(-1).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/11, 0.12, 4, 0 in decreasing order.\nAnswer: 4, 28\/11, 0.12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46436*y**6 + 4*y**3 + 1795811*y**2 wrt y.\nAnswer: -5572320*y**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 84*p - 1236 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c - 1. Let z(k) = -4*k**2 + 2*k - 3. Let j be 2\/((222\/(-66) + 3)*66\/(-36)). What is j*z(v) - 6*f(v)?\nAnswer: -6*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*z**2 + 8*z**2 + 12*z**2 + (1 - 2*z - 1)*(0*z + 2*z - 4*z) + 3*z - z**2 - 3*z - 26*z**2 - 451*z + 451*z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -628 - -619. Let a(q) = -q**2 - 7*q + 8. What is a(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2 and 3\/130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.09 less than 5?\nAnswer: -15.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 10*y - 10. Let d(t) = 2*t**3 + t**2 + 4. Let h be d(-2). Let x be c(h). Suppose 617 + 205 = x*r. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 3. Suppose -2*k + 20 = o*i, 4*k = 2*i - i + 40. Solve k = -l + 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, 17, -3, 2 in increasing order.\nAnswer: -22, -3, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.777, 1\/19, 13\/63 in increasing order.\nAnswer: -0.777, 1\/19, 13\/63, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*m = -32, -8 = -3*m - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**7\/168 - y**6\/120 + y**5\/40 + y**4\/8 + 3*y**3 + 7*y**2. Let a(b) be the first derivative of u(b). Is a(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaanababnnaaannnao. Give prob of sequence nana.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53119, -106285, -159451, -212617, -265783?\n\"Answer: -53166*m + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 a when four letters picked without replacement from {a: 5, i: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -175 in decreasing order.\nAnswer: 0, -0.4, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + (2 + 0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18)*-2*3)\/(320\/(-480)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*w - 60, -3*g + 5*w = -54574 + 54496 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.325 times -165968\nAnswer: 53939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 0, -2*v + 2*b - 5*b + 20 = 0. Let d be 4 - (-2 - v\/(-1)). Suppose -10 - 2 = -3*j. Solve -m + j*w + 24 = -d*m, 2*m - 2*w - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4 = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 323 = 979. Differentiate -3*d**3 + 1 + 43 + 342*d - l*d wrt d.\nAnswer: -9*d**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 281*z - 49242 + 3258 = -646*z for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 20*g + 38 + 64 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -61. Suppose -s*i - d = -6*i, i = 4*d. Suppose -5*h + 11*h - 72 = i. What is the least common multiple of 20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4137604308.\nAnswer: 2, 3, 43, 890957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -4*b - 4*p, -18274*b - 164 = -18276*b + 20*p for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (25\/5)\/15*3 + 2994 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 37*a**2 + 34*a + 178. Let b be s(38). Suppose 0 = 2*m - 6*m + 20. Let z be (-625)\/(-3) - m\/15. What is the highest common factor of z and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397041431 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8041598 or 0.32?\nAnswer: -8041598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.5, 4\/9, 3\/4, 5, -2.92, 210?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 389, 0.05, -0.06, 0.5, -4\/11, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 5 in ascending order.\nAnswer: -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1744 (base 8) to base 16\nAnswer: 3e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - -2) + 2 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2072, -4088, -6046, -7946, -9788, -11572?\n\"Answer: 29*l**2 - 2103*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 6. Let p be 4\/(-12) - 8\/(-6). Let y(k) = -2*k**3 - k**2 - 3*k + 2. Let c be y(p). What are the prime factors of i(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15580076.\nAnswer: 2, 19, 29, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q + 7. Is p(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-768)\/(-32))\/(-6168)*2.\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 50*k**2 - 83*k - 1588. Give j(-51).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 674 = -590. What is the second smallest value in 3, 3\/4, -3, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((214260\/8)\/(-5))\/(4\/8). Is (-8)\/(-12) + -2*t\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 17)*(89 + 66*n - 89)*((3*n - 4*n + 3*n)*(-1 + 1 - 1) - 2*n + 2*n - 3*n - 2) to a*n**2 + u*n + q and give u.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 92, 201, 330, 485, 672, 897, 1166?\n\"Answer: j**3 + j**2 + 85*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 8. Let b be o\/(-2)*332\/50. Let l = b + 87\/50. Find the common denominator of l and -23\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 11*t - 12.\nAnswer: (t - 12)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660449181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 130\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -8 - (-4 + 34 + -31)) + 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101323 + 1?\nAnswer: -2101322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 80*t - 2966. Let v be x(39). Solve v - 259 = -15*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*n**2 - 128\/11 - 32\/11*n.\nAnswer: -2*(n + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 381.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.70345729 to one dp.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85670719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 3*sqrt(242) + -4 - -5*sqrt(242)*2) + -2.\nAnswer: -6 + 154*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/6)\/(-1))\/(4\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1758*-296.5\nAnswer: -521247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -19. Let c be (-186)\/10 + (-4)\/j. Let v = -16 - c. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10257, 21586, 33983, 47448, 61981?\nAnswer: 77582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 - (0 - -1)) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -699175, -699247, -699319, -699391?\nAnswer: -699463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31880.00021633 - -31880. What is r rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**2\/5 - 5584*p\/5 + 73606\/5.\nAnswer: -2*(p - 13)*(3*p + 2831)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2892)\/(-285344)*(-48)\/(-9).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.65 (b) 2\/3 (c) 9 (d) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90340985 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*r - 3, 11*r = 12*r + o - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2 - 36992*x + 85525504 = 0.\nAnswer: 4624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q**3 - 13*q**3 - 4*q**3)*(-2*q - 3*q + 3*q).\nAnswer: 56*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -3, -8, 20, 3, -4 in increasing order.\nAnswer: -8, -4, -3, 0, 3, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1007*w + 5. Let q(h) = 2021*h + 9. Let k(n) = -7*a(n) + 4*q(n). Let c(j) = 2*j**2. Calculate c(k(d)).\nAnswer: 2142450*d**2 + 4140*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 - (27 + -1 + 16 + -39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213102203102 + 13?\nAnswer: 213102203121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 200\/((-16)\/14 + -1 + 2). Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((225\/138)\/5). Let r = d + -12\/5. Let j = 253\/24 + -32\/3. Which is the second smallest value? (a) j (b) 0.02 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3527724086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 423, 0, 6, 1.\nAnswer: 0, 1, 6, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -454318*w + 5451816. Calculate o(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-32)*-4*10. Let g(j) = j**3 - 6*j**2 + 10*j - 3. Let h be g(w). Calculate the greatest common factor of h and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 108 = 4*x. Let r(b) = 5*b + 0*b - 6 + 3 - 3. Calculate the remainder when x is divided by r(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -40, -176, -440, -874, -1520?\nAnswer: -2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -17 + 4 - -5) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 5. Let o(t) be the third derivative of -t**3 + 0 + 0*t - 14*t**2 + 1\/6*t**4. Suppose -107*j + 114*j + 14 = 0. Determine j*o(w) + 3*s(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -5 - (3 - -21 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74349.8 rounded to the nearest one hundred?\nAnswer: 74300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 19*v**2 + 31*v**2.\nAnswer: 43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800109 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*(4 + -6*sqrt(245)*1 - (1*(0 + sqrt(245)) + sqrt(245) + sqrt(245) + 0 + 5)))*4)**2.\nAnswer: 10080*sqrt(5) + 317920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:02 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*t**2*x - 8*t**2 + 64*t + 3*x**3 - 2*x**2 with respect to x.\nAnswer: 74*t**2 + 9*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*v**2 - 362525*v**3 + 362584*v**3 - 135*v**2.\nAnswer: 59*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1780 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3+-9427082.41041\nAnswer: -9427079.41041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**3 - 222*l**2 + 8*l**3 - 88*l**2 + 310*l**2.\nAnswer: 25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + x)*(4 + 1 - 2)*(-2 - 7 - 2) to the form f + y*x and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3567 (base 8) to base 10.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) + 723\/(-12). Let l be (a\/9)\/4*-3. What is the third derivative of -l*v**5 + 0*v**5 + v**2 + 4*v**5 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**3 + 192*h**2 - 6*h + 224. Calculate the remainder when m(32) is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 543.00243 + -543. Round n to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/((-1090)\/15)*((-22)\/6)\/((-11)\/(-176))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 119725.3063 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((14\/3)\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**5 + 0*a**5 + a**5 + (2*a**3 - 4*a**3 + 0*a**3)*(0 + 0 + 2*a**2).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5\/3 - 3200*f**4\/3 + 205943*f**3 - 3609191*f**2\/3 + 3147418*f\/3 - 249480 = 0. Calculate f.\nAnswer: 1\/2, 5, 308, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let w be (5\/(1 - 6))\/(1\/1). Let g(o) = -88*o**2 + 44. Let c(v) = 1. Let n(b) = w*g(b) + 44*c(b). What is n(y(u))?\nAnswer: 88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {x: 1, g: 1, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47388295?\nAnswer: 5, 109, 86951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1 - 32*w + 31*w + 8. Give m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 2, -0.1, 0.1 in decreasing order.\nAnswer: 2, 0.1, -2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-11)*1)\/(16\/((-178464)\/(-1690)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104.808 + 0.808. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-52) + 0 + 49503*30\/133965 + -11\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -21\/2. Let k = 27941\/21721 - 2\/3103. Which is the closest to j? (a) k (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -371002842 by 2290141.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -2. Suppose 2*h + 0*h = -4*z + v, 3*z + 4*h = 7. What is the units digit of 8\/4*1\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*x - 9*x + 288 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeqeeeeq?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -47. Is (10 - s\/(10\/5))*3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, k: 2, p: 1}. Give prob of sequence zb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38403 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-816)\/85)\/(-16))\/((-27)\/10)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 35763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 = 4*o, 2*o - 5*o - 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-1 - 3) - -13. What is the lowest common multiple of 9 and (3\/w)\/(2\/(-6)) + 25?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 95. Let k be 5\/(1\/(-1 + 2)). Suppose -3*u + 2*y + 250 = 0, 3*u - k*y = 121 + 126. What is the greatest common factor of h and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 21*i**2 - 18*i - 28. Let w be s(20). Suppose 198 = -10*a + w*a. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*p**2)*(-50*p + 79*p - 207*p)*(0 + 10 - 3) + 0*p**3 + 0*p**3 - 2*p**3 in the form c*p**3 + r*p**2 + n*p + h and give c.\nAnswer: -2494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302567 by 452.\nAnswer: -302567\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/5)*m)\/(m\/m**(-18)))\/(m**(-2\/21)*m\/m**(-17\/6)))**35 assuming m is positive.\nAnswer: m**(-4691\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/7 + 57*s**3\/7 + 297*s**2\/7 + 243*s\/7.\nAnswer: 3*s*(s + 1)*(s + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 60 = 5*l + 4*z, 0 = 3*l + 5*z - 49. What is the remainder when 63 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 1 + (-11 - -2) - -14 - -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 17 - 20 - -23?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/147 - 44\/147. Let z = -5.4 + 6. Let r = z + -0.5. Sort r, m, 1\/7 in ascending order.\nAnswer: m, r, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/13 + 138\/65. Suppose -2 = 5*h + 3. Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4235)\/275)\/(8\/(-20))*36\/(-63)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 470825221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 3 = m, 4*t + 9 = 3*m. Suppose -m = -p - 3. Let w(x) = x - 9. Let g be w(7). Which is the biggest value? (a) p (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - p + 15 = 3*p, 6 = -2*t - 5*p. Let z be (-3 - -1)*t\/2. Is 1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -2, 2\/3, -5, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -810, -1221, -1644, -2079, -2526, -2985?\nAnswer: -3456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 466\/44*806\/(-2041). Let f = -1\/1727 - v. What is the common denominator of -91\/6 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 693.6426 years?\nAnswer: 0.6936426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 2:54 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -16, 5, 1\/2, 19, -1\/6, -1\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 - -75. Let p(k) = -23*k**3 - 8*k**2 - 8*k - 8. Let c(x) = 15*x**3 + 5*x**2 + 5*x + 5. Determine j*c(y) + 5*p(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/16*1\/(-1)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 15 = 4*h. Let i = 53 - 29. Suppose 3*l = 4*d + 74, -i = h*l + 3*d - 128. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2650.461013 and 1.\nAnswer: -2649.461013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**3 + 6*q**2 + 25. Let p(n) = -5*n**3 - 7*n**2 - 26. Calculate -4*k(s) - 3*p(s).\nAnswer: -s**3 - 3*s**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*o + 7*o - 6392 + 1392 = 0 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000021971997 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - z + 3. Let m be t(-2). Is m smaller than -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 18\/13373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -181, -477, -1047, -1981?\nAnswer: -3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.077 - -0.052. Let y = -0.019 - d. What is y rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.32 from 0.29794959.\nAnswer: -0.02205041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18853716.00000055 - -18853712. Let l = m + 4. What is l rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10124001 - -104?\nAnswer: 10124110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67903 is divided by 33951.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1397.9 + 1398. Let r = 0.41 - 0.01. Which is the closest to -1? (a) r (b) -2\/23 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1 + 88\/121. Let g = j - 37\/66. Which is the biggest value? (a) 1\/2 (b) g (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42963000 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 11. Let k(m) be the second derivative of m**3\/6 - 3*m**2 + 6*m - 4. Let n(b) = -4*b**2 + 4*b - 3. Let q be n(2). What is q*k(w) - 6*c(w)?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Let q(t) = 2*t - 3. Let a = -110 - -111. Give a*q(l) + 3*j(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*y - 45805 + 137283 - 45813 - 45665.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/12 - h**3\/6 - 2*h**2. Let d be -9 + 9 - 1*(1 - 1). Suppose -3*k - 2 = -3*j - 5*k, d = j - 3*k - 8. Determine r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*h - 29*h - 4*h**2 - 4*h**2 + 7*h**2 in the form z*h + j + q*h**2 and give z.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 72*v - 61. Let c be j(-13). Is c less than or equal to -1337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -16 + 3 + 6 - 12*l - 1. Let j be c(-9). Let t = j - 65. Calculate the greatest common divisor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.926 and 0.897891?\nAnswer: 4.028109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**3 + q**2 - q. Let i = -26 - -27. Determine f(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n\/n**(2\/11)*n*n*n)\/n)*n**(-2)*n*(n**(-4\/7))**(1\/35) assuming n is positive.\nAnswer: n**(-10334\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*v + 3*m, -75 + 100 = 5*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/3 - -113\/12. Suppose -72 = -2*y + 4*i, 2*y - 82 = -4*i + 14. Suppose 0 = -y*l - 61*l - 412. What is the second smallest value in l, -3, -0.3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, -226, -492, -742, -970, -1170, -1336, -1462?\n\"Answer: n**3 - n**2 - 280*n + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*x - 3*x**2 - 3*x**2 - x**2 + 3*x**2 + 8*x**2 in the form g*x**2 + z*x + u and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 + 16 - 695*d + 46 + 102 wrt d?\nAnswer: -695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(-6\/13)))**(1\/19)\/((r*r**(-13))\/(r**(-26)*r)) assuming r is positive.\nAnswer: r**(-3218\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 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: Let l(t) = 515*t - 2823. Determine l(5).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -50*d + 38. Let x be k(0). Solve -28 = -10*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/1771*-2783 + (-27 - -8)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 - 4*p**2 - 5*p + 3. Let w(l) = l**2 + l + 1. Let x(c) = -4*c**3 + c**2 + 6. Let d(h) = 4*w(h) - x(h). Determine 4*d(o) + 3*k(o).\nAnswer: o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/9)\/((-2)\/18). Let w = q - -56. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4315351 is divided by 863064?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qddqdqe. Give prob of sequence dq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784, 1368, 1754, 1942, 1932, 1724, 1318?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 13. Calculate the remainder when k(-4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -0.104028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:19 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) -3\/10 (b) -1\/5 (c) -4 (d) 1 (e) -0.4 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r + z = -16, 68 = 5*r - 2*z. Let o(y) = -2*y + 28. Let w be o(r). Solve i + 4*s + 16 = -2, 2*i - w = 2*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.198161 to 3 decimal places.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 645*j**2 - 2493*j**2 - 297*j**2 to the form r*j**2 + i*j + s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -361*g**2\/4 + 7125*g - 140625 = 0. What is g?\nAnswer: 750\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3032 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*g**4 + 3\/5*g**5 + 0 + 0*g + 0*g**2 + 3\/5*g**3.\nAnswer: 3*g**3*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2568 + -4?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2071 times 5?\nAnswer: 1.0355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from {t: 8, o: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683009?\nAnswer: 3, 41, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14654*g**3 - 73274*g**2 + 58636*g - 16 = 0. Calculate g.\nAnswer: 2\/7327, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j - 12*j - 16*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 62 = 78. Suppose 2*i = 16 - 10. Calculate the remainder when 54 - -3 - i - (-2 - -2) is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 231 in -0.1, 0, 1, -3\/5, -0.043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 - 2. Let i be z(-3). Let p = -370 + 383. Suppose 16*r = p*r + 12. Solve -1 = -r*v + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 41, 62, 111, 200?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 19*x**2 - x - 25. Let p be w(-19). Let r(c) = 7*c**2 + 4*c - 23. What are the prime factors of r(p)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.3 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 383*x**5\/5 - 246*x + 964. Differentiate c(d) wrt d.\nAnswer: 1532*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 27. Let s(q) = 4*q + 55. Calculate -2*s(f) + 5*w(f).\nAnswer: 2*f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5977430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*g + 14*g + 8*g - 29*g to u*g + q and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba4 + -4?\nAnswer: -ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -0.4, 4 in descending order.\nAnswer: 4, -0.4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 12 = -o, -4*o + 3*o + 4*o + 8208 = 6*o - 911*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2908 divide 31624500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40774, 40746, 40680, 40576, 40434?\n\"Answer: -19*o**2 + 29*o + 40764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:54 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13923087 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 649810668 to the power of 1\/2, to the nearest integer?\nAnswer: 25491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 12906 = 697*z - 5*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = -4*c. Solve x + c = p, -x - 1 = -0*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.06 times -4?\nAnswer: 2032.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 921 + 53. Suppose -p - 3*h + 71 = 0, 0 = -4*p + 6*p - 3*h - k. Calculate the greatest common divisor of p and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h + 186. Let j be o(0). Let v = j + -133. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.44 times -892.32\nAnswer: 2177.2608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 + 1 = 0. Suppose -n = -a + 1. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7605651 and 5694?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30325 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16485 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365290 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27614.\nAnswer: 2, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**2*u**3 - q**2*u**2 + 2*q**2 + 812*q*u**3 + 109*q wrt u?\nAnswer: -18*q**2 + 4872*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 3*w**2 + 14*w + 1. Let v(f) = -f**3 - 2*f**2 + 11*f. What is 2*i(d) - 3*v(d)?\nAnswer: -d**3 - 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 419631 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10))\/((132\/(-55))\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104973933 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 14*w**2 - 23*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bap when three letters picked without replacement from {a: 1, m: 1, p: 5, b: 13}.\nAnswer: 13\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-5))\/(10\/(300\/18)). Solve -7 = t*u - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3031 and 1599069?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 - 5784*o**4 + 2113944*o**3 - 16663616*o**2 + 43528260*o - 37221192 = 0.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198 = 194*k - 3526 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 25. Let g be l(10). Suppose 4*x - 460 = -4*c, g*x + 0*c = -2*c + 563. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 179095, -15, -26?\nAnswer: 179095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122011121102 + 110?\nAnswer: 12122011121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3 + 1 - 6 + 1 + 23 - 102 - 35 + (-1 + 0 + 3)*(1 + 0 + 0))*(3*y**2 - 2*y**2 + 2*y**2).\nAnswer: -354*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -61\/9176480 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1\/25, -2\/23, 5, 6.4 in increasing order.\nAnswer: -8, -2\/23, -1\/25, 5, 6.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgghiiqqqqhigiqg. Give prob of picking 2 i and 1 q.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyyp when four letters picked without replacement from {y: 5, c: 3, a: 2, g: 1, p: 1, s: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4455)*-4 + sqrt(4455))*2)\/(sqrt(405)*-2*1 + sqrt(405) + (sqrt(405) + sqrt(405) + sqrt(405)*2)*-2).\nAnswer: -10*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 2*n = 13*y + 29, 4*n - 18 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/60 - 7*a**4\/12 - 11*a**3\/6 - 4*a**2. Let l be t(-13). Solve -x - l*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqqeeqqe. Give prob of picking 1 e and 1 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56892, 56704, 56526, 56358, 56200?\nAnswer: 56052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -75a62 (base 11) to base 6\nAnswer: -2211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 270.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -15*m - 49. What is the remainder when p(-9) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9249\/14 - 1190993\/1806. Do 0 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 63?\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -6\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 + 347 = 4*n. What is the greatest common divisor of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**6\/420 - g**5\/35 - g**4\/7 - 8*g**3\/21 - g**2\/2 - 2. Let u(n) be the second derivative of r(n). Let u(b) = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y + 5*z = -15, 0 = 5*y - 2*z + 29. Let h = 33.1 - 33.1. Sort -18, h, y in descending order.\nAnswer: h, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnncnnnnct. What is prob of sequence cc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z - 2*z)*(0 - 7 + 2)*(1 - 4 + 2).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -640\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 12:38 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058197403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305524314\/211561 + 1\/30223. Let r be -1438 - (4 + -4) - 3. Let i = g - r. Find the common denominator of i and 53\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21226.6*0.3\nAnswer: -6367.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 g when three letters picked without replacement from {a: 2, v: 3, g: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mzmzmmmmmmmmmmmmmm?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) - 7\/6. Put 3, z, 0 in decreasing order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1327943 - -2544208\nAnswer: 3872151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Suppose -2*d + 25 = n + d, 44 = 2*n + x*d. Let y be 4*1\/(2 - 1). Solve y*k + 4 + n = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945721 is divided by 577?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -8*q**4 + 228*q**3 + 360*q**2 + 4*q - 120 = 0?\nAnswer: -1, 1\/2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.022 - -20.168. Let i = 171 + -169.99. Let l = i + p. What is l rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}